What is 85/24 Divided By 4/9

Solving $\frac{85}{24}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{24} \div \frac{4}{9} = \frac{85}{24} \times \frac{9}{4}$

• Multiply the Numerators: $85 \times 9 = 765$
• Multiply the Denominators: $24 \times 4 = 96$
• Form the New Fraction: $\frac{85}{24} \times \frac{4}{9} = \frac{765}{96}$

Let's Simplify $\frac{765}{96}$

• Find the Greatest Common Divisor (GCD) of $765$ and $96$. The GCD of $765$ and $96$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{765 \div 3}{96 \div 3} = \frac{255}{32}$

Answer $\frac{85}{24}\div\frac{4}{9} = \frac{255}{32}$

The following animation demonstrates the divide-by,