What is 17/75 Divided By 6/7

Solving $\frac{17}{75}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{75} \div \frac{6}{7} = \frac{17}{75} \times \frac{7}{6}$

• Multiply the Numerators: $17 \times 7 = 119$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{17}{75} \times \frac{6}{7} = \frac{119}{450}$

Simplify - Since $\frac{119}{450}$​ is already in its simplest form (there are no common factors between $119$ and $450$ other than $1$), this is the final answer.

Answer $\frac{17}{75}\div\frac{6}{7} = \frac{119}{450}$

The following animation demonstrates the divide-by,