What is 88/75 Divided By 4/9

Solving $\frac{88}{75}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{75} \div \frac{4}{9} = \frac{88}{75} \times \frac{9}{4}$

• Multiply the Numerators: $88 \times 9 = 792$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{88}{75} \times \frac{4}{9} = \frac{792}{300}$

Let's Simplify $\frac{792}{300}$

• Find the Greatest Common Divisor (GCD) of $792$ and $300$. The GCD of $792$ and $300$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{792 \div 12}{300 \div 12} = \frac{66}{25}$

Answer $\frac{88}{75}\div\frac{4}{9} = \frac{66}{25}$

The following animation demonstrates the divide-by,