Question

Which of the following is the simplest form
$\text{of}\frac{35}{75}?$

• A. $\frac{7}{3}$
• B. $\frac{7}{15}$
• C. $\frac{7}{5}$
• D. $\frac{7}{25}$

Answer 1

The correct option is B

$\frac{7}{15}$

$35$ can be written as $5\times 7$ and $75$ can be written as $5\times 5\times 3$.

Now,
$\frac{35}{75}=\frac{5\times 7}{5\times 5\times 3}$

By cancelling the common factors, we get,

$\frac{35}{75}=\frac{7}{15}$