What is 72/45 Divided By 9/8

Solving $\frac{72}{45}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{45} \div \frac{9}{8} = \frac{72}{45} \times \frac{8}{9}$

• Multiply the Numerators: $72 \times 8 = 576$
• Multiply the Denominators: $45 \times 9 = 405$
• Form the New Fraction: $\frac{72}{45} \times \frac{9}{8} = \frac{576}{405}$

Let's Simplify $\frac{576}{405}$

• Find the Greatest Common Divisor (GCD) of $576$ and $405$. The GCD of $576$ and $405$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{576 \div 9}{405 \div 9} = \frac{64}{45}$

Answer $\frac{72}{45}\div\frac{9}{8} = \frac{64}{45}$

The following animation demonstrates the divide-by,