What is 72/81 Divided By 5/8

Solving $\frac{72}{81}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{81} \div \frac{5}{8} = \frac{72}{81} \times \frac{8}{5}$

• Multiply the Numerators: $72 \times 8 = 576$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{72}{81} \times \frac{5}{8} = \frac{576}{405}$

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 $\frac{72}{81}\div\frac{5}{8} = \frac{64}{45}$

The following animation demonstrates the divide-by,