What is 61/83 Divided By 6/7

Solving $\frac{61}{83}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{83} \div \frac{6}{7} = \frac{61}{83} \times \frac{7}{6}$

• Multiply the Numerators: $61 \times 7 = 427$
• Multiply the Denominators: $83 \times 6 = 498$
• Form the New Fraction: $\frac{61}{83} \times \frac{6}{7} = \frac{427}{498}$

Simplify - Since $\frac{427}{498}$​ is already in its simplest form (there are no common factors between $427$ and $498$ other than $1$), this is the final answer.

Answer $\frac{61}{83}\div\frac{6}{7} = \frac{427}{498}$

The following animation demonstrates the divide-by,