Question

Replace $\square$ by the correct number.

$\frac{2}{5}=\frac{\square }{20}$

Answer 1

Given that the two fractions $\frac{2}{5}$and $\frac{\square }{20}$ are equivalent fractions. Therefore, the two fractions when reduced to their simplest forms are equal. Now $\frac{2}{5}$ has been reduced to its simplest form because the common factor of numerator and denominator is one. Therefore, $\frac{\square }{20}$ is a fraction such that which when reduced to its simplest form gives $\frac{2}{5}$.

Clearly $\frac{8}{20}$ is a fraction such that $\frac{8}{20}=\frac{8÷4}{20÷4}$ [dividing numerator and denominator by $4$]

$=\frac{2}{5}$

Therefore, $\square$can be replaced by $8$.