Question

Divide and simplify: $\frac{125}{15}÷\frac{225}{15}$

• A. $\frac{1}{5}$
• B. $\frac{1}{9}$
• C. $\frac{9}{5}$
• D. $\frac{5}{9}$

Answer 1

The correct option is D $\frac{5}{9}$

Flip the second fraction and then multiply the flipped second fraction by first fraction.

$\frac{125}{15}÷\frac{225}{15}=\frac{125}{15}\times \frac{15}{225}=\frac{125\times 15}{15\times 225}$

Now, we need to simplify the resulting fraction
$\Rightarrow \frac{125\times 15}{15\times 225}=\frac{125}{225}=\frac{5\times 5\times 5}{5\times 5\times 3\times 3}$

Cancel out the common factors of numerator and denominator of the fraction

$\frac{5\times 5\times 5}{5\times 5\times 3\times 3}=\frac{5}{3\times 3}=\frac{5}{9}$

Hence, $\frac{125}{15}÷\frac{225}{15}=\frac{5}{9}$