Compare the fractions and put an appropriate sign. (a) 3 / 6 ☐ 5 / 6 (b) 1 / 7 ☐ 1 / 4 (c) 4 / 5 ☐ 5 / 5 (d) 3 / 5 ☐ 3 / 7

Solution

(a)3 / 6 ☐ 5 / 6

Both the fractions have common denominators.

So, the fraction with greater numerator is the highest factor

∴ 3 / 6 < 5 / 6

(b) 1 / 7 ☐ 1 / 4

Let us multiply the first fraction 1/7 by 4

1 / 7 = (1 × 4) / (7 × 4)

= 4 / 28

Le us multiply the second fraction by 7

1 / 4 = (1 × 7) / (4 × 7)

= 7 / 28

Here 4 < 7

∴ 1 / 7 < 1 / 4

(c) 4 / 5 ☐ 5 / 5

Both fractions have the same denominators. So, the fraction with the greater numerator is the highest factor

∴ 4 / 5 < 5 / 5

(d) 3 / 5 ☐ 3 / 7

Here both numerators are the same. So, the fraction having less denominator will be the highest factor

∴ 3 / 7 < 3 / 5

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