What is 85/75 Divided By 4/9

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,