What is 24/72 Divided By 2/9

Solving $\frac{24}{72}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{72} \div \frac{2}{9} = \frac{24}{72} \times \frac{9}{2}$

• Multiply the Numerators: $24 \times 9 = 216$
• Multiply the Denominators: $72 \times 2 = 144$
• Form the New Fraction: $\frac{24}{72} \times \frac{2}{9} = \frac{216}{144}$

Let's Simplify $\frac{216}{144}$

• Find the Greatest Common Divisor (GCD) of $216$ and $144$. The GCD of $216$ and $144$ is $72$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 72}{144 \div 72} = \frac{3}{2}$

Answer $\frac{24}{72}\div\frac{2}{9} = \frac{3}{2}$

The following animation demonstrates the divide-by,