## MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.3

Question 1.

Solution:

Question 2.

Multiply and reduce to lowest form (if possible):

Solution:

Question 3.

Multiply the following fractions:

Solution:

Question 4.

Solution:

Converting these fractions into like fractions, we obtain

Question 5.

Saili plants 4 saplings, in a row, in her garden. The distance between two adjacent saplings is \(\frac{3}{4}\) m. Find the distance between the first and the last sapling.

Solution:

From the figure, it can be observed that gap between first and last sapling = 3 × Length of gap 1

Therefore, distance between first and last

Question 6.

Lipika reads a book for \(1 \frac{3}{4}\) hours everyday. She reads the entire book in 6 days. How many hours in all were required by her to read the book?

Solution:

Time taken by Lipika to read the book per day = \(1 \frac{3}{4}\) hours = \(\frac{7}{4}\) hours

Number of days = 6

Total time taken by her to read the entire book = \(\frac{7}{4}\) × 6 hours = \(\frac{21}{2}\) hours

= \(=10 \frac{1}{2}\)hours

Question 7.

A car runs 16 km using 1 litre of petrol. How much distance will it cover using \(2 \frac{3}{4}\) litres of petrol?

Solution:

A car can run per litre of petrol = 16 km

Quantity of petrol = \(2 \frac{3}{4}\) litres = \(\frac{11}{4}\) litres

So, a car can run for \(\frac{11}{4}\) litres of petrol

Question 8.

Solution: