RD Sharma Solution for Class 7 Maths Exercise 9.2 of Chapter 9 Ratio and Proportion is provided in a simple PDF format. Students can easily download the PDF from the given links. BYJU’S subject experts formulate answers for all questions present in this exercise briefly. To excel in the final exam, students must practise RD Sharma Solutions for Class 7 Maths. This exercise deals with the comparison of ratios by making denominators the same. It also deals with the equivalent ratio, defined as a ratio obtained by multiplying or dividing the numerator and denominator of a given ratio by the same number.
RD Sharma Solutions for Class 7 Maths Chapter 9 – Ratio and Proportion Exercise 9.3
Access answers to Maths RD Sharma Solutions for Class 7 Chapter 9 – Ratio and Proportion Exercise 9.2
1. Which ratio is larger in the following pairs?
(i) 3: 4 or 9: 16
(ii) 15: 16 or 24: 25
(iii) 4: 7 or 5: 8
(iv) 9: 20 or 8: 13
(v) 1: 2 or 13: 27
Solution:
(i) Given 3: 4 or 9: 16
LCM for 4 and 16 is 16
3: 4 can be written as = 3/4
3/4 × (4/4) = 12/16
And we have 9/16
Clearly, 12 > 9
Therefore 3: 4 > 9: 16
(ii) Given 15: 16 or 24: 25
LCM for 16 and 25 is 400
15: 16 can be written as = 15/16
15/16 × (25/25) = 375/400
And we have 24/25
24/25 × (16/16) = 384/400
Clearly, 384 > 375
Therefore 15: 16 < 24: 25
(iii) Given 4: 7 or 5: 8
LCM for 7 and 8 is 56
4: 7 can be written as = 4/7
4/7 × (8/8) = 32/56
And we have 5/8
5/8 × (7/7) = 35/56
Clearly, 35 > 32
Therefore 4: 7 < 5: 8
(iv) Given 9: 20 or 8: 13
LCM for 20 and 13 is 260
9: 20 can be written as = 9/20
9/20 × (13/13) = 117/260
And we have 8/13
8/13 × (20/20) = 160/260
Clearly, 160 > 117
Therefore 9: 20 < 8: 13
(v) Given 1: 2 or 13: 27
LCM for 2 and 27 is 54
1: 2 can be written as = 1/2
1/2 × (27/27) = 27/54
And we have 13/27
13/27 × (2/2) = 26/54
Clearly, 27 > 26
Therefore 1: 2 > 13: 27
2. Give the equivalent ratios of 6: 8.
Solution:
Given 6: 8
By multiplying both numerator and denominator by 2 we equivalent ratios
6/8 × (2/2) = 12/16
And also by dividing both numerator and denominator by 2 we equivalent ratios
(6/2)/ (8/2) = 3/4
Two equivalent ratios are 3: 4 = 12: 16
3. Fill in the following blanks:
12/20 = …. /5 = 9/….
Solution:
12/20 = 3/5 = 9/15
Explanation:
Consider 12/20 = …. /5
Let unknown value be x
Therefore 12/20 = x/5
On cross multiplying
x = 60/20
x = 3
Consider 12/20 = 9/….
Let the unknown value be y
Therefore 12/20 = 9/y
On cross multiplying, we get
y = 180/12
y = 15
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