What is 34/81 Divided By 1/5

Solving $\frac{34}{81}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{81} \div \frac{1}{5} = \frac{34}{81} \times \frac{5}{1}$

• Multiply the Numerators: $34 \times 5 = 170$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{34}{81} \times \frac{1}{5} = \frac{170}{81}$

Simplify - Since $\frac{170}{81}$​ is already in its simplest form (there are no common factors between $170$ and $81$ other than $1$), this is the final answer.

Answer $\frac{34}{81}\div\frac{1}{5} = \frac{170}{81}$

The following animation demonstrates the divide-by,