Question

If A = $\frac{6}{7}$ and B = $\frac{7}{6}$.
Between A and B, which one is greater?

• A. A
• B. B
• C. Both are equal
• D. Cannot be determined

Answer 1

The correct option is B

B

LCM of 6 and 7 is 42.

Hence we have , $\frac{6\times 6}{7\times 6}$ = $\frac{36}{42}$

Multiplying 7 on the numerator and denominator of $\frac{7\times 7}{6\times 7}$ = $\frac{49}{42}$.

By comparing the numerators, we have, 49>36.

Hence $\frac{7}{6}$ > $\frac{6}{7}$.