Question

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

Answer 1

Determine the number.

Consider$X$ being any number.

$\begin{array}{rcl}\frac{3}{7}\times X& =& \frac{15}{98}\end{array}$

Apply the cross-multiplication method as follows:

$\begin{array}{rcl}X& =& \frac{15}{98}\times \frac{7}{3}\\ & \Rightarrow & X=\frac{5}{14}\end{array}$

Hence, the number is $\frac{3}{7}\times \boxed{\frac{5}{14}}=\frac{15}{98}$.