What is 24/85 Divided By 1/6

Solving $\frac{24}{85}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{85} \div \frac{1}{6} = \frac{24}{85} \times \frac{6}{1}$

• Multiply the Numerators: $24 \times 6 = 144$
• Multiply the Denominators: $85 \times 1 = 85$
• Form the New Fraction: $\frac{24}{85} \times \frac{1}{6} = \frac{144}{85}$

Simplify - Since $\frac{144}{85}$​ is already in its simplest form (there are no common factors between $144$ and $85$ other than $1$), this is the final answer.

Answer $\frac{24}{85}\div\frac{1}{6} = \frac{144}{85}$

The following animation demonstrates the divide-by,