What is 17/61 Divided By 1/6

Solving $\frac{17}{61}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{61} \div \frac{1}{6} = \frac{17}{61} \times \frac{6}{1}$

• Multiply the Numerators: $17 \times 6 = 102$
• Multiply the Denominators: $61 \times 1 = 61$
• Form the New Fraction: $\frac{17}{61} \times \frac{1}{6} = \frac{102}{61}$

Simplify - Since $\frac{102}{61}$​ is already in its simplest form (there are no common factors between $102$ and $61$ other than $1$), this is the final answer.

Answer $\frac{17}{61}\div\frac{1}{6} = \frac{102}{61}$

The following animation demonstrates the divide-by,