What is 75/52 Divided By 5/8

Solving $\frac{75}{52}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{52} \div \frac{5}{8} = \frac{75}{52} \times \frac{8}{5}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{75}{52} \times \frac{5}{8} = \frac{600}{260}$

Let's Simplify $\frac{600}{260}$

• Find the Greatest Common Divisor (GCD) of $600$ and $260$. The GCD of $600$ and $260$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 20}{260 \div 20} = \frac{30}{13}$

Answer $\frac{75}{52}\div\frac{5}{8} = \frac{30}{13}$

The following animation demonstrates the divide-by,