What is 48/24 Divided By 4/9

Solving $\frac{48}{24}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{24} \div \frac{4}{9} = \frac{48}{24} \times \frac{9}{4}$

• Multiply the Numerators: $48 \times 9 = 432$
• Multiply the Denominators: $24 \times 4 = 96$
• Form the New Fraction: $\frac{48}{24} \times \frac{4}{9} = \frac{432}{96}$

Let's Simplify $\frac{432}{96}$

• Find the Greatest Common Divisor (GCD) of $432$ and $96$. The GCD of $432$ and $96$ is $48$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 48}{96 \div 48} = \frac{9}{2}$

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

The following animation demonstrates the divide-by,