## EXERCISE 2.3

#### Page No 41:

#### Question 1:

Find:

(i) of (a) (b) (c)

(ii) of (a) (b) (c)

#### Answer:

(i) (a)

(b)

(c)

(ii) (a)

(b)

(c)

#### Page No 42:

#### Question 2:

Multiply and reduce to lowest form (if possible):

(i) (ii) (iii)

(iv) (v) (vi)

(vii)

#### Answer:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

#### Question 3:

Multiply the following fractions:

(i) (ii) (iii)

(iv) (v) (vi)

(vii)

#### Answer:

(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

#### Answer:

(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.

#### Answer:

From the figure, it can be observed that gaps between 1^{st} 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?

#### Answer:

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.

#### Answer:

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 _______.

#### Answer:

(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