What is 52/60 Divided By 1/5

Solving $\frac{52}{60}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{60} \div \frac{1}{5} = \frac{52}{60} \times \frac{5}{1}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $60 \times 1 = 60$
• Form the New Fraction: $\frac{52}{60} \times \frac{1}{5} = \frac{260}{60}$

Let's Simplify $\frac{260}{60}$

• Find the Greatest Common Divisor (GCD) of $260$ and $60$. The GCD of $260$ and $60$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 20}{60 \div 20} = \frac{13}{3}$

Answer $\frac{52}{60}\div\frac{1}{5} = \frac{13}{3}$

The following animation demonstrates the divide-by,