What is 85/72 Divided By 4/9

Solving $\frac{85}{72}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{72} \div \frac{4}{9} = \frac{85}{72} \times \frac{9}{4}$

• Multiply the Numerators: $85 \times 9 = 765$
• Multiply the Denominators: $72 \times 4 = 288$
• Form the New Fraction: $\frac{85}{72} \times \frac{4}{9} = \frac{765}{288}$

Let's Simplify $\frac{765}{288}$

• Find the Greatest Common Divisor (GCD) of $765$ and $288$. The GCD of $765$ and $288$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{765 \div 9}{288 \div 9} = \frac{85}{32}$

Answer $\frac{85}{72}\div\frac{4}{9} = \frac{85}{32}$

The following animation demonstrates the divide-by,