# PSEB 7th Class Maths Solutions Chapter 2 Fractions and Decimals Ex 2.7

Punjab State Board PSEB 7th Class Maths Book Solutions Chapter 2 Fractions and Decimals Ex 2.7 Textbook Exercise Questions and Answers.

## PSEB Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.7

1. Solve, dividing decimal number by 10, 100 or 1000 in the following :

Question (i).
2.7 ÷ 10
2.7 ÷ 10 = $$\frac{27}{10} \times \frac{1}{10}$$
= $$\frac{27}{100}$$
= 0.27

Question (ii).
3.35 ÷ 10
3.35 ÷ 10 = $$\frac{335}{100} \times \frac{1}{10}$$
= $$\frac {335}{1000}$$
= 0.335

Question (iii).
0.15 ÷ 10
0.15 ÷ 10 = $$\frac{15}{100} \times \frac{1}{10}$$
= $$\frac {15}{1000}$$
= 0.015

Question (iv).
32.7 ÷ 10
32.7 ÷ 10 = $$\frac{327}{10} \times \frac{1}{10}$$
= $$\frac {327}{100}$$

Question (v).
5.72 ÷ 100
5.72 ÷ 100 = $$\frac{572}{100} \times \frac{1}{100}$$
= $$\frac {572}{10000}$$
= 0.0572

Question (vi).
23.75 ÷ 100
23.75 ÷ 100 = $$\frac{2375}{100} \times \frac{1}{100}$$
= $$\frac {2375}{10000}$$
= 0.2375

Question (vii).
532.73 ÷ 100
532.73 ÷ 100 = $$\frac{53273}{100} \times \frac{1}{100}$$
= $$\frac {53273}{10000}$$
= 5.3273

Question (viii).
1.321 ÷ 100
1.321 ÷ 100 = $$\frac{1321}{1000} \times \frac{1}{100}$$
= $$\frac {1321}{10000}$$
= 0.01321

Question (ix).
2.5 ÷ 1000
2.5 ÷ 1000 = $$\frac{25}{10} \times \frac{1}{1000}$$
= $$\frac {25}{10000}$$
= 0.0025

Question (x).
53.83 ÷ 1000
53.83 ÷ 1000 = $$\frac{5383}{100} \times \frac{1}{1000}$$
= $$\frac {5383}{100000}$$
= 0.05383

Question (xi).
217.35 ÷ 1000
217.35 ÷ 1000 = $$\frac{21735}{100} \times \frac{1}{1000}$$
= $$\frac {21735}{100000}$$
= 0.21735

Question (xii).
0.2 ÷ 1000
0.2 ÷ 1000 = $$\frac{2}{10} \times \frac{1}{1000}$$
= $$\frac {2}{10000}$$
= 0.0002

2. Solve, dividing decimal number by whole number.

Question (i).
7.5 ÷ 5
7.5 ÷ 5 = $$\frac{75}{10} \times \frac{1}{5}$$
= $$\frac {15}{10}$$
= 1.5

Question (ii).
16.9 ÷ 13
16.9 ÷ 13 = $$\frac{169}{10} \times \frac{1}{13}$$
= $$\frac {13}{10}$$
= 1.3

Question (iii).
65.4 ÷ 6
65.4 ÷ 6 = $$\frac{654}{10} \times \frac{1}{6}$$
= $$\frac {109}{10}$$
= 10.9

Question (iv).
0.121 ÷ 11
0.121 ÷ 11 = $$\frac{121}{1000} \times \frac{1}{11}$$
= $$\frac {11}{1000}$$
= 0.011

Question (v).
11.84 ÷ 4
11.84 ÷ 4 = $$\frac{1184}{100} \times \frac{1}{4}$$
= $$\frac {296}{100}$$
= 2.96

Question (vi).
47.6 ÷ 7
47.6 ÷ 7 = $$\frac{476}{10} \times \frac{1}{7}$$
= $$\frac {68}{10}$$
= 6.8

3. Solve, dividing the decimal number by decimal number

Question (i).
3.25 ÷ 0.5
3.25 ÷ 0.5 = $$\frac{325}{100} \div \frac{5}{10}$$
= $$\frac{325}{100} \times \frac{10}{5}$$
= $$\frac {65}{10}$$
= 6.5

Question (ii).
5.4 ÷ 1.2
5.4 ÷ 1.2 = $$\frac{54}{10} \div \frac{12}{10}$$
= $$\frac{54}{10} \times \frac{10}{12}$$
= $$\frac {9}{2}$$
= 4.5

Question (iii).
26.32 ÷ 3.5
26.32 ÷ 3.5 = $$\frac{2632}{100} \div \frac{35}{10}$$
= $$\frac{2632}{100} \times \frac{10}{35}$$
= $$\frac {752}{100}$$
= 7.52

Question (iv).
2.73 ÷ 13
2.73 ÷ 13 = $$\frac{273}{100} \times \frac{10}{13}$$
= $$\frac {21}{10}$$
= 2.1

Question (v).
12.321 ÷ 11.1
12.321 ÷ 11.1 = $$\frac{12321}{1000} \div \frac{111}{10}$$
= $$\frac{12321}{1000} \times \frac{10}{111}$$
= $$\frac {111}{100}$$
= 1.11

Question (vi).
0.0018 ÷ 0.15
0.0018 ÷ 0.15 = $$\frac{18}{10000} \div \frac{15}{100}$$
= $$\frac{18}{10000} \times \frac{100}{15}$$
= $$\frac {12}{1000}$$
= 0.012

4. 25 steel chairs were purchased by a school for ₹ 11,883.75. Find the cost of one steel chair.
Cost Price of 25 steel chairs = ₹ 11,883.75
Cost Price of 1 steel chair = ₹ 11,883.75 ÷ 15
= ₹ $$\frac{11,88375}{100} \times \frac{1}{15}$$
= ₹ $$\frac {47535}{100}$$
= ₹ 475.35

5. A car covers a distance of 276.75 km in 4.5 hours. What is the average speed of the car ?
Total Distance covered = 276.75 km
Time taken = 4.5 hours
Average speed of car = $$\frac{Distance}{Time}$$
= $$\frac{276.75}{4.5}$$
= $$\frac{27675}{100} \times \frac{10}{45}$$
= $$\frac {615}{10}$$
= 61.5 km/hr.

6. Multiple Choice Questions :

Question (i).
27.5 ÷ 10 = ?
(a) 275
(b) 0.275
(c) 2.75
(d) None of these.
(c) 2.75

Question (ii).
The value of 1.5 ÷ 3 is :
(a) 5
(b) 0.05
(c) 0.5
(d) 4.5.
(c) 0.5

Question (iii).
The average of decimal number 1.1, 2.1 and 3.1 is :
(a) 2.5
(b) 1.1
(c) 2.1
(d) 6.3.