RBSE Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Intext Questions

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

RBSE Class 7 Maths Solutions Chapter 2 Fractions and Decimals Intext Questions

(Try These Page No: 34)

Question 1.
Find:
(a) \(\frac{2}{7}\) × 3
(b) \(\frac{9}{7}\) × 6
(c) 3 × \(\frac{1}{8}\)
(d) \(\frac{13}{11}\) × 6
If the product is an improper fraction express it as a mixed fraction.
Answer:
(a) \(\frac{2}{7}\) × 3 = \(\frac{6}{7}\)
(b) \(\frac{9}{7}\) × 6 = \(\frac{54}{7}\) = 7\(\frac{5}{7}\)
(c) 3 × \(\frac{1}{8}\) = \(\frac{3}{8}\)
(d) \(\frac{13}{11}\) × 6 = \(\frac{78}{11}\) = 7\(\frac{1}{11}\)

Question 2.
Represent pictorially : 2 × \(\frac{2}{5}\) = \(\frac{4}{5}\)
Answer:

Question 3.
Find : (i) 5 × 2\(\frac{3}{7}\)
Answer:
\(5 \times 2 \frac{3}{7}=5 \times \frac{17}{7}=\frac{85}{7}=12 \frac{1}{7}\)

(ii) 1\(\frac{4}{9} × 6\)
Answer:
\(1 \frac{4}{9} \times 6=\frac{13}{9} \times 6=\frac{78}{9}=\frac{78 \div 3}{9 \div 3}=\frac{26}{3}=8 \frac{2}{3}\)

(Try These Page No: 35)

Question 1.
Can you tell, what is
(i) \(\frac{1}{2}\) of 10?
Answer:
\(\frac{1}{2}\) of 10 = \(\frac{1}{2}\) × 10 = \(\frac{10}{2}\) = 5

(ii) \(\frac{1}{4}\) of 16?
Answer:
\(\frac{1}{4}\) of 16 = \(\frac{1}{4}\) × 16 = \(\frac{16}{4}\) = 4

(iii) \(\frac{2}{5}\) of 25?
Answer:
\(\frac{2}{5}\) of 25 = \(\frac{2}{5}\) × 25 = \(\frac{50}{5}\) = 10

(Try These Page No: 39)

Question 1.
Fill in these boxes:

Answer:

(Try These Page No: 40)

Question 1.
Find:
Answer:

Question 2.
Answer:

(Think Discuss and Write Page No: 44)

Question 1.
(i) Will the reciprocal of a proper fraction be again a proper fraction?
(ii) Will the reciprocal of an improper fraction be again an improper fraction?
Answer:
(i) No, the reciprocal of a proper fraction will not be a proper fraction. It will be a improper fraction.
(ii) No, the reciprocal of an improper fraction will not be an improper fraction. It will be a proper fraction.

(Try These Page No: 45)

Question 1.
Find: (i) 7 ÷ \(\frac{2}{5}\)
(ii) 6 ÷ \(\frac{4}{7}\)
(iii) 2 ÷ \(\frac{8}{9}\)
Answer:

Question 2.
Find:
(i) 6 ÷ 5\(\frac{1}{3}\)
Answer:

(ii) 7 ÷ 2\(\frac{4}{7}\)
Answer:

(Try These Page No: 45)

Question 1.
Find:
(i) \(\frac{3}{5} \div \frac{1}{2}\)
(ii) \(\frac{1}{2} \div \frac{3}{5}\)
(iii) 2 \(\frac{1}{2} \div \frac{3}{5}\)
(iv) 5 \(\frac{1}{6} \div \frac{9}{2}\)
Answer:

(Try These Page No: 50)

Question 1.
Find :
(i) 2.7 × 4
Answer:
∵ 27 × 4 = 108 and there is one place to the right of decimal point.
∴ 2.7 × 4 = 10.8

(ii) 1.8 × 1.2
Answer:
∵ 18 × 12 = 216 and there are 1 + 1 = 2 places to the right of decimal point.
∴ 1.8 × 1.2 = 2.16

(iii) 2.3 × 4.35
Answer:
∵ 23 × 435 = 10005 and there are 1 + 2 = 3 places to the right of decimal point.
∴ 2.3 × 4.35 = 10.005

Question 2.
Arrange the products obtained in (1) in descending order.
Answer:
∵ 10.8 > 10.005 > 2.16
∴ Descending order is 10.8, 10.005, 2.16.

(Try These Page No: 51)

Question 1.
Find :
(i) 0.3 × 10
Answer:
0.3 × 10
∵ There is one zero in 10.
∴ Decimal is shifted 1 place to the right.
∴ 0.30 × 10 = 3.0

(ii) 1.2 × 100
Answer:
1.2 × 100
∵ There are two zeros in 100.
∴ Decimal is shifted 2 places to the right
∴ 1.200 × 100 = 120.0

(iii) 56.3 × 1000
Answer:
56.3 × 1000
∵ There are three zeros in 1000.
∴ Decimal is shifted 3 places to the right.
∴ 56.3000 × 1000 = 56300.0

(Try These Page No: 53)

Question 1.
Find :
(i) 235.4 ÷ 10
Answer:
235.4 ÷ 10
∵ There is one zero in 10.
∴ Decimal is shifted 1 place to the left.
∴ 235.4 × 10 = 23.54

(ii) 235.4 ÷ 100
Answer:
235.4 ÷ 100
∵ There are two zeros in 100.
∴ Decimal is shifted 2 places to the left.
235.4 ÷ 100 = 2.354

(iii) 235.4 ÷ 1000
Answer:
235.4 ÷ 1000
∵ There are three zeros in 1000.
∴ Decimal is shifted 3 places to the left.
235.4 ÷ 1000 = 0.2354

(Try These Page No: 53)

Question 1.
Find : (i) 35.7 ÷ 3 = ?
Answer:
∵ 357 ÷ 3 = 119 and there is one palce to the right of the decimal point.
∴ 35.7 ÷ 3 = 11.9

(ii) 25.5 ÷ 3 = ?
Answer:
∵ 255 ÷ 3 = 85 and there is one place at the right of the decimal point.
∴ 25.5 ÷ 3 = 8.5

Question 2.
Find : (i) 43.15 ÷ 5 = ?
Answer:
(i) ∵ 4315 ÷ 5 = 863 and there are two places to the right of decimal point.
∴ 43.15 ÷ 5 = 8.63

(ii) 82.44 ÷ 6 = ?
Answer:
∵ 8244 ÷ 6 = 1374 and there are two places to the right of decimal point.
∴ 82.44 ÷ 6 = 13.74

Question 3.
Find:
(i) 15.5 ÷ 5
Answer:
∵ 155 ÷ 5 = 31 and there is one place to the right of decimal point.
∴ 15.5 ÷ 5 = 3.1

(ii) 126.35 ÷ 7
Answer:
∵ 12635 ÷ 7 = 1805 and there are two places to the right of decimal point.
∴ 126.35 ÷ 7 = 18.05

(Try These Page No: 54)

Question 1.
Find:
(i) \(\frac{7.75}{0.25}\)
Answer:
\(\frac{7.75}{0.25}=\frac{7.75 \times 100}{0.25 \times 100}=\frac{775}{25}\) = 31

(ii) \(\frac{42.8}{0.02}\)
Answer:
\(\frac{42.8}{0.02}=\frac{42.8 \times 100}{0.02 \times 100}=\frac{4280}{2}\) = 2140

(iii) \(\frac{5.6}{1.4}\)
Answer:
\(\frac{5.6}{1.4}=\frac{56 \times 10}{1.4 \times 10}=\frac{56}{14}\) = 4