What is 27/60 Divided By 1/5

Solving $\frac{27}{60}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{60} \div \frac{1}{5} = \frac{27}{60} \times \frac{5}{1}$

• Multiply the Numerators: $27 \times 5 = 135$
• Multiply the Denominators: $60 \times 1 = 60$
• Form the New Fraction: $\frac{27}{60} \times \frac{1}{5} = \frac{135}{60}$

Let's Simplify $\frac{135}{60}$

• Find the Greatest Common Divisor (GCD) of $135$ and $60$. The GCD of $135$ and $60$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{135 \div 15}{60 \div 15} = \frac{9}{4}$

Answer $\frac{27}{60}\div\frac{1}{5} = \frac{9}{4}$

The following animation demonstrates the divide-by,