What is 61/53 Divided By 6/7

Solving $\frac{61}{53}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{53} \div \frac{6}{7} = \frac{61}{53} \times \frac{7}{6}$

• Multiply the Numerators: $61 \times 7 = 427$
• Multiply the Denominators: $53 \times 6 = 318$
• Form the New Fraction: $\frac{61}{53} \times \frac{6}{7} = \frac{427}{318}$

Simplify - Since $\frac{427}{318}$​ is already in its simplest form (there are no common factors between $427$ and $318$ other than $1$), this is the final answer.

Answer $\frac{61}{53}\div\frac{6}{7} = \frac{427}{318}$

The following animation demonstrates the divide-by,