# NCERT solution class 7 chapter 2 Fractions and Decimals 2.3 mathematics

## EXERCISE 2.3

#### Question 1:

Find:

(i) of (a)  (b)  (c)

(ii) of (a)  (b)  (c)

(i) (a)

(b)

(c)

(ii) (a)

(b)

(c)

#### Question 2:

Multiply and reduce to lowest form (if possible):

(i)  (ii)  (iii)

(iv)  (v)  (vi)

(vii)

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

#### Question 3:

Multiply the following fractions:

(i)  (ii)  (iii)

(iv)  (v)  (vi)

(vii)

(i)

This is an improper fraction and it can be written as a mixed fraction as .

(ii)

This is an improper fraction and it can be written as a mixed fraction as .

(iii)

This is a whole number.

(iv)

This is an improper fraction and it can be written as a mixed fraction as .

(v)

This is an improper fraction and it can be written as a mixed fraction as .

(vi)

This is an improper fraction and it can be written as a mixed fraction as .

(vii)

This is an improper fraction and it can be written as a mixed fraction as .

#### Question 4:

Which is greater:

(i)  of  orof

(ii)  of orof

(i)

Converting these fractions into like fractions,

Therefore, of is greater.

(ii)

Therefore,  of  is greater.

#### Question 5:

Saili plants 4 saplings, in a row, in her garden. The distance between two adjacent saplings is m. Find the distance between the first and the last sapling.

From the figure, it can be observed that gaps between 1st and last sapling = 3

Length of 1 gap =

Therefore, distance between I and IV sapling =

#### Question 6:

Lipika reads a book for hours everyday. She reads the entire book in 6 days. How many hours in all were required by her to read the book?

Number of hours Lipika reads the book per day =

Number of days = 6

Total number of hours required by her to read the book =

#### Question 7:

A car runs 16 km using 1 litre of petrol. How much distance will it cover using litres of petrol.

Number of kms a car can run per litre petrol = 16 km

Quantity of petrol =

Number of kms a car can run for litre petrol =  = 44 km

It will cover 44 km distance by using litres of petrol.

#### Question 8:

(a) (i) Provide the number in the box , such that .

(ii) The simplest form of the number obtained in  is _______.

(b) (i) Provide the number in the box , such that ?

(ii) The simplest form of the number obtained in  is _______.

(a) (i) As ,

Therefore, the number in the box , such that  is

.

(ii) The simplest form of  is .

(b) (i) As ,

Therefore, the number in the box , such that  is

.

(ii) As  cannot be further simplified, therefore, its simplest form is

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