What is 24/48 Divided By 2/9

Solving $\frac{24}{48}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{48} \div \frac{2}{9} = \frac{24}{48} \times \frac{9}{2}$

• Multiply the Numerators: $24 \times 9 = 216$
• Multiply the Denominators: $48 \times 2 = 96$
• Form the New Fraction: $\frac{24}{48} \times \frac{2}{9} = \frac{216}{96}$

Let's Simplify $\frac{216}{96}$

• Find the Greatest Common Divisor (GCD) of $216$ and $96$. The GCD of $216$ and $96$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 24}{96 \div 24} = \frac{9}{4}$

Answer $\frac{24}{48}\div\frac{2}{9} = \frac{9}{4}$

The following animation demonstrates the divide-by,