AP State Syllabus AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 3 Textbook Questions and Answers.

## AP State Syllabus 7th Class Maths Solutions 2nd Lesson Fractions, Decimals and Rational Numbers Exercise 3

Question 1.

Find each of the following products.

(i) \(\frac{5}{6} \times \frac{7}{11}\)

(ii) \(6 \times \frac{1}{5}\)

(iii) \(2 \frac{1}{3} \times 3 \frac{1}{5}\)

Solution:

Question 2.

Multiply and reduce to lowest form.

(i) \(\frac{2}{3} \times 5 \frac{1}{5}\)

(ii) \(\frac{2}{7} \times \frac{1}{3}\)

(iii) \(\frac{9}{3} \times \frac{5}{5}\)

Solution:

Question 3.

Which one is greater’?

(i) \(\frac{2}{5} \text { of } \frac{4}{7} \text { or } \frac{3}{4} \text { of } \frac{1}{2}\)

(ii) \(\frac{1}{2} \text { of } \frac{4}{7} \text { or } \frac{2}{3} \text { of } \frac{3}{7}\)

Solution:

(i) \(\frac{2}{5} \text { of } \frac{4}{7} \text { or } \frac{3}{4} \text { of } \frac{1}{2}\)

(ii) \(\frac{1}{2} \text { of } \frac{4}{7} \text { or } \frac{2}{3} \text { of } \frac{3}{7}\)

Question 4.

Rehana works 2\(\frac{1}{2}\) hours each day on her embroidery. She completes the work in 7 days.

How many hours did she take to complete her work?

Solution:

Number of hours Rehana worked each day = 2\(\frac{1}{2}\) hrs

Number of days Rehana worked on embroidery = 7 days

Total time worked = 2½ x 7 = \(\frac{5}{2}\) x 7 = \(\frac{5 \times 7}{2}=\frac{35}{2}\) = = 17\(\frac{1}{2}\) hrs.

Question 5.

A truck runs 8 km using 1 litre of petrol. How much distance will it cover using 10\(\frac{2}{3}\) litres of petrol?

Solution:

bistance covered wIth 1 litre of petrol 8 km

∴ Distance covered for 10\(\frac{2}{3}\) litres petrol = 10\(\frac{2}{3}\) x 8

= \(\frac{32}{3} \times 8=\frac{32 \times 8}{3}=\frac{256}{3}=85 \frac{1}{3}\)km.

Question 6.

Raja walks 1\(\frac{1}{2}\) meters in 1 second. How much distance will he walk in 15 minutes?

Solution:

Distance covered by Raja in 1 second = 1\(\frac{1}{2}\) m

Distance covered by Raja in 15 minutes 15 x 60 x 1\(\frac{1}{2}\)

= 900 x \(\frac{3}{2}\) = \(\frac{900\times 3}{21}\) =1350 m

Question 7.

Provide the number in the box to make the statement true.