What is 52/74 Divided By 1/5

Solving $\frac{52}{74}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{74} \div \frac{1}{5} = \frac{52}{74} \times \frac{5}{1}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $74 \times 1 = 74$
• Form the New Fraction: $\frac{52}{74} \times \frac{1}{5} = \frac{260}{74}$

Let's Simplify $\frac{260}{74}$

• Find the Greatest Common Divisor (GCD) of $260$ and $74$. The GCD of $260$ and $74$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 2}{74 \div 2} = \frac{130}{37}$

Answer $\frac{52}{74}\div\frac{1}{5} = \frac{130}{37}$

The following animation demonstrates the divide-by,