What is 75/85 Divided By 9/4

Solving $\frac{75}{85}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{85} \div \frac{9}{4} = \frac{75}{85} \times \frac{4}{9}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{75}{85} \times \frac{9}{4} = \frac{300}{765}$

Let's Simplify $\frac{300}{765}$

• Find the Greatest Common Divisor (GCD) of $300$ and $765$. The GCD of $300$ and $765$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 15}{765 \div 15} = \frac{20}{51}$

Answer $\frac{75}{85}\div\frac{9}{4} = \frac{20}{51}$

The following animation demonstrates the divide-by,