Question
Write the number in the box $\Box$ such that $\frac{3}{7}\times\Box=\frac{15}{98}$

Answer

Let the missing number be x. Then, $\frac{3}{7}\times\text{x}=\frac{15}{98}$ $\Rightarrow\text{x}=\frac{15}{98}\div\frac{3}{7}=\frac{15}{98}\times\frac{7}{3}$ $\big[\because\text{reciprocal of}\ \frac{3}{7}=\frac{7}{3}\big]$ $\text{x}=\frac{5}{14}$ Hence, $\frac{3}{7}\times\frac{5}{14}=\frac{15}{98}$

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