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How quickly can you do this? Fill in the appropriate sign. (‘<‘, ‘=’, ‘>’)
(a) 1/2 [_] 1/5
(b) 2/4 [_] 3/6
(c) 3/5 [_] 2/3
(d) 3/4 [_] 2/8
(e) 3/5 [_] 6/5
(f) 7/9 [_] 3/9
(g) 1/4 [_] 2/8
(h) 6/10 [_] 4/5
(i) 3/4 [_] 7/8
(j) 6/10 [_] 3/5
(k) 5/7 [_] 15/21

Solution:

We use the concepts of fractions and comparing fractions to answer the given question.

(a) 1/2 [_] 1/5

The numerators of two given fractions are the same. So, the fraction that has the lesser denominator is the largest. Here, 5 > 2. So 1/2 [>] 1/5

(b) 2/4 [_] 3/6

2/4 and 3/6 can be both simplified to 1/2 and hence they are equal. So 2/4 [=] 3/6.

(c) 3/5 [_] 2/3

Multiplying each to make denominators equal, we have 3/5 = 9/15 and 2/3 = 10/15. Here, for 9/15 and 10/15, 9 < 10. The denominators of two given fractions are the same. So, the fraction that has the greater numerator is the largest. So 3/5 [<] 2/3

(d) 3/4 [_] 2/8

Multiplying each to make denominators equal, we have 3/4 = 6/8 and 2/8 = 2/8. Here, for 6/8 and 2/8, 6 < 2. The numerators of two given fractions are the same. So, the fraction that has the lesser denominator is the largest. So 3/4 [<] 2/8

(e) 3/5 [_] 6/5

The denominators of two given fractions are the same. So, the fraction that has the greater numerator is the largest. So, 3/5 [<] 6/5

(f) 7/9 [_] 3/9

The denominators of two given fractions are the same. So, the fraction that has the greater numerator is the largest. So, 7/9 [>] 3/9

(g) 1/4 [_] 2/8

1/4 and 2/8 can be both simplified to 1/4 and hence they are equal. So 1/4 [=] 2/8.

(h) 6/10 [_] 4/5

Multiplying each to make denominators equal, we have 6/10 = 6/10 and 4/5 = 8/10. Here, for 6/10 and 8/10, 6 < 8. The denominators of two given fractions are the same. So, the fraction that has the greater numerator is the largest. So 6/10 [<] 4/5

(i) 3/4 [_] 7/8

Multiplying each to make denominators equal, we have 3/4 = 6/8 and 7/8 = 7/8. Here, for 6/8 and 7/8, 6 < 7. The denominators of two given fractions are the same. So, the fraction that has the greater numerator is the largest. So, 3/4 [<] 7/8

(j) 6/10 [_] 3/5

6/10 can be simplified to 3/5 by dividing numerator and denominator by 2. Thus, 6/10 [=] 3/5

(k) 5/7 [_] 15/21

5/7 and 15/21 can be both simplified to 5/7 and hence they are equal. So 5/7 [=] 15/21.

NCERT Solutions Class 6 Maths Chapter 7 Exercise 7.4 Question 5

How quickly can you do this? Fill in the appropriate sign. ‘<‘, ‘=’, ‘>’. (a) 1/2 [_] 1/5 (b) 2/4 [_] 3/6 (c) 3/5 [_] 2/3 (d) 3/4 [_] 2/8 (e) 3/5 [_] 6/5 (f) 7/9 [_] 3/9 (g) 1/4 [_] 2/8 (h) 6/10 [_] 4/5 (i) 3/4 [_] 7/8 (j) 6/10 [_] 3/5 (k) 5/7 [_] 15/21

Summary:

Using the concepts of fractions and comparing fractions, we conclude that (a) 1/2 [>] 1/5, (b) 2/4 [=] 3/6, (c) 3/5 [<] 2/3, (d) 3/4 [>] 2/8, (e) 3/5 [<] 6/5, (f) 7/9 [>] 3/9, (g) 1/4 [=] 2/8, (h) 6/10 [<] 4/5, (i) 3/4 [<] 7/8 and (j) 5/7 [=] 15/21

☛ Related Questions:

How quickly can you do this? Fill in the appropriate sign. (‘<‘, ‘=’, ‘>’) (a) 1/2 [_] 1/5 (b) 2/4 [_] 3/6 (c) 3/5 [_] 2/3 (d) 3/4 [_] 2/8 (e) 3/5 [_] 6/5 (f) 7/9 [_] 3/9 (g) 1/4 [_] 2/8 (h) 6/10 [_] 4/5 (i) 3/4 [_] 7/8 (j) 6/10 [_] 3/5 (k) 5/7 [_] 15/21

How quickly can you do this? Fill in the appropriate sign. ‘<‘, ‘=’, ‘>’. (a) 1/2 [_] 1/5 (b) 2/4 [_] 3/6 (c) 3/5 [_] 2/3 (d) 3/4 [_] 2/8 (e) 3/5 [_] 6/5 (f) 7/9 [_] 3/9 (g) 1/4 [_] 2/8 (h) 6/10 [_] 4/5 (i) 3/4 [_] 7/8 (j) 6/10 [_] 3/5 (k) 5/7 [_] 15/21

How quickly can you do this? Fill in the appropriate sign. (‘<‘, ‘=’, ‘>’)
(a) 1/2 [_] 1/5
(b) 2/4 [_] 3/6
(c) 3/5 [_] 2/3
(d) 3/4 [_] 2/8
(e) 3/5 [_] 6/5
(f) 7/9 [_] 3/9
(g) 1/4 [_] 2/8
(h) 6/10 [_] 4/5
(i) 3/4 [_] 7/8
(j) 6/10 [_] 3/5
(k) 5/7 [_] 15/21