Question

Convert $101\frac{60}{84}$ to its simplest form.

• A. $101\frac{5}{7}$
• B. $101\frac{1}{7}$
• C. $101\frac{1}{5}$

Answer 1

The correct option is A $101\frac{5}{7}$

Fractional part: $\frac{60}{84}$
Prime Factorisation of 60: 2 × 2 × 3 × 5
Prime Factorisation of 84: 2 × 2 × 3 × 7

$\therefore \frac{60}{84}=\frac{2\times 2\times 3\times 5}{2\times 2\times 3\times 7}$
$=\frac{5}{7}$
As whole part remains the same, hence $101\frac{60}{84}$ can be written as $101\frac{5}{7}$ in its simplest form.