What is 52/75 Divided By 8/5

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,