What is 72/11 Divided By 9/8

Solving $\frac{72}{11}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{11} \div \frac{9}{8} = \frac{72}{11} \times \frac{8}{9}$

• Multiply the Numerators: $72 \times 8 = 576$
• Multiply the Denominators: $11 \times 9 = 99$
• Form the New Fraction: $\frac{72}{11} \times \frac{9}{8} = \frac{576}{99}$

Let's Simplify $\frac{576}{99}$

• Find the Greatest Common Divisor (GCD) of $576$ and $99$. The GCD of $576$ and $99$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{576 \div 9}{99 \div 9} = \frac{64}{11}$

Answer $\frac{72}{11}\div\frac{9}{8} = \frac{64}{11}$

The following animation demonstrates the divide-by,