Question

Is $3\frac{45}{75}$ in the simplest form?

• A. yes
• B. no

Answer 1

The correct option is B no

$3\frac{45}{75}$
Fractional part: $\frac{45}{75}$
Factors of 45: 1, 3, 5, 15, 45
Factors of 75: 1, 3, 5, 15, 25, 75
GCF- 15
$\therefore \frac{45}{75}=\frac{15\times 3}{15\times 5}$
$=\frac{3}{5}$
As whole part is the same, hence $3\frac{45}{75}$ can be written as $3\frac{3}{5}$ in its simplest form.
$\therefore 3\frac{45}{75}$ is not in the simplest form