What is 61/83 Divided By 5/9

Solving $\frac{61}{83}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{83} \div \frac{5}{9} = \frac{61}{83} \times \frac{9}{5}$

• Multiply the Numerators: $61 \times 9 = 549$
• Multiply the Denominators: $83 \times 5 = 415$
• Form the New Fraction: $\frac{61}{83} \times \frac{5}{9} = \frac{549}{415}$

Simplify - Since $\frac{549}{415}$​ is already in its simplest form (there are no common factors between $549$ and $415$ other than $1$), this is the final answer.

Answer $\frac{61}{83}\div\frac{5}{9} = \frac{549}{415}$

The following animation demonstrates the divide-by,