What is 61/74 Divided By 6/7

Solving $\frac{61}{74}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{74} \div \frac{6}{7} = \frac{61}{74} \times \frac{7}{6}$

• Multiply the Numerators: $61 \times 7 = 427$
• Multiply the Denominators: $74 \times 6 = 444$
• Form the New Fraction: $\frac{61}{74} \times \frac{6}{7} = \frac{427}{444}$

Simplify - Since $\frac{427}{444}$​ is already in its simplest form (there are no common factors between $427$ and $444$ other than $1$), this is the final answer.

Answer $\frac{61}{74}\div\frac{6}{7} = \frac{427}{444}$

The following animation demonstrates the divide-by,