What is 46/61 Divided By 1/6

Solving $\frac{46}{61}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{61} \div \frac{1}{6} = \frac{46}{61} \times \frac{6}{1}$

• Multiply the Numerators: $46 \times 6 = 276$
• Multiply the Denominators: $61 \times 1 = 61$
• Form the New Fraction: $\frac{46}{61} \times \frac{1}{6} = \frac{276}{61}$

Simplify - Since $\frac{276}{61}$​ is already in its simplest form (there are no common factors between $276$ and $61$ other than $1$), this is the final answer.

Answer $\frac{46}{61}\div\frac{1}{6} = \frac{276}{61}$

The following animation demonstrates the divide-by,