What is 27/50 Divided By 1/6

Solving $\frac{27}{50}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{50} \div \frac{1}{6} = \frac{27}{50} \times \frac{6}{1}$

• Multiply the Numerators: $27 \times 6 = 162$
• Multiply the Denominators: $50 \times 1 = 50$
• Form the New Fraction: $\frac{27}{50} \times \frac{1}{6} = \frac{162}{50}$

Let's Simplify $\frac{162}{50}$

• Find the Greatest Common Divisor (GCD) of $162$ and $50$. The GCD of $162$ and $50$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{162 \div 2}{50 \div 2} = \frac{81}{25}$

Answer $\frac{27}{50}\div\frac{1}{6} = \frac{81}{25}$

The following animation demonstrates the divide-by,