Question

Convert $37\frac{70}{105}$ to its simplest form.

• A. $37\frac{14}{21}$
• B. $37\frac{2}{3}$
• C. $37\frac{1}{3}$

Answer 1

The correct option is B $37\frac{2}{3}$

Fractional part: $\frac{70}{105}$
Prime Factorisation of 70: 2 × 5 × 7
Prime Factorisation of 105: 3 × 5 × 7

$\therefore \frac{70}{105}=\frac{2\times 5\times 7}{3\times 5\times 7}$
$=\frac{2}{3}$
As whole part is the same, hence $37\frac{70}{105}$ can be written as $37\frac{2}{3}$ in its simplest form.