Question

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

• A. $\frac{3}{8}$
• B. $1\frac{1}{2}$
• C. $2\frac{1}{2}$
• D. $3\frac{3}{8}$

Answer 1

The correct option is C

$2\frac{1}{2}$

Let the other number be x.
Given: The product of two numbers = $15\frac{5}{6}$
$\Rightarrow$ $6\frac{1}{3}\times x=15\frac{5}{6}$
$\Rightarrow$ $\frac{19}{3}\times x=\frac{95}{6}$
$\Rightarrow x=\frac{95}{6}÷\frac{19}{3}$
$\Rightarrow x=\frac{95}{6}\times \frac{3}{19}$
$\Rightarrow x=\frac{95}{38}$

Therefore, the required number is $2\frac{19}{38}=2\frac{1}{2}$.