What is 61/83 Divided By 8/7

Solving $\frac{61}{83}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{83} \div \frac{8}{7} = \frac{61}{83} \times \frac{7}{8}$

• Multiply the Numerators: $61 \times 7 = 427$
• Multiply the Denominators: $83 \times 8 = 664$
• Form the New Fraction: $\frac{61}{83} \times \frac{8}{7} = \frac{427}{664}$

Simplify - Since $\frac{427}{664}$​ is already in its simplest form (there are no common factors between $427$ and $664$ other than $1$), this is the final answer.

Answer $\frac{61}{83}\div\frac{8}{7} = \frac{427}{664}$

The following animation demonstrates the divide-by,