What is 48/22 Divided By 4/9

Solving $\frac{48}{22}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{22} \div \frac{4}{9} = \frac{48}{22} \times \frac{9}{4}$

• Multiply the Numerators: $48 \times 9 = 432$
• Multiply the Denominators: $22 \times 4 = 88$
• Form the New Fraction: $\frac{48}{22} \times \frac{4}{9} = \frac{432}{88}$

Let's Simplify $\frac{432}{88}$

• Find the Greatest Common Divisor (GCD) of $432$ and $88$. The GCD of $432$ and $88$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 8}{88 \div 8} = \frac{54}{11}$

Answer $\frac{48}{22}\div\frac{4}{9} = \frac{54}{11}$

The following animation demonstrates the divide-by,