Question

The product of two numbers is $12\frac{3}{4}$. If one of the numbers is $3\frac{2}{5}$, what is the other number?

• A. $\frac{3}{4}$
• B. $2\frac{3}{4}$
• C. $3\frac{3}{4}$
• D. $4\frac{3}{4}$

Answer 1

The correct option is C

$3\frac{3}{4}$

Let the other number be $x$.
Given: The product of two numbers = $12\frac{3}{4}$
$\Rightarrow$ $3\frac{2}{5}\times x=12\frac{3}{4}$
$\Rightarrow$ $\frac{17}{5}\times x=\frac{51}{4}$
$\Rightarrow x=\frac{51}{4}÷\frac{17}{5}$
$\Rightarrow x=\frac{51}{4}\times \frac{5}{17}$

$\Rightarrow x=\frac{15}{4}$
$\Rightarrow x=3\frac{3}{4}$
Therefore, the required number is $3\frac{3}{4}$.