Question

What number will replace '$*$' mark?

$\frac{7}{8}$$=$$\frac{21}{*}$

Answer 1

Given that the two fractions $\frac{7}{8}$and $\frac{21}{*}$ are equivalent fractions. Therefore, the two fractions when reduced to their simplest forms are equal.

Since $\frac{7}{8}$is itself the simplest form because $7$ and $8$ are prime to each other. Therefore $\frac{21}{*}$is a fraction such that $\frac{21}{*}$$=$$\frac{7}{8}$

Therefore, clearly for the fraction $\frac{21}{*}$ , the $*$ can be replaced by $24$ because $\frac{21}{24}$when reduced to its simplest form gives $\frac{7}{8}$.