What is 17/22 Divided By 8/9

Solving $\frac{17}{22}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{22} \div \frac{8}{9} = \frac{17}{22} \times \frac{9}{8}$

• Multiply the Numerators: $17 \times 9 = 153$
• Multiply the Denominators: $22 \times 8 = 176$
• Form the New Fraction: $\frac{17}{22} \times \frac{8}{9} = \frac{153}{176}$

Simplify - Since $\frac{153}{176}$​ is already in its simplest form (there are no common factors between $153$ and $176$ other than $1$), this is the final answer.

Answer $\frac{17}{22}\div\frac{8}{9} = \frac{153}{176}$

The following animation demonstrates the divide-by,