What is 27/75 Divided By 1/6

Solving $\frac{27}{75}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{75} \div \frac{1}{6} = \frac{27}{75} \times \frac{6}{1}$

• Multiply the Numerators: $27 \times 6 = 162$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{27}{75} \times \frac{1}{6} = \frac{162}{75}$

Let's Simplify $\frac{162}{75}$

• Find the Greatest Common Divisor (GCD) of $162$ and $75$. The GCD of $162$ and $75$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{162 \div 3}{75 \div 3} = \frac{54}{25}$

Answer $\frac{27}{75}\div\frac{1}{6} = \frac{54}{25}$

The following animation demonstrates the divide-by,