What is 72/85 Divided By 4/9

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $72 \times 9 = 648$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{72}{85} \times \frac{4}{9} = \frac{648}{340}$

Let's Simplify $\frac{648}{340}$

• Find the Greatest Common Divisor (GCD) of $648$ and $340$. The GCD of $648$ and $340$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{648 \div 4}{340 \div 4} = \frac{162}{85}$

Answer $\frac{72}{85}\div\frac{4}{9} = \frac{162}{85}$

The following animation demonstrates the divide-by,