What is 72/24 Divided By 9/8

Solving $\frac{72}{24}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{24} \div \frac{9}{8} = \frac{72}{24} \times \frac{8}{9}$

• Multiply the Numerators: $72 \times 8 = 576$
• Multiply the Denominators: $24 \times 9 = 216$
• Form the New Fraction: $\frac{72}{24} \times \frac{9}{8} = \frac{576}{216}$

Let's Simplify $\frac{576}{216}$

• Find the Greatest Common Divisor (GCD) of $576$ and $216$. The GCD of $576$ and $216$ is $72$.
• Divide both the numerator and the denominator by the GCD:$\frac{576 \div 72}{216 \div 72} = \frac{8}{3}$

Answer $\frac{72}{24}\div\frac{9}{8} = \frac{8}{3}$

The following animation demonstrates the divide-by,