What is 46/57 Divided By 1/5

Solving $\frac{46}{57}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{57} \div \frac{1}{5} = \frac{46}{57} \times \frac{5}{1}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $57 \times 1 = 57$
• Form the New Fraction: $\frac{46}{57} \times \frac{1}{5} = \frac{230}{57}$

Simplify - Since $\frac{230}{57}$​ is already in its simplest form (there are no common factors between $230$ and $57$ other than $1$), this is the final answer.

Answer $\frac{46}{57}\div\frac{1}{5} = \frac{230}{57}$

The following animation demonstrates the divide-by,