What is 72/75 Divided By 8/9

Solving $\frac{72}{75}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{75} \div \frac{8}{9} = \frac{72}{75} \times \frac{9}{8}$

• Multiply the Numerators: $72 \times 9 = 648$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{72}{75} \times \frac{8}{9} = \frac{648}{600}$

Let's Simplify $\frac{648}{600}$

• Find the Greatest Common Divisor (GCD) of $648$ and $600$. The GCD of $648$ and $600$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{648 \div 24}{600 \div 24} = \frac{27}{25}$

Answer $\frac{72}{75}\div\frac{8}{9} = \frac{27}{25}$

The following animation demonstrates the divide-by,