What is 83/52 Divided By 8/9

Solving $\frac{83}{52}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{52} \div \frac{8}{9} = \frac{83}{52} \times \frac{9}{8}$

• Multiply the Numerators: $83 \times 9 = 747$
• Multiply the Denominators: $52 \times 8 = 416$
• Form the New Fraction: $\frac{83}{52} \times \frac{8}{9} = \frac{747}{416}$

Simplify - Since $\frac{747}{416}$​ is already in its simplest form (there are no common factors between $747$ and $416$ other than $1$), this is the final answer.

Answer $\frac{83}{52}\div\frac{8}{9} = \frac{747}{416}$

The following animation demonstrates the divide-by,