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Find an equivalent form of the rational numbers $57, 38, 914 and 2021$ having a common denominator.

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120148, 63148, 108148 and 160148

120138, 63138, 108138 and 160138

120158, 63158, 108158 and 160158

120168, 63168, 108168 and 160168

answer is D.

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Detailed Solution

Given rational numbers are

57, 38, 914 and 2021

.
The LCM of 7,8,14 and 21 is 168.
Multiplying the denominator and the numerator of

57

with 24,

5 × 24 7 × 24 = 120168

Multiplying the denominator and the numerator of

38

with 21,

3 × 21 8 × 21 = 63168

Multiplying the denominator and the numerator of

914

with 12,

9 × 12 14 × 12 = 108168

Multiplying the denominator and the numerator of

2021

with 8,

20 × 8 21 × 8 = 160168

Therefore, the equivalent forms of

57, 38, 914 and 2021

having common denominator are

120168, 63168, 108168 and 160168

.
Hence, option (4) is correct.

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