What is 11/89 Divided By 4/9

Solving $\frac{11}{89}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{89} \div \frac{4}{9} = \frac{11}{89} \times \frac{9}{4}$

• Multiply the Numerators: $11 \times 9 = 99$
• Multiply the Denominators: $89 \times 4 = 356$
• Form the New Fraction: $\frac{11}{89} \times \frac{4}{9} = \frac{99}{356}$

Simplify - Since $\frac{99}{356}$​ is already in its simplest form (there are no common factors between $99$ and $356$ other than $1$), this is the final answer.

Answer $\frac{11}{89}\div\frac{4}{9} = \frac{99}{356}$

The following animation demonstrates the divide-by,