Question

The product of two numbers is $15\frac{5}{6}$. If one of the numbers is $6\frac{2}{3}$, what is the other number? $\left[3\text{Marks}\right]$

Answer 1

Let the other number be $x$.
Given: The product of $6\frac{2}{3}$ and $x$ is $15\frac{5}{6}$
$\Rightarrow$ $6\frac{2}{3}\times x=15\frac{5}{6}$

$\left[0.5\text{Marks}\right]$

$\Rightarrow$ $\frac{20}{3}\times x=\frac{95}{6}$
$\left[0.5\text{Marks}\right]$

$\Rightarrow x=\frac{95}{6}÷\frac{20}{3}$
$\left[0.5\text{Marks}\right]$

$\Rightarrow x=\frac{95}{6}\times \frac{3}{20}$
$\left[0.5\text{Marks}\right]$

$\Rightarrow x=\frac{19}{8}$
$\left[0.5\text{Marks}\right]$

$\Rightarrow x=2\frac{3}{8}$
$\left[0.5\text{Marks}\right]$

Therefore, the required number is $2\frac{3}{8}$.