What is 52/61 Divided By 8/5

Solving $\frac{52}{61}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{61} \div \frac{8}{5} = \frac{52}{61} \times \frac{5}{8}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $61 \times 8 = 488$
• Form the New Fraction: $\frac{52}{61} \times \frac{8}{5} = \frac{260}{488}$

Let's Simplify $\frac{260}{488}$

• Find the Greatest Common Divisor (GCD) of $260$ and $488$. The GCD of $260$ and $488$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 4}{488 \div 4} = \frac{65}{122}$

Answer $\frac{52}{61}\div\frac{8}{5} = \frac{65}{122}$

The following animation demonstrates the divide-by,