What is 11/53 Divided By 2/9

Solving $\frac{11}{53}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{53} \div \frac{2}{9} = \frac{11}{53} \times \frac{9}{2}$

• Multiply the Numerators: $11 \times 9 = 99$
• Multiply the Denominators: $53 \times 2 = 106$
• Form the New Fraction: $\frac{11}{53} \times \frac{2}{9} = \frac{99}{106}$

Simplify - Since $\frac{99}{106}$​ is already in its simplest form (there are no common factors between $99$ and $106$ other than $1$), this is the final answer.

Answer $\frac{11}{53}\div\frac{2}{9} = \frac{99}{106}$

The following animation demonstrates the divide-by,