What is 75/95 Divided By 5/3

Solving $\frac{75}{95}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{95} \div \frac{5}{3} = \frac{75}{95} \times \frac{3}{5}$

• Multiply the Numerators: $75 \times 3 = 225$
• Multiply the Denominators: $95 \times 5 = 475$
• Form the New Fraction: $\frac{75}{95} \times \frac{5}{3} = \frac{225}{475}$

Let's Simplify $\frac{225}{475}$

• Find the Greatest Common Divisor (GCD) of $225$ and $475$. The GCD of $225$ and $475$ is $25$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 25}{475 \div 25} = \frac{9}{19}$

Answer $\frac{75}{95}\div\frac{5}{3} = \frac{9}{19}$

The following animation demonstrates the divide-by,