What is 52/39 Divided By 2/5

Solving $\frac{52}{39}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{39} \div \frac{2}{5} = \frac{52}{39} \times \frac{5}{2}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $39 \times 2 = 78$
• Form the New Fraction: $\frac{52}{39} \times \frac{2}{5} = \frac{260}{78}$

Let's Simplify $\frac{260}{78}$

• Find the Greatest Common Divisor (GCD) of $260$ and $78$. The GCD of $260$ and $78$ is $26$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 26}{78 \div 26} = \frac{10}{3}$

Answer $\frac{52}{39}\div\frac{2}{5} = \frac{10}{3}$

The following animation demonstrates the divide-by,