Hello Friends,
Welcome to Expert Guidance. Today in this Blog we’ll be covering the topic of FRACTIONS, which is a very very important topic for your maths paper and this topic we are doing since Key Stage two.
So in this topic we will be covering everything you have learned in your key stages up to GCSEs We will be going over each and every section followed by a Sample Questions on each of the concept so that you can have a better understanding of each of these topics.
The topics that we will be covering today are :–
- Understanding Fractions
- Equivalent Fractions ,
- Top-Heavy Or Mixed Fractions now to do the fraction questions it’s important for you to know how to
- Find The Least Common Multiple and The Highest Common Factor so we will be discussing that we’ll also be discussing
- Ordering Fractions then we will come to you how to
- Add Subtract
- Multiply and Divide the Fractions we’ll also cover
- Fractions of an Amount and then we look over how to convert
- Fractions to Decimals and Percentages and vice versa and
- Fractions word problems
a) Understanding Fractions
b) Equivalent Fractions
c) Top Heavy or Mixed Fractions
d) Finding Least Common Multiple
e) Ordering Fractions
f) Adding Fractions
g) Subtracting Fractions
h) Multiplying Fractions
i) Dividing Fractions
j) Fractions of an amount
k) Fractions, Decimals and Percentages
l) Word Problems
I would recommend you to read it till the end because we will be starting with the basics and eventually we will be covering over going over the complex problems so if you follow it along you’ll find it very easy .So let’s begin,
Understanding Fractions
Now understanding fractions
What Are Fractions ?
Now you must have seen fraction is something which is written like this :
x/y
so the number at the top is the Numerator and the number at the bottom is Denominator .
Fraction simply means that you have divided something which is a whole into some parts so
For example
- if you see one whole block and you divide it into two parts , so the block is now divided into two parts so each part in that case will be ½ ( one half)
- if you divide the same one block into four parts then each part will become ¼ (one quarter)
- if you divide one whole into five parts then each part will become 1/5 (one fifth)
- Similarly you can divide it into six seven and eight parts when you add all these spots together you will get one whole .
Now in the exam they can give you a fraction and will ask you to shade or draw the diagram of that fraction.
For Example:
- If they ask you that you need to shade let’s suppose a quarter so what you will do ?
You will divide a figure into four equal parts and just shade one part so each part will become a quarter fifth so you divide a figure it could be a square or circle anything into five equal parts and shade one.
- If they say that you shade or represent do one-fifth so what you will do ?
You divide a figure it which could be a square or circle anything into five equal parts and shade one part.
Look at this figure below that how we have divided one block in different section.
So if in the exam they give you a figure and ask you to write what fraction it is, then you will cound the number of parts which will become the denominator and the shaded part will become the numerator.
or they’ll give you fraction and ask you to shade it then you will count the total number of parts and whatever the numerator is you will just shade that part okay so I hope diagrammatic representations of fractions are clear to you .
Now let’s come to Equivalent Fractions
Equivalent Fractions
Now Equivalent Fractions is the fraction that you get by multiplying the numerator and the denominator by the same number
For Example if you have 2/4 and you multiply the numerator and denominator by 2 and that gives you 4/8, So 2/4 and 4/8 are equivalent fractions why because they both can be simplified to ½.
This is a concept of equivalent fractions which means you multiply the numerator and the denominator by the same number so the fraction that comes are equivalent .
Sample Questions on Equivalent Fractions:
a) Write three equivant fractions of
(i) 2/7 (ii) 3/4 (iii) 3/5
Answer : i)4/14 ii) 6/21 iii) 8/28
- We will multiply both the numerator and denominator of 2/7 by 2 to get 4/14
- Multiply the numerator and denominator of 2/7 by 3 to get 6/21
- Multiply the numerator and denominator of 2/7 by 4 to get 8/28
You can multiply by any number but remember that multiply both numerator and denominator by the same number.
Now other type of question :
That can be asked as they’ll give you either a numerator or denominator of a natural fraction and ask you to find the missing.
b) Fill the missing box:
i) 1/8 = ?/16
ii) ¾=18 / ?
Answer : 2 /16 , 18/24
- We will multiply both the numerator and denominator of 1/8 by 2 to get 2/16
- We will multiply both the numerator and denominator of ¾ by 6 to get 18/24
So I hope this concept is clear to you now let’s move on to the next bit next bit is very important that you need to find the HCF and the LCM.
Finding Least Common Multiple(L.C.M) And Highest Common Factor(H.C.F)
In fractions you need to understand how to find the highest common factor in order to simplify the fractions and least common multiple to add or subtract the fractions now for finding the LCM and the HCF.
Sample Questions on LCM and HCF :
Find HCF and LCM of :
24 and 36
36 and 48
12 and 30
We will take help of diagrams one circle we dedicate to one number and the other circle we did it get two other number for each of these numbers will be finding the prime factors now how we work out the prime factor for
- 24 we do 2 times so how do we work out the prime factors of 24 it is 8 times 3 so 8 times 3 is 24 now 3 is a prime factor so I have circled it then 8 is still not a prime factor so I break it again that becomes 2 times four two is a prime factor I have so called it then four it can be broken down into 2 into 2 so the factors of 24 would be 2 2 2 and then 3 .
- 36 :
36 can be broken down into 2 times 18 because it’s a prime factor .
18 is broken down into 3 & 6 .
3 & 6 will be broken down into 2 & 3
So the factors of 36 are 2 3 2 & 3
Now when you make a diagram the common factors you will write in the middle.
So 2 is common in both of them another 2 is common in both of them and 1 3 is common in both of them so 2 to 3 will write here now for 24 VLF is 1 2 which will write here and for 36 we’re left with 1 3 which will light here now this will make a when diagram now from this Venn diagram
How do you work out the Highest Common Factor the common numbers are the highest common factor so
2 2 3 will be your highest common factor which is 12 and 4 the least common multiple we multiplied this the middle and this section so this is 2 this is 12 this is 3 which gives 72 as a least common multiple
okay so I hope that is clear to you let’s take another example:
let’s start with 36 and 48 so first step is to we’ll find the factors of 36 and 48 let’s start with 36 now 36 is 2 times 18 so make the tree diagram where qu is my prime factor so I’ll Circle it 18 is still not a prime factor so we will break 18 further and 18 can be broken down into 2 times 9 and then 9 can be broken down into 3 and 3 so all the factors of my number 36 are 2 2 3 and 3
Now let’s come to the factors of 48 now 48 can be written as two times 24 24 can be written as 2 times 12 12 further broken down into 2 times 6 and 6 is broken down into 2 times 3 right so my factors of 48 are 2 2 2 2 & 3
Now let us make a when diagram so this is my rent I gram for 36 and 48 this is for my 36 and this is for my 48 now what are the factors that are common to is common in both of them so we’ll write you in the middle another 2 is common in both of them so we’ll write you in the middle and next three years common in both of them will write 3 in the middle now for 36 which is still not cancelled 1 3 & 4 48 what does not cancel 2 ant you now that makes a when diagram now
what is a highest common factor of this this middle number which is 2 times 2 which is 4 times 3 is 12 so at CF of 36 and 48 is 12 now let’s come to LCM LCM would be multiplying these three sections so this is 3 times 12 times 4 so that becomes 144
let’s go over one more example which is :
12 and 30 now let’s do 12 and 30 now for 12 and 30 we will make the prime factors so 2 times 6 to a circle 6 becomes 2 times 3 so that makes the factors of 12 the factors of 30 or 2 times 15 and 15 would be 3 times 5
Now let’s make a when diagram this is for 12 this is for 30 now what is common to is common both of them that comes in the center then three is common that comes in the center so for 12 year left with one two and four thirty we are left with one five now what will be the highest common factor highest common factor would be this Center
So highest common factor is six and least common multiple is 2 times 6 times 5 which is 60 okay so I hope this concept of HCf and LCM is clear to you
And you should be able to find the HCFand LCM of any two numbers now let’smove on to the simplifying fractions .
Simplifying Fractions
Now in order to do simplifying fraction you have to find :
The highest common factor and divide the numerator and denominator by the highest common factor .
Simplify the following :-
15/25
18/42
16/32
21/42
Answer : a) 3/5 b)3/7 c) ½ d) 1/2
- 15/ 25
What is the factor which divides both 15 and 25 it means that in which number in which times table you get both 15 and 25 the first thing that comes to my mind is 5
So I’ll divide 15 by 5 that gives me 3 /25 now divide 25 by 5 that gives me 5 so that’s a simplified fraction.
So answer is 3/5.
- 18 / 42
Can see it’s the multiple of 2 so if I divide by 2 I might get a number which is still not simplified because 2 is not the highest common factor of 18 and 42.
Now you can do that when diagram thing and work out the highest common factor of 18 and 42 and if you think that is a little bit lengthy then you can divide it by 2 together so that becomes 9/21
Which can still be divided further so you can divide this further by 3 and that will give you 3 /7
So answer is 3/7
- 16 /32
Now the highest common factor of 16 and 32 is 8 so you divide by 8 that gives you 2 /4 hang on it’s still not the highest common factor .
So further divided by 2 and you get half so the highest common factor of 16 /32 is 16 and you can directly get 1/2 .
So answer is 1 /2
- 21 /42
Divided by 3 and 7 both we should go with the highest common factor so let’s divide by 7
That gives you 3 /6 which is again not simplified will divided by 3 further .That gives you a half so the highest common factor of 21 and 42 is 21 which gives 1/2 .
So answer is 1/ 2
So I hope simplifying fractions is clear to you and you should be able to simplify any fractions given to you either you can start dividing by smaller numbers like 2 3 4 or you can work out the highest common factor and
You can divide it only once and get the simplified number now let’s see what a top-heavy or mixed fractions or improper fractions.
Top – Heavy or Mixed fractions or Improper Fraction
Top-heavy fraction means when the numerator is bigger than the denominator. So we can write it into this form .
This form is you have whole number at the side and then a fraction.
How you can convert this mixed fraction into a normal fraction ?
The rule says just multiply the whole number with the denominator and add the top number .That will give you a normal fraction .
Sample Question on Mixed Fraction :
Convert the following into normal fractions:
- 5 3/2
- 6 1/5
Answer : i) 13/2 ii) 31/5
- Multiply the whole number that is 5 with the denominator that is 2 that gives you 10 .
Add 10 with numerator that is by 3 that gives you 13.
So answer is 13/2
- Multiply the whole number that is 6 with the denominator that is 5 that gives you 30
Add 30 with numerator that is by 1 that gives you 31.
So answer is 31/5
I hope this first thing is clear to you now next is how to convert the top-heavy fraction into mixed ration .
The thing is you divide the denomnator you divide the numerator with the denominator so let’s divide 27/5 by a bus stop method
So when we divide 27/5 we get 5 times 5 which is 25 with the remainder 2
Now 5 becomes your quotient and 2 is your remainder.
So what you do is you straight make the denominator the same which is 5 the quotient it comes here that makes the whole number so 5 will be the quotient at the top we have the remainder which is 2 so it becomes 5 .
So answer is 5
So I hope it is scared to you have to put the remainder at the top. Quotient the whole number and denominated the same .
Let’s take another example :
- i) 39/6
So when we divide 39/6 we get 6 times 6 which is 36 with the remainder 3.
Now 6 becomes your quotient and 3 is your remainder.
So answer is 6
- 51 /7
So when we divide 51/7 we get 7 times 7 which is 49 with the remainder 2
Now 7 becomes your quotient and 2 is your remainder
So answer is 7
okay so you should be able to do these questions how to convert a top-heavy fractions into a mixed fraction and a mixed fraction into a normal fraction
Now when we do add subtract divide we’ll also do them with the mixed fractions as well now let’s see ordering fractions.
Ordering Fractions
Now for the ordering fractions what you have to do you need to make denominator the same with the least common multiple and then order with the numerator .
So here we’ll find the common denominator a five four nine six now what is a technique to do that right five four nine six and do the least common multiple now to do the least common multiple .
We’ll start with the smallest number which is two you cannot divide five by two so you write five as it is but you can divide 4 by 2 that gives you two you cannot divide 9 by 2 so write 9 as it is but you can divide 6 by 2 that becomes 3 now you will again you still have a multiple of 2 here so we again divided by 2/5 remains as it has 2 gets 1 9 becomes like this 3 becomes free .
So we’ll keep on doing this unless we get one and all next number you have no number that is divided by 2
so now we’ll start with 3 now you cannot divide 5 by 3 so write 5 1 but 9 can be divided that becomes 3 that becomes 1 now we can again do by 3
so that becomes 5 1 1 now my 3 of the numbers have converted into 1 only one is left which can be divided by 5 that becomes 5 1 1 1
so you multiply all these numbers that becomes the least common multiple so that is 2 times 2 is 4 times 3 is 12
12 times 3 is 36 and 36 times 5 is 180 so 180 will be the least common multiple of all of them
we will convert everything into 180 now 180 divided by 5 so what number you multiply 5 with to get 180 it’s 36 .so you multiply the numerator by 36 and the top by 36 so that becomes 36 over 180 now what number you multiply 4 with to get 180 that becomes 14 five .
so you multiply the top by 45 and the bottom is well by 45 so 45 times 3 is 135 now what you multiply 9 wait to get 180 that is 20s who you multiply the top as well so 40 over 180 and with 6 it becomes 30 so that becomes 30 now my older denominators are same I can order it so my smallest number is 30 over 180 followed by 36 over 180 followed by 40 over 180 and the last one is 135 over 180 now 30 over 180 is 1/6 36 over 180 was 1/5 40 over 180 was two nines and 135 over 180 is 3/4
So I hope this is clear to you so the thing is you just need to make a common multiple find the least common multiple make the common denominator and then order the rest ok now let us move on to adding the fractions
Adding Fraction
Now to add the fractions you need to make sure the denominator is same you just add the numerators
So let’s see one the first example:
Add the following Fractions :
- 1/5 + 3/5
- 1/7 + 2/5
- 1/4 + 2/5
- 1 1/3 + 6 2/4
- 2 1/5 + 3 1/2
- 1/5 plus 3/5 so my denominator is the same so that is 5 .
we’ll just add the numerator which is 3 plus 1 which is 4
so answer is 4/5
- 1/5 plus 3/5 so my denominator is not the same so we need to make the common denominator now 7 and 5 the least LCM of them will be 35
1/ 7 We need to convert it into 35 and 2/5 into 35 now what number you multiply to 7 way to get 35
we’ll multiply by 5 so it’ll also multiply the top by 5 and 1/7 fraction will convert into 5 /35 similarly 2/5 you need to multiply by 7 so the fraction will turn out 14/35
now my denominators are the same so I’ll just add the numerator so that becomes 19/ 35
iii) 1/4 plus 2/5 my least common multiple will turn out to be 20
So have to find the least common multiple either you can do the when diagram thing or you can do this bit 5 & 4 so it’ll start dividing by 2 that becomes 2 then again 2 and then 5.
so you will see my least common multiple is 20 so 20 will be my denominator now what number I’ll multiply forward to get 20 that is 5 so my fraction is 5 /24 2/5 it will be 8 /20 we’ll add them that will be 13 /20 okay
iv ) Mixed fraction you just add the whole number so 6 plus 1 is 7 and then you add 3 fifths and 2/4 so 3/5 and 2/4 would be you’ll make a common denominator which is 25 times 4
so that becomes 12 and 4 times 5 is 20 that is 10 so that is 22/ 20 I can simplify that like divide it by 2 number
so that is 11/10 okay similarly we’ll do the other number 3 at 2 is 5 then we’ll do 1/5 plus 1/2 now 1/5 plus 1/2 is the common denominator to be 10 and that will become 2 plus 5 which is 7/10 so the answer would be 5 7 10
So I hope the adding of fractions is clear to you whether it is a mixed fraction or a normal fraction .
Subtracting Fractions
Now let’s come to subtracting my subtracting works the same way as the addition you just need to make the denominator the same and just subtract the numerator and if the denominator is not the same you need to find the LCM that is common multiple with whichever way you know you can find the least common multiple and then subtract the numerators now
Sample question on subtraction :
Subtract the following fractions :
7/5 – 3/5
1/5 – 1/7
2/5 – 1/3
5 3/5 – 2 ¼
3 ½ – 1 1/6
- 7/5 minus 3/5 the denominator is the same that becomes five seven take away 3 is 4 so 4 over 5 is answer
- 1 /5 and 1 /7 my denominator is not the same so I’ll make the common denominator which is 35 and 5 times 7 gives me 35 so that becomes 7 over at 35 and for 1/7 that will become 5 over at 35 so my answer would be 7 take away 5 but just 2 /35
c) 2/5 minus 1/3 what would be the LCM 15 so that becomes 15 5 times 3 is 15 3 times 2 is 6 3 times 5 is 15 1 times 5 is 5 so 6 take away 5
d) 5 3/5 minus 2 1/4 you first take away the whole numbers so 5 take away 2 is 3
Then you can do 3/5 minus 1/4 now for 3/5 minus 1/4 will again take the common denominator which is 20 and this will become 12 minus 5 which is 7 over 20 so that is your answersimilarly for the other one .
e) 3 ½ minus 1 1/6 is 2 and what is 1/2 minus 1/6 for the ½ minus 1/6 will make 12 the denominator so 6 minus 2 which is 4 which is simplified to 1/3 situated see answer
So I hope now subtraction is clear to you now let’s move on to multiplication .
Multiplication Fraction
Multiplication is very simple just multiply the numerator multiply the denominator and if you want you can simplify by dividing it by the common.
Sample question on multiplication :
½ * 2/3
1/5 * 6/3
1/9 *3/5
1 1/5 * 6 ½
2 3/2 * 5 1/6
- 1/2 times 2/3 so 1 times 2 is 2 2 times 3 is 6 you can simplify that 1/3 is the answer
- 1/5 times 6/ 3 so you can cancel 3 times 1 2 so the answer would be 2/5 for this question we can cancel 3 times 1 is 3 T times 3 is 9 so the answer is 150 for these types of question you can convert them into normal fractions
- 1 times 5 is 5 plus 1 is 6 so that becomes 6 over 5 x 6 times 2 is 12 and 1 which is 13 over 2 and then we can cancel this so that is 39 over 5 is the answer for the next question
- 2 times 2 is 4 times ad 3 7 over 2 times 6 times 5 is 30 and 131 over 6 and then we can multiply so 31 times 7 is 217 divided by 12
Okay so I hope multiplying is clear to you now let’s move on to dividing.
Dividing Fraction
Dividing the rule is keep first ruction the same the divide sign can be changed into a multiplying fraction by flipping the second runs second fraction flipping means make numerator the denominator and denominator the numerator and a normal multiplication .
Sample question on Division:
1/6 Divide by 1/2
2/5 Divide by 8/25
3/7 Divide by 18/49
1 1/5 Divide by 2 1/3
3 2/5 Divide by 1 1/4
- you have 1 /6 who will keep 1/6 as it is divided we’ll put into a multiply sign and a half will flip it that becomes 2/ 1 now we can normally multiply 2 times 1 is 2 6
so the answer would be1/3
- 2/5 divided by 8 / 25 so 2 foot remains like this the right changes into multiply and eight over 25 becomes 25 over 8
we can cancel 5 times 1 is 5 5 times 5 is 25 2 times 1 is 2 2 times 4 is 8
so the answer becomes 5 / 4
- 3/7multiply flip it over try to cancel 8 to 7 times 1 7 1 6 7 over 6 is the answer for the next question
- we multiply put it into a normal fractions one time 5 is 5 + 1 is 6 6 / 5 / 7 / 3 and then we can flip the next fraction over okay so the answer would be 18 over at 35 to move on to the next one 5 times 3 is 15 at 2 is 17 divided by 5 multiplied 4 justified 4 + 1 is 5 over 4 then we will flip it to 17 over 5 multiply 4 over 5 now we will do the normal multiplication that is 25 68
okay so I hope this is clear to you how to divide the fractions now how do you find the fraction of an amount .
Fraction of an Amount
Fraction of an amount is they’ll give you a fraction and a number and you need to find the fraction of that now it follows this simple do the normal multiplication.
For example this is half of 18 so 18 times 1/2 so you put that over 1 and you do normal multiplication the answer would be 14 then it is ¼
so 1/4 times 80 you make that over 1 that gives you 20 as an answer 3/4 is 1/4 times 3 so that becomes 60 two-fifths so 80 over a 1 times 2 over 5 we can divide 16 so the answer is 32
it’s simple you just do normal multiplication so the first question :
Let’s try this:
- 2/3 of 60 so tutor time 60 over 1 we can cancel so the answer is 40 pounds a quarter of 24
- So a quarter times 24 over a 1 so that becomes 6 grams
- 3/5 of 80 fifths of 80 pounds so we do the same thing 3 over 5 times an 80 over 1 we’ll try to simplify it here so that becomes 16 times 3 which is 48 pounds
okay so I hope this is clear to you now let’s move on to the fraction decimal and percentage .
Fraction Decimal And Percentage
Now this is a very important concept you should know how to convert each of them so fractions to percentages.
If you have a fraction you need to convert it into percentage you multiply by 100 on the other hand if a percentage is given huge divided by 100 and that gives you a fraction for decimal to percent age you multiply by 100 for percentage to decimally divided by a hundred and for fraction to decimal .
You just divide the numerator by denominator and for decimals to fractions you just convert the decimal by making it over ten hundred thousand depending on after how many places it’s a decimal point.
Now let’s take an example a quarter is given to you which is a fraction to convert it into a percentage you multiply by 100 so 1/4 times 100 we’ll do a normal multiplication thing that becomes 25 percent not to convert 25 percent into a decimal that becomes 25 over a hundred now 25 over a hundred converts into 0.25
So that gives you a quarter into a decimal and into a percentage now let’s take an example can were these fractions:
Convert these Fractions to Decimals:
3/4
25/100
- 3/4 dividing normally so 4 with 3 doesn’t go so that becomes 0 then you have this that becomes 28 so that becomes 0.75 25 over a hundred becomes 0.25 now convert these decimals into percentages.
The formula is multiplied by 100 zero point 5 divided by 100 is 50% and 0.8 4 multiplied by 100 is 84% now 15% you fraction percent is over a hundred that becomes 15 over 100 and if you want you can simplify that so we can divide it by five so that gives 3 over 20
- 25% is 25 over a hundred which can be written as .
So I hope this is clear to you now let’s see fraction word problems.
Fraction Word Problems
The first question is mary has 40 kgs of cake and she gave 1/4 a call to Danny and 1/5 to Annie find the amount they have now ?
Now what is the amount given to Danny that is a quarter of 40 kg so a quarter of 40 kg is a quarter times 40 over a 1 that becomes 10 kg so Danny has 10 kg
How much Annie has a knee has 1/5 so 1/5 of 40 which is 1/5 times 40 over 1 which is 8 kg so total 18 kg
Mary will have 40 take away 18 which will be how much that will be 22 kgs .
The Price of the T- Shirt is 60 pounds . There is 2/3 off on the price . What is sale price now ?
So 2/3 sixty is two times three times five sixty over a 1 so that is forty pounds so how much is your forty pound so what will be the sale price now sixty take away forty which is twenty pounds to move on to the next question
There are 600 student in the Bus 200 are boys 2/3 of the girls are in blue shirt and 1/ 4 of the boys are in the blue shirt you need to calculate the number of boys and girls.
The number of boys is 200 and the number of girls are 400 because the total is given to you as 600 .
How many boys are there in the blue shirt that is a quarter of 200 so a quarter of 200 would be a four multiplied by 200 over one so that is 50 which means that 50 boys are in the blue shirt.
Now for the girls it is 2/3 so 400 two thirds of 400 is 400 divided by two shirt
Now this will not give you a whole number right so this is 800 /3 .
Not generally in the exam you will get that number that can be easily divided by and you get a whole number
so we can make this two fourth of the goals okay so we’ll make you foot of the girls that gives how much that gives 200 so 200 of the girls and fifty of the boys are in blue.
There are 60 counters is in the bag. Jamies removed 3/5 of the counters. Find how many are left ?
It’s a 16 divided by 3/5 that is 36.
So 36 counters are removed so how many are left now 60 over at 3/6 which is 24 24 counters I left now .
okay now let’s move on to the last concept ratio fraction problems.
Ratio Fraction Problem
Now if the ratio is given to you what do you have to do is add the two ratios that will become the denominator so:
The ration of blue to red counter is a bag is 2 :5 . Find the fractions of blue counter and the fraction of red counter.
If 2 is 2 5 is blue is to red it means that 2 out of 7 or blue and red is total number of part is 7 and the red is 5 so 5 7
okay now next question
In a bag 2/3 of the sweets are red so red becomes 2/3 so how many would be red and blue sweets ?
One takeaway 2/3 which will give 1/3 so what will be the ratio the ratio is 2 : 1
okay so I hope this fraction ratio problems is also clear to you and that’s all you need to know in the fraction table you’ve have covered everything that you need to know .
- Fraction pdf Question 1
- Fraction pdf Answer 1
- Fraction pdf question 2
- Fraction pdf Answer 2
- Fraction pdf Question 3
- Fraction pdf Answer 3
- Fraction pdf Question 4
- Fraction pdf Answer 4
- Fraction pdf Question 5
- Fraction pdf Answer 5
- Fraction pdf Question 6
- Fraction pdf Answer 6
- Fraction pdf Question 7
- Fraction pdf Answer 7
