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) [latex]\frac{5}{6} \times \frac{7}{11}[/latex]
(ii) [latex]6 \times \frac{1}{5}[/latex]
(iii) [latex]2 \frac{1}{3} \times 3 \frac{1}{5}[/latex]
Solution:
Question 2.
Multiply and reduce to lowest form.
(i) [latex]\frac{2}{3} \times 5 \frac{1}{5}[/latex]
(ii) [latex]\frac{2}{7} \times \frac{1}{3}[/latex]
(iii) [latex]\frac{9}{3} \times \frac{5}{5}[/latex]
Solution:
Question 3.
Which one is greater’?
(i) [latex]\frac{2}{5} \text { of } \frac{4}{7} \text { or } \frac{3}{4} \text { of } \frac{1}{2}[/latex]
(ii) [latex]\frac{1}{2} \text { of } \frac{4}{7} \text { or } \frac{2}{3} \text { of } \frac{3}{7}[/latex]
Solution:
(i) [latex]\frac{2}{5} \text { of } \frac{4}{7} \text { or } \frac{3}{4} \text { of } \frac{1}{2}[/latex]
(ii) [latex]\frac{1}{2} \text { of } \frac{4}{7} \text { or } \frac{2}{3} \text { of } \frac{3}{7}[/latex]
Question 4.
Rehana works 2[latex]\frac{1}{2}[/latex] 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[latex]\frac{1}{2}[/latex] hrs
Number of days Rehana worked on embroidery = 7 days
Total time worked = 2½ x 7 = [latex]\frac{5}{2}[/latex] x 7 = [latex]\frac{5 \times 7}{2}=\frac{35}{2}[/latex] = = 17[latex]\frac{1}{2}[/latex] hrs.
Question 5.
A truck runs 8 km using 1 litre of petrol. How much distance will it cover using 10[latex]\frac{2}{3}[/latex] litres of petrol?
Solution:
bistance covered wIth 1 litre of petrol 8 km
∴ Distance covered for 10[latex]\frac{2}{3}[/latex] litres petrol = 10[latex]\frac{2}{3}[/latex] x 8
= [latex]\frac{32}{3} \times 8=\frac{32 \times 8}{3}=\frac{256}{3}=85 \frac{1}{3}[/latex]km.
Question 6.
Raja walks 1[latex]\frac{1}{2}[/latex] meters in 1 second. How much distance will he walk in 15 minutes?
Solution:
Distance covered by Raja in 1 second = 1[latex]\frac{1}{2}[/latex] m
Distance covered by Raja in 15 minutes 15 x 60 x 1[latex]\frac{1}{2}[/latex]
= 900 x [latex]\frac{3}{2}[/latex] = [latex]\frac{900\times 3}{21}[/latex] =1350 m
Question 7.
Provide the number in the box 
to make the statement true.
