What is 85/53 Divided By 1/6

Solving $\frac{85}{53}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{53} \div \frac{1}{6} = \frac{85}{53} \times \frac{6}{1}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $53 \times 1 = 53$
• Form the New Fraction: $\frac{85}{53} \times \frac{1}{6} = \frac{510}{53}$

Simplify - Since $\frac{510}{53}$​ is already in its simplest form (there are no common factors between $510$ and $53$ other than $1$), this is the final answer.

Answer $\frac{85}{53}\div\frac{1}{6} = \frac{510}{53}$

The following animation demonstrates the divide-by,