Question

The product of two numbers is $15\frac{5}{6}$. If one of the numbers is $6\frac{1}{3}$, find the other.

Answer 1

Product of the two numbers = $15\frac{5}{6}$ =$\frac{95}{6}$

One of the numbers = $6\frac{1}{3}$ =$\frac{19}{3}$

∴ The other number = $\left(\frac{95}{6}÷\frac{19}{3}\right)$

= $\left(\frac{95}{6}\times \frac{3}{19}\right)$ [∵ Reciprocal of $\frac{19}{3}$ = $\frac{3}{19}$]

= $\left(\frac{5}{2}\right)=2\frac{1}{2}$

Hence, the other number is $2\frac{1}{2}$.