What is 19/95 Divided By 5/9

Solving $\frac{19}{95}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{95} \div \frac{5}{9} = \frac{19}{95} \times \frac{9}{5}$

• Multiply the Numerators: $19 \times 9 = 171$
• Multiply the Denominators: $95 \times 5 = 475$
• Form the New Fraction: $\frac{19}{95} \times \frac{5}{9} = \frac{171}{475}$

Let's Simplify $\frac{171}{475}$

• Find the Greatest Common Divisor (GCD) of $171$ and $475$. The GCD of $171$ and $475$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{171 \div 19}{475 \div 19} = \frac{9}{25}$

Answer $\frac{19}{95}\div\frac{5}{9} = \frac{9}{25}$

The following animation demonstrates the divide-by,