What is 75/17 Divided By 1/6

Solving $\frac{75}{17}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{17} \div \frac{1}{6} = \frac{75}{17} \times \frac{6}{1}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $17 \times 1 = 17$
• Form the New Fraction: $\frac{75}{17} \times \frac{1}{6} = \frac{450}{17}$

Simplify - Since $\frac{450}{17}$​ is already in its simplest form (there are no common factors between $450$ and $17$ other than $1$), this is the final answer.

Answer $\frac{75}{17}\div\frac{1}{6} = \frac{450}{17}$

The following animation demonstrates the divide-by,