What is 26/52 Divided By 2/5

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $26 \times 5 = 130$
• Multiply the Denominators: $52 \times 2 = 104$
• Form the New Fraction: $\frac{26}{52} \times \frac{2}{5} = \frac{130}{104}$

Let's Simplify $\frac{130}{104}$

• Find the Greatest Common Divisor (GCD) of $130$ and $104$. The GCD of $130$ and $104$ is $26$.
• Divide both the numerator and the denominator by the GCD:$\frac{130 \div 26}{104 \div 26} = \frac{5}{4}$

Answer $\frac{26}{52}\div\frac{2}{5} = \frac{5}{4}$

The following animation demonstrates the divide-by,