What is 52/39 Divided By 4/5

Solving $\frac{52}{39}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{39} \div \frac{4}{5} = \frac{52}{39} \times \frac{5}{4}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $39 \times 4 = 156$
• Form the New Fraction: $\frac{52}{39} \times \frac{4}{5} = \frac{260}{156}$

Let's Simplify $\frac{260}{156}$

• Find the Greatest Common Divisor (GCD) of $260$ and $156$. The GCD of $260$ and $156$ is $52$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 52}{156 \div 52} = \frac{5}{3}$

Answer $\frac{52}{39}\div\frac{4}{5} = \frac{5}{3}$

The following animation demonstrates the divide-by,