What is 61/46 Divided By 8/9

Solving $\frac{61}{46}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{46} \div \frac{8}{9} = \frac{61}{46} \times \frac{9}{8}$

• Multiply the Numerators: $61 \times 9 = 549$
• Multiply the Denominators: $46 \times 8 = 368$
• Form the New Fraction: $\frac{61}{46} \times \frac{8}{9} = \frac{549}{368}$

Simplify - Since $\frac{549}{368}$​ is already in its simplest form (there are no common factors between $549$ and $368$ other than $1$), this is the final answer.

Answer $\frac{61}{46}\div\frac{8}{9} = \frac{549}{368}$

The following animation demonstrates the divide-by,