Question

The product of two numbers is $15\frac{5}{6}$.
If one number is $6\frac{2}{3}$, then what is the other number?

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

Answer 1

The correct option is C $2\frac{3}{8}$

Let us first convert the mixed fractions given into improper fractions.

$15\frac{5}{6}$ $=$ $\frac{15\times 6+5}{6}=\frac{95}{6}$
$6\frac{2}{3}=\frac{20}{3}$

To find the other number, we need to divide the product of the two numbers by the given number.
i.e., We need to perform the division: $15\frac{5}{6}÷6\frac{2}{3}$
i.e.,$\frac{95}{6}÷\frac{20}{3}$

$\frac{95}{6}÷\frac{20}{3}=\frac{95}{6}\times \frac{3}{20}$

$=\frac{19}{2}\times \frac{1}{4}$

$=\frac{19}{8}$

$=2\frac{3}{8}$

$\therefore \text{The required number is}2\frac{3}{8}$.