What is 75/81 Divided By 5/8

Solving $\frac{75}{81}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{81} \div \frac{5}{8} = \frac{75}{81} \times \frac{8}{5}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{75}{81} \times \frac{5}{8} = \frac{600}{405}$

Let's Simplify $\frac{600}{405}$

• Find the Greatest Common Divisor (GCD) of $600$ and $405$. The GCD of $600$ and $405$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 15}{405 \div 15} = \frac{40}{27}$

Answer $\frac{75}{81}\div\frac{5}{8} = \frac{40}{27}$

The following animation demonstrates the divide-by,