Question

simplify.
\frac{\frac{5}{9}}{\frac{2}{15}}

Explanation:

Step1: Recall division - fraction rule

Dividing by a fraction is multiplying by its reciprocal. So $\frac{\frac{5}{9}}{\frac{2}{15}}=\frac{5}{9}\times\frac{15}{2}$.

Step2: Multiply numerators and denominators

$5\times15 = 75$ and $9\times2=18$. So we get $\frac{75}{18}$.

Step3: Simplify the fraction

Find the greatest - common divisor of 75 and 18. The GCD of 75 and 18 is 3. Divide both numerator and denominator by 3: $\frac{75\div3}{18\div3}=\frac{25}{6}$.

Answer:

$\frac{25}{6}$