3. Determine if the following pairs are equal by writing each in their simplest form.
3 375
and
1000
(
1)
18 23
and
54 69
6
and
10
(
i)
600
1000
17 25
and
27 45
(iv)17/27
25 /45
Answers
Answer:
Rd Sharma 2019 for Class 7 Math Chapter 9 - Ratio And Proportion
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Textbook Solutions Class 7 Math Ratio And Proportion
Rd Sharma 2019 Solutions for Class 7 Math Chapter 9 Ratio And Proportion are provided here with simple step-by-step explanations. These solutions for Ratio And Proportion are extremely popular among Class 7 students for Math Ratio And Proportion Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rd Sharma 2019 Book of Class 7 Math Chapter 9 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rd Sharma 2019 Solutions. All Rd Sharma 2019 Solutions for class Class 7 Math are prepared by experts and are 100% accurate.
Page No 9.10:
Question 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
ANSWER:
(i) Writing the ratios as fractions, we have
3 : 4 =
3
4
and 9 : 16 =
9
16
Now, LCM of 4 and 16 = 16.
Making the denominator of each fraction = 16, we have
3
4
=
3 × 4
4 × 4
=
12
16
and the other fraction =
9
16
Of
12
16
and
9
16
, clearly
12
16
>
9
16
.
Therefore,
3
4
>
9
16
.
(ii) Writing the ratios as fractions, we have
15 : 16 =
15
16
and 24 : 25 =
24
25
Now, LCM of 16 and 25 = 400.
Making the denominator of each fraction = 400, we have
15
16
=
15 × 25
16 × 25
=
375
400
and the other fraction =
24 × 16
25 × 16
=
384
400
Clearly, 384 > 375. So,
384
400
>
375
400
.
Therefore,
24
25
>
15
16
.
(iii) Writing the ratios as fractions, we have
4 : 7 =
4
7
and 5 : 8 =
5
8
Now, LCM of 7 and 8 = 56.
Making the denominator of each fraction = 56, we have
4× 8
7 × 8
=
32
56
and the other fraction =
5 × 7
8 × 7
=
35
56
Clearly, 36 > 32. So,
35
56
>
32
56
.
Therefore,
5
8
>
4
7
.
(iv) Writing the ratios as fractions, we have
9 : 20 =
9
20
and 8 : 13 =
8
13
Now, LCM of 20 and 13 = 260.
Making the denominator of each fraction = 260, we have
9× 13
20 × 13
=
117
260
and the other fraction =
8 × 20
13 × 20
=
160
260
Clearly, 160 > 117. So,
160
260
>
117
260
.
Therefore,
8
13
>
9
20
.
(v) Writing the ratios as fractions, we have
1 : 2 =
1
2
and 13 : 27 =
13
27
Now, LCM of 2 and 27 = 54.
Making the denominator of each fraction = 54, we have
1× 27
2 × 27
=
27
54
and the other fraction =
13 × 2
27 × 2
=
26
54
Clearly, 27 > 26. So,
27
54
>
26
54
.
Therefore,
1
2
>
13