What is 52/53 Divided By 8/5

Solving $\frac{52}{53}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{53} \div \frac{8}{5} = \frac{52}{53} \times \frac{5}{8}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $53 \times 8 = 424$
• Form the New Fraction: $\frac{52}{53} \times \frac{8}{5} = \frac{260}{424}$

Let's Simplify $\frac{260}{424}$

• Find the Greatest Common Divisor (GCD) of $260$ and $424$. The GCD of $260$ and $424$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 4}{424 \div 4} = \frac{65}{106}$

Answer $\frac{52}{53}\div\frac{8}{5} = \frac{65}{106}$

The following animation demonstrates the divide-by,