What is 26/52 Divided By 1/5

Solving $\frac{26}{52}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{52} \div \frac{1}{5} = \frac{26}{52} \times \frac{5}{1}$

• Multiply the Numerators: $26 \times 5 = 130$
• Multiply the Denominators: $52 \times 1 = 52$
• Form the New Fraction: $\frac{26}{52} \times \frac{1}{5} = \frac{130}{52}$

Let's Simplify $\frac{130}{52}$

• Find the Greatest Common Divisor (GCD) of $130$ and $52$. The GCD of $130$ and $52$ is $26$.
• Divide both the numerator and the denominator by the GCD:$\frac{130 \div 26}{52 \div 26} = \frac{5}{2}$

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

The following animation demonstrates the divide-by,