Question

Convert $133\frac{64}{80}$ to its simplest form.

• A. $133\frac{4}{5}$
• B. $133\frac{5}{4}$
• C. $4\frac{133}{5}$

Answer 1

The correct option is A $133\frac{4}{5}$

Fractional part: $\frac{64}{80}$
Prime Factorisation of 60: 2 × 2 × 2 × 2 × 2 × 2
Prime Factorisation of 84: 2 × 2 × 2 × 2 × 5

$\therefore \frac{64}{80}=\frac{2\times 2\times 2\times 2\times 2\times 2}{2\times 2\times 2\times 2\times 5}=\frac{2\times 2}{5}=\frac{4}{5}$
As whole part is the same, hence $133\frac{64}{80}$ can be written as $133\frac{4}{5}$ in its simplest form.