What is 52/26 Divided By 2/5

Solving $\frac{52}{26}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{26} \div \frac{2}{5} = \frac{52}{26} \times \frac{5}{2}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $26 \times 2 = 52$
• Form the New Fraction: $\frac{52}{26} \times \frac{2}{5} = \frac{260}{52}$

Let's Simplify $\frac{260}{52}$

• Find the Greatest Common Divisor (GCD) of $260$ and $52$. The GCD of $260$ and $52$ is $52$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 52}{52 \div 52} = \frac{5}{1}$

Answer $\frac{52}{26}\div\frac{2}{5} = \frac{5}{1}$

The following animation demonstrates the divide-by,