Question

The product of two numbers is $25\frac{5}{6}$. If one of the numbers is $6\frac{2}{3}$. find the other.

Answer 1

Given:

The product of two numbers is $25\frac{5}{6}$.

One of the number is $6\frac{2}{3}$

Let the required number be $x$.

According to the question,

$\Rightarrow 6\frac{2}{3}\times x=25\frac{5}{6}$

$\Rightarrow x=25\frac{5}{6}÷6\frac{2}{3}$

$\Rightarrow x=\frac{155}{6}÷\frac{20}{3}$

$\Rightarrow x=\frac{155}{6}\times \frac{3}{20}$ [$\because \frac{a}{b}÷\frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$]

$\Rightarrow x=\frac{31}{2}\times \frac{1}{4}$

$\Rightarrow x=\frac{31}{8}$

$\Rightarrow x=3\frac{7}{8}$
Hence, the other number is $3\frac{7}{8}$.