What is 26/17 Divided By 1/5

Solving $\frac{26}{17}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{17} \div \frac{1}{5} = \frac{26}{17} \times \frac{5}{1}$

• Multiply the Numerators: $26 \times 5 = 130$
• Multiply the Denominators: $17 \times 1 = 17$
• Form the New Fraction: $\frac{26}{17} \times \frac{1}{5} = \frac{130}{17}$

Simplify - Since $\frac{130}{17}$​ is already in its simplest form (there are no common factors between $130$ and $17$ other than $1$), this is the final answer.

Answer $\frac{26}{17}\div\frac{1}{5} = \frac{130}{17}$

The following animation demonstrates the divide-by,