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

Rajasthan Board RBSE Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.2 Textbook Exercise Questions and Answers.

RBSE Class 7 Maths Solutions Chapter 2 Fractions and Decimals Ex 2.2

Question 1.
Which of the drawings (a) to (d) show:
(i) 2 × \(\frac{1}{5}\)
(ii) 2 × \(\frac{1}{2}\)
(iii) 3 × \(\frac{2}{3}\)
(iv) 3 × \(\frac{1}{4}\)

Answer:
(i) (d); (ii) (b); (iii) (a); (iv) (c).

Question 2.
Some pictures (a) to (c) are given below. Tell which of them show:
(i) 3 × \(\frac{1}{5}\) = \(\frac{3}{5}\)
(ii) 2 × \(\frac{1}{3}\) = \(\frac{2}{3}\)
(iii) 3 × \(\frac{3}{4}\) = 2\(\frac{1}{4}\)

Answer:
(i) 3 × \(\frac{1}{5}\) = \(\frac{3}{5}\) = (c)
(ii) 2 × \(\frac{1}{3}\) = \(\frac{2}{3}\) = (a)
(iii) 3 × \(\frac{3}{4}\) = 2\(\frac{1}{4}\) = (b)

Question 3.
Multiply and reduce to lowest form and convert into a mixed fraction :
(i) 7 × \(\frac{3}{5}\)
(ii) 4 × \(\frac{1}{3}\)
(iii) 2 × \(\frac{6}{7}\)
(iv) 5 × \(\frac{2}{9}\)
(v) \(\frac{2}{3}\) × 4
(vi) \(\frac{5}{2}\) × 6
(vii) 11 × \(\frac{4}{7}\)
(viii) 20 × \(\frac{4}{5}\)
(ix) 13 × \(\frac{1}{3}\)
(x) 15 × \(\frac{3}{5}\)
Answer:

Question 4.
Shade : (i) \(\frac{1}{2}\) of the circles in box (a).
(ii) \(\frac{2}{3}\) of the triangles in box (b).
(iii) \(\frac{3}{5}\) of the squares in box (c).

Answer:
(i) \(\frac{1}{2}\) of 12 = \(\frac{1}{2}\) × 12 = \(\frac{1}{2}\) = 6

(ii) \(\frac{2}{3} \)of 9 = \(\frac{2}{3} \) × 9 = \(\frac{18}{3}\) = 6

(iii) \(\frac{3}{5}\) of 15 = \(\frac{3}{5}\) × 15 = \(\frac{45}{5}\) = 9

Question 5.
Find:
(a) \(\frac{1}{2}\) of (i) 24 (ii) 46
(b) \(\frac{2}{3}\) of (i) 18 (ii) 27
(c) \(\frac{3}{4}\) of (i) 16 (ii) 36
(d) \(\frac{4}{5}\) of (i) 20 (ii) 35
Answer:

Question 6.
Multiply and express as a mixed fraction :
(a) 3 × 5\(\frac{1}{5}\)
(b) 5 × 6\(\frac{3}{4}\)
(c) 7 × 2\(\frac{1}{4}\)
(d) 4 × 6\(\frac{1}{3}\)
(e) 3\(\frac{1}{4}\) × 6
(f) 3\(\frac{2}{5}\) × 8
Answer:

Question 7.
Find:
(a) \(\frac{1}{2}\) of (i) 2\(\frac{3}{4}\) (ii) 4\(\frac{2}{9}\)
Answer:

(b) \(\frac{5}{8}\) of (i) 3\(\frac{5}{6}\) (ii) 9\(\frac{2}{3}\)
Answer:

Question 8.
Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed \(\frac{2}{5}\) of the water. Pratap consumed the remaining water.
(i) How much water did Vidya drink?
(ii) What fraction of the total quantity of water did Pratap drink?
Answer:
Total quantity of water = 5 litres
(i) Amount of water consumed by Vidya 2
= \(\frac{2}{5}\) of total quantity
= \(\frac{2}{5}\) of 5 = \(\frac{2}{5}\) × 5 = \(\frac{10}{5}\) = 2 litres

(ii) Remainig amount of water consumed by Pratap = 5 - 2 = 3 litres
Therefore, fraction of water consumed by Pratap = \( \frac{3}{5}\)