What is 75/61 Divided By 5/8

Solving $\frac{75}{61}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{61} \div \frac{5}{8} = \frac{75}{61} \times \frac{8}{5}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $61 \times 5 = 305$
• Form the New Fraction: $\frac{75}{61} \times \frac{5}{8} = \frac{600}{305}$

Let's Simplify $\frac{600}{305}$

• Find the Greatest Common Divisor (GCD) of $600$ and $305$. The GCD of $600$ and $305$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 5}{305 \div 5} = \frac{120}{61}$

Answer $\frac{75}{61}\div\frac{5}{8} = \frac{120}{61}$

The following animation demonstrates the divide-by,