Punjab State Board PSEB 7th Class Maths Book Solutions Chapter 2 Fractions and Decimals Ex 2.2 Textbook Exercise Questions and Answers.

## PSEB Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.2

1. Match the following :

Answer:

(a) (ii),

(b) (iii),

(c) (iv),

(d) (i).

2. Multiply whole number to a fraction and reduce it to the lowest form. Also convert into a mixed fraction :

Question (i).

4 × \(\frac {1}{3}\)

Answer:

4 × \(\frac {1}{3}\) = \(\frac{4 \times 1}{3}\)

= \(\frac {4}{3}\)

= 1\(\frac {1}{3}\)

Question (ii).

11 × \(\frac {4}{7}\)

Answer:

11 × \(\frac {4}{7}\) = \(\frac{11 \times 4}{7}\)

= \(\frac {44}{7}\)

= 6\(\frac {2}{7}\)

Question (iii).

\(\frac {3}{4}\) × 6

Answer:

\(\frac {3}{4}\) × 6 = \(\frac{3 \times 6}{4}\)

= \(\frac {9}{2}\)

= 4\(\frac {1}{2}\)

Question (iv).

\(\frac {9}{7}\) × 5

Answer:

\(\frac {9}{7}\) × 5 = \(\frac {45}{7}\)

= 6\(\frac {3}{7}\)

Question (v).

2\(\frac {5}{6}\) × 4

Answer:

2\(\frac {5}{6}\) × 4 = \(\frac{17}{6} \times 4\)

= \(\frac{17 \times 4}{6}\)

= \(\frac{17 \times 2}{3}\)

= \(\frac {34}{3}\)

= 11\(\frac {1}{3}\)

Question (vi).

10\(\frac {5}{6}\) × 5

Answer:

10\(\frac {5}{6}\) × 5

= \(\frac {65}{6}\) × 5

= \(\frac{65 \times 5}{6}\)

= \(\frac {325}{6}\)

= 54\(\frac {1}{6}\)

Question (vii).

5 × 6\(\frac {3}{4}\)

Answer:

5 × 6\(\frac {3}{4}\) = 5 × \(\frac {27}{4}\)

= \(\frac{5 \times 27}{4}\)

= \(\frac {135}{4}\)

= 33\(\frac {3}{4}\)

Question (viii).

3 \(\frac {2}{5}\) × 8

Answer:

3 \(\frac {2}{5}\) × 8 = \(\frac {17}{5}\) × 8

= \(\frac{17 \times 8}{5}\)

= \(\frac {136}{5}\)

= 27\(\frac {1}{5}\)

3. Solve :

Question (i).

\(\frac {1}{2}\) of 46

Answer:

\(\frac {1}{2}\) of 46

= \(\frac {1}{2}\) × 46

= 23

Question (ii).

\(\frac {2}{3}\) of 27

Answer:

\(\frac {2}{3}\) of 27

= \(\frac {2}{3}\) × 27

= 18

Question (iii).

\(\frac {1}{3}\) of 36

Answer:

\(\frac {1}{3}\) of 36

= \(\frac {1}{3}\) × 36

= 12

Question (iv).

\(\frac {3}{4}\) of 16

Answer:

\(\frac {3}{4}\) of 16

= \(\frac {3}{4}\) × 16

= 12

Question (v).

\(\frac {5}{7}\) of 35

Answer:

\(\frac {5}{7}\) of 35

= \(\frac {5}{7}\) × 35

= 25

4. Shade :

(i) \(\frac {1}{3}\) of the rectangles in box (a)

(ii) \(\frac {2}{3}\) of the circles in box (b)

(iii) \(\frac {1}{2}\) of the triangles in box (c)

Answer:

5. Rahul earns ₹ 44,000 per month. He spends \(\frac {3}{4}\) th of his income every month and saves the rest of his earning. Find his monthly savings ?

Answer:

Rahul earns per month = ₹ 44000

He spends = \(\frac {3}{4}\)th of ₹ 44000

= ₹ \(\frac {3}{4}\) × 44000

= ₹ 33000

His savings = ₹ 44,000 – ₹ 33000

= ₹ 11000

6. The cost of a book is ₹ 117\(\frac {1}{2}\). Find the cost of 8 books ?

Answer:

Cost of one book = ₹ 117 \(\frac {1}{2}\)

= ₹ \(\frac {235}{2}\)

Cost of 8 books = 8 × ₹ \(\frac {235}{2}\)

= ₹ 4 × 235

= ₹ 940

7. Multiple choice questions :

Question (i).

\(\frac {1}{2}\) × 8 is equal to

(a) 8

(6) 2

(c) 4

(d) 1

Answer:

(c) 4

Question (ii).

\(\frac {3}{2}\) of 16 is :

(a) 48

(b) 8

(c) 3

(d) 24

Answer:

(d) 24

Question (iii).

What fraction of an hour is 40 minutes ?

(a) \(\frac {2}{3}\)

(b) 40

(c) \(\frac {1}{4}\)

(d) \(\frac {1}{2}\)

Answer:

(a) \(\frac {2}{3}\)

Question (iv).

What fraction does the shaded part of figure represent ?

(a) \(\frac {1}{3}\)

(b) \(\frac {2}{3}\)

(c) \(\frac {3}{4}\)

(d) \(\frac {1}{2}\)

Answer:

(c) \(\frac {3}{4}\)