**Please check Solutions of Fractions Class 6 Worksheet at the end of the questions.**

**Download Fractions Class 6 Worksheet**

1. Is is a proper fraction?

a) Yes

b) No

2. Is is a improper fraction?

a) Yes

b) No

3. Are the following fractions are like fractions or unlike fractions?

, and

a) Like Fractions

b) Unlike Fractions

4. Convert into its simplest form?

a)

b)

c)

d)

5. Convert the fraction into an improper fraction?

a)

b)

c)

d)

6. Convert into mixed fraction?

a) 2

b) 3

c) 2

d) 3

7. What fraction of a day is 7 hours ?

a)

b)

c)

d)

8. Find: of 2

a)

b)

c)

d)

9. Are and equivalent fraction ?

a) Yes

b) No

10. Find the four fractions equivalent to

a) , , ,

b) , , ,

c) , , ,

11. Write a fraction equivalent to with numerator 25.

a)

b)

c)

d)

12. Find a fraction equivalent to with denominator 35 ?

a)

b)

c)

d)

13. Fill the missing number to make two Fractions equivalent ?

=

a) 3

b) 5

14. Compare the fractions:

and

a) >

b) <

c) =

15. Of and ,which is greater and by how much?

a) < by

b) > by

c) < by

d) > by

16. Convert the fraction as like fraction and

a) and

b) and

c) and

d) and

17. Find the sum : +

a)

b)

c)

d)

18. Find the sum : and

a)

b)

c)

d)

19. Find the sum of 1 + 4

a) 7

b) 4

c) 5

d) 6

20. Find the difference : –

a)

b)

c)

d)

21. Find the difference : and

a)

b)

c)

d)

### Fractions Class 6 Worksheet Solution

**Fractions Class 6 Worksheet – Solution 1**

Proper fraction is a fraction which represents the part of whole number. In proper fraction numerator is always less than its denominator.

In generalise form for any two integer ‘a’ and ‘b’

a/b where (a < b)

i.e Numerator < Denominator

Numerator = 7

Denominator = 5

Here 7 > 5

i.e, Numerator > Denominator

Hence, is not a proper fraction

**Correct Answer – b) No**

**Fractions Class 6 Worksheet – Solution 2**

Improper fractions are the combination of whole number and a proper fraction. Improper fraction is opposite of proper fraction, since in improper fraction numerator is greater than its denominator

In generalise form for any two integer ‘a’ and ‘b’

a/b where (a > b)

i.e Numerator > Denominator

Numerator = 17

Denominator = 9

Here, 17 > 9

i.e, Numerator > Denominator

Hence, is an improper fraction

**Correct Answer – a) Yes**

**Fractions Class 6 Worksheet – Solution 3**

In case of Like Fraction, the denominator of the fractions are the same.

While, In case of Unlike Fraction denominator of the fractions are not same.

In the present case, the given fractions are

, and

Since the Denominator in the present cases are 5 , 6 , 7 which are not same. So, the given fractions are Unlike Fractions

**Correct Answer – b) No**

**Fractions Class 6 Worksheet – Solution 4**

Taking HCF of 70 and 30 is 10

Divide numerator and denominator by their HCF i.e, 10

=

**Correct Answer – d) **

**Fractions Class 6 Worksheet – Solution 5**

3 “means” Quotient

So, to change mixed fraction into an improper fraction

=

=

=

**Correct Answer – b) **

**Fractions Class 6 Worksheet – Solution 6**

On dividing 5 by 2

We get Quotient = 2

Remainder = 1

For a mixed fraction we have to write:

So, the mixed fraction is 2 + = 2

**Correct Answer – c) 2**

**Fractions Class 6 Worksheet – Solution 7**

As, we know that 1 day = 24 hours

So, the required fraction is =

**Correct Answer – c) **

**Fractions Class 6 Worksheet – Solution 8**

In this question ‘of’ means to multiply

When any fractions either proper or improper are multiplied with a whole number, the numerators are multiplied with whole number and the denominator will remains the same.

So, x 2

= x 2

=

So, the answer is

**Correct Answer – c) **

**Solution 9**

Cross Multiplying and

2 x 25 = 50

and

10 x 5 = 50

Since,

2 x 25 = 10 x 5

Hence, Value of =on cross multiplication, they are equivalent fraction.

**Correct Answer – a) Yes**

**Fractions Class 6 Worksheet – Solution 10**

To get a fraction equivalent to a given fraction, we multiply or divide the numerator and the denominator of the given fraction by the same number (except 0 or 1)

=

=

=

=

Hence, the four equivalent fractions of are , , ,

**Correct Answer – c) , , , **

**Fractions Class 6 Worksheet – Solution 11**

Numerator of = 5

Numerator 5 has changed to 25

In other words it has become or 5 times of numerator of first number

So in order to obtain equivalent fraction Denominator of first fraction has to be multiplied with 5 to write an equivalent fraction

So, the denominator of new equivalent fraction = 2 x 5 = 10

Hence, the new equivalent fraction is

**Correct Answer – b) **

**Fractions Class 6 Worksheet – Solution 12**

Denominator of = 35

Denominator 7 has changed to 35

In other words it has become or 5 times of denominator of first number

So in order to obtain equivalent fraction Numerator of first fraction has to be multiplied with 5 to write an equivalent fraction

So, the numerator of new equivalent fraction = 6 x 5

= 30

Hence, the new equivalent fraction is

**Correct Answer – c) **

**Fractions Class 6 Worksheet – Solution 13**

Denominator of = 5

Denominator 5 has changed to 15

In other words it has become or 3 times of denominator of first number

So in order to obtain the Missing number, Numerator of first fraction has to be multiplied with 3

Hence, the missing number is 1 x 3 = 3

**Correct Answer – a) 3**

**Fractions Class 6 Worksheet – Solution 14**

On Cross multiplying and

We multiply 6 x 9 = 54

Similarly, we multiply 7 x 5 = 35

Since, 54 > 35

Hence,

>

**Correct Answer – a) > **

**Fractions Class 6 Worksheet – Solution 15**

Let us compare and

5 x 5 = 25 and 7 x 6 = 42

Clearly, 25 < 42

Since, <

Difference = –

To find the difference of unlike fraction

Firstly, we have to change the unlike fraction into equivalent like fraction and then subtract

Take LCM of 5 and 7 = 35

To change the unlike fraction into equivalent like fraction

We have to multiply by 7

=

We have to multiply by 5

=

Since, – =

Hence, < by

**Correct Answer – a) < by **

**Fractions Class 6 Worksheet – Solution 16**

Step1: Find LCM of the denominators.

LCM of 3 and 4 is 12

Step 2: Divide the LCM by the denominators of the given fractions

=

Step 3: Multiply the quotient by the numerator and keep denominator equal to the LCM. i.e.

=

=

So, and are like fractions

**Correct Answer – b) and **

**Fractions Class 6 Worksheet – Solution 17**

Sum of like Fraction =

=

=

Hence, the sum of and is

**Correct Answer – a) **

**Fractions Class 6 Worksheet – Solution 18**

To add unlike fraction

Firstly, we have to convert the unlike fraction into equivalent like fraction and then add

Take LCM of 5 and 7 is 35

To convert the unlike fraction into equivalent like fraction

We have to multiply by 7

=

We have to multiply by 5

=

Since, + =

Hence, the sum of and =

**Correct Answer – c) **

**Fractions Class 6 Worksheet – Solution 19**

1 + 4

= +

= +

= +

Take LCM of 7 and 3 which is equal to 21

To convert the unlike fraction into equivalent like fraction

We have to multiply by 3

=

We have to multiply by 7

=

Since, + = = 5

Hence, the sum is 5

**Correct Answer – c) 5**

**Fractions Class 6 Worksheet – Solution 20**

Difference of like fraction =

=

=

So, the difference of and is

**Correct Answer – d) **

**Fractions Class 6 Worksheet – Solution 21**

To find the difference of unlike fraction

Firstly, we have to change the unlike fraction into equivalent like fraction and then subtract

Take LCM of 6 and 12 is 12

To change the unlike fraction into equivalent like fraction

We have to multiply numerator and denominator of by 2

=

We have to multiply numerator and denominator of by 1

=

Since, – =

So, the answer is

**Correct Answer – b) **

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