What is 52/75 Divided By 2/5

Solving $\frac{52}{75}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{75} \div \frac{2}{5} = \frac{52}{75} \times \frac{5}{2}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{52}{75} \times \frac{2}{5} = \frac{260}{150}$

Let's Simplify $\frac{260}{150}$

• Find the Greatest Common Divisor (GCD) of $260$ and $150$. The GCD of $260$ and $150$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 10}{150 \div 10} = \frac{26}{15}$

Answer $\frac{52}{75}\div\frac{2}{5} = \frac{26}{15}$

The following animation demonstrates the divide-by,