What is 22/53 Divided By 5/9

Solving $\frac{22}{53}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{53} \div \frac{5}{9} = \frac{22}{53} \times \frac{9}{5}$

• Multiply the Numerators: $22 \times 9 = 198$
• Multiply the Denominators: $53 \times 5 = 265$
• Form the New Fraction: $\frac{22}{53} \times \frac{5}{9} = \frac{198}{265}$

Simplify - Since $\frac{198}{265}$​ is already in its simplest form (there are no common factors between $198$ and $265$ other than $1$), this is the final answer.

Answer $\frac{22}{53}\div\frac{5}{9} = \frac{198}{265}$

The following animation demonstrates the divide-by,