**Download Fractions Worksheets Grade 5**

### Fractions Worksheets Grade 5

**Fractions Worksheets Grade 5**

Q.1) Compare and

a) <

b) >

Q.2) Convert into Mixed Fraction.

a)

b)

c)

Q.3) Convert the Fraction into an Improper Fraction

a)

b)

c)

Q.4) Solve ÷

a)

b)

c)

Q.5) Find three Fractions Equivalent to ?

a) , ,

b) , ,

c) , ,

Q.6) If = , Then the value of y is ___

a) 40

b) 43

c) 36

Q.7) Find : x

a)

b)

c)

Q.8) Write down the Numerator and Denominator of the Fraction:

a) Numerator 14 , Denominator 11

b) Numerator 11 , Denominator 14

Q.9) In a class of 60 children, are boys. How many boys and girls are there in the class?

a) Number of boys = 45 , Number of girls = 15

b) Number of boys = 50 , Number of girls = 10

c) Number of boys = 55 , Number of girls = 5

Q.10) A jar is full. The Fraction of the jar that is empty is ?

a)

b)

c)

Q.11) Find the difference of – and reduce into its lowest term.

a)

b)

Q.12) Find the difference of and and reduce to its lowest term.

a)

b)

c)

Q.13) Find the sum of and and reduce to its lowest term.

a)

b)

c)

Q.14) Find the sum of and and reduce to its lowest term.

a)

b)

c)

### Fractions Worksheets Grade 5 Explanations

**Q.1) Explanation – Fractions Worksheets Grade 5**

On Cross Multiplication and

We multiply 11 x 3 = 33

Similarly, we multiply 3 x 5 = 15

The Fraction whose Numerator has higher value, after multiplication, is greater Fraction

Since, 33 > 15

Hence, >

**Correct Answer – b) > **

**Q.2) Explanation – Fractions Worksheets Grade 5**

On dividing 59 by 10

We get, Quotient = 5

Remainder = 9

For a mixed Fraction we have to write Quotient +

So, the mixed Fraction is 5 + =

**Correct Answer – c) **

**Q.3) Explanation – Fractions Worksheets Grade 5**

A combination of Whole Number and a Proper Fraction is called a Mixed Fraction

Here, Mixed Fraction =

Whole Number Part = 3

Numerator = 2

Denominator = 3

Step 1 : Multiply the Whole Number Part and Denominator of the Mixed Fraction

3 x 3 = 9

Step 2 : Add the Numerator to the product obtained in Step 1

2 + 9 = 11

Write the sum as the numerator and denominator would remain the same , as in the Mixed Fraction.

Hence, =

**Correct Answer – a) **

**Q.4) Explanation – Fractions Worksheets Grade 5**

÷

In order to Divide one fraction by another, we can multiply the first Fraction with the reciprocal of the second Fraction

Reciprocal of second Fraction is

or we can say x

Now, on simplifying it

= x

Multiply all the Numerator together and all the Denominator together.

=

**Correct Answer – c) **

**Q.5) Explanation – Fractions Worksheets Grade 5**

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)

Fraction 1 : =

Fraction 2 : =

Fraction 3 : =

Hence, three Equivalent Fractions of are , ,

**Correct Answer – c) , , **

**Q.6) Explanation – Fractions Worksheets Grade 5**

Given : =

On Cross multiplication, we get

20 x 46 = y x 23

920 = 23y

= y

40 = y

Or, y = 40

Hence, the missing number is = 40

**Correct Answer – a) 40**

**Q.7) Explanation – Fractions Worksheets Grade 5**

x

To reduce the fraction into its simplest form, we take the HCF of Numerator and Denominator i.e

x

15 and 60 are divided by the common factor 15 and the Numerator 21 and Denominator 7 are divided by common factor 7 .

The remaining Numerator 3 and the Denominator 4 do not have a common factor and cannot be simplified. so, multiply all the Numerator together and all the Denominator together.

We get,

**Correct Answer – b) **

**Q.8) Explanation – Fractions Worksheets Grade 5**

Numerator is the Upper Number , in the Fraction

So, the Numerator of is 14

Denominator is the bottom number in the Fraction

So, the Denominator of is 11

**Correct Answer – a) Numerator 14 , Denominator 11**

**Q.9) Explanation – Fractions Worksheets Grade 5**

Total number of children in the class = 60

It is given that,

of Total number of children in the class = Number of boys

Number of boys = x 60

On simplifying it

Number of boys = x 10

Number of boys = 50

Number of girls = Total number of children in the class – Number of boys

Number of girls = 60 – 50

Number of girls = 10

**Correct Answer – b) Number of boys = 50 , Number of girls = 10**

**Q.10) Explanation – Fractions Worksheets Grade 5**

Part of jar which is full =

Since, we don’t know the total part , we assume it to be ( in Fraction )

The part of the bucket that is empty = Total part – Filled part

= –

Taking the LCM of 1 and 15 = 15

=

=

=

Hence, the empty part of the bucket =

**Correct Answer – a) **

**Q.11) Explanation – Fractions Worksheets Grade 5**

Difference of Like Fraction =

=

=

So, the difference of and is

**Correct Answer – a) **

**Q.12) Explanation – **

To find the difference of Unlike Fraction

Firstly, we have to change the Unlike Fraction into equivalent Like Fraction, and then subtract the two equivalent Like Fraction

Take LCM of 6 and 12 is 12

Converting 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

=

Now – =

Hence, the answer is

**Correct Answer – a) **

**Q.13) Explanation – Fractions Worksheets Grade 5**

Sum of Like Fraction =

=

=

Hence, the sum of and is

Simplifying further,

HCF of 9 and 15 is 3

Dividing both Numerator and Denominator by their HCF i.e,

=

Hence, the sum of and =

**Correct Answer – c) **

**Q.14) Explanation – Fractions Worksheets Grade 5**

In order to add Unlike Fraction

Firstly, we have to change the Unlike Fraction, into equivalent Like Fractions, and then add the two equivalent Like Fractions

Take LCM of 3 and 2 is 6

Converting the Unlike Fraction into Equivalent Like Fraction

We have to multiply , both the numerator and denominator of by 2

=

Similarly, we have to multiply , both the numerator and denominator of by 3

=

Now + =

Hence, the sum of and is

**Correct Answer – a) **