What is 75/89 Divided By 5/8

Solving $\frac{75}{89}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{89} \div \frac{5}{8} = \frac{75}{89} \times \frac{8}{5}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $89 \times 5 = 445$
• Form the New Fraction: $\frac{75}{89} \times \frac{5}{8} = \frac{600}{445}$

Let's Simplify $\frac{600}{445}$

• Find the Greatest Common Divisor (GCD) of $600$ and $445$. The GCD of $600$ and $445$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 5}{445 \div 5} = \frac{120}{89}$

Answer $\frac{75}{89}\div\frac{5}{8} = \frac{120}{89}$

The following animation demonstrates the divide-by,