What is 88/52 Divided By 4/9

Solving $\frac{88}{52}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{52} \div \frac{4}{9} = \frac{88}{52} \times \frac{9}{4}$

• Multiply the Numerators: $88 \times 9 = 792$
• Multiply the Denominators: $52 \times 4 = 208$
• Form the New Fraction: $\frac{88}{52} \times \frac{4}{9} = \frac{792}{208}$

Let's Simplify $\frac{792}{208}$

• Find the Greatest Common Divisor (GCD) of $792$ and $208$. The GCD of $792$ and $208$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{792 \div 8}{208 \div 8} = \frac{99}{26}$

Answer $\frac{88}{52}\div\frac{4}{9} = \frac{99}{26}$

The following animation demonstrates the divide-by,