What is 72/24 Divided By 4/9

Solving $\frac{72}{24}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{24} \div \frac{4}{9} = \frac{72}{24} \times \frac{9}{4}$

• Multiply the Numerators: $72 \times 9 = 648$
• Multiply the Denominators: $24 \times 4 = 96$
• Form the New Fraction: $\frac{72}{24} \times \frac{4}{9} = \frac{648}{96}$

Let's Simplify $\frac{648}{96}$

• Find the Greatest Common Divisor (GCD) of $648$ and $96$. The GCD of $648$ and $96$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{648 \div 24}{96 \div 24} = \frac{27}{4}$

Answer $\frac{72}{24}\div\frac{4}{9} = \frac{27}{4}$

The following animation demonstrates the divide-by,