Which of the following fractions is in the simplest form?

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$\frac{7}{12}$

$\frac{3}{21}$

$\frac{3}{12}$

$\frac{7}{21}$

answer is B.

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Detailed Solution

A fraction is said to be in the simplest form if its numerator and denominator have no common factor except 1.

In the fraction $\frac{3}{12}$ , the H.C.F. of the numerator 3 and the denominator 12 is 3.

In the fraction $\frac{7}{12}$ , the H.C.F. of the numerator 7 and the denominator 12 is 1.

In the fraction $\frac{7}{21}$ , the H.C.F. of the numerator 7 and the denominator 21 is 7.

In the fraction $\frac{3}{21}$ , the H.C.F. of the numerator 3 and the denominator 21 is 3.

Thus, the only fraction $\frac{7}{12}$ is in its simplest form.

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