What is 17/19 Divided By 9/8

Solving $\frac{17}{19}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{19} \div \frac{9}{8} = \frac{17}{19} \times \frac{8}{9}$

• Multiply the Numerators: $17 \times 8 = 136$
• Multiply the Denominators: $19 \times 9 = 171$
• Form the New Fraction: $\frac{17}{19} \times \frac{9}{8} = \frac{136}{171}$

Simplify - Since $\frac{136}{171}$​ is already in its simplest form (there are no common factors between $136$ and $171$ other than $1$), this is the final answer.

Answer $\frac{17}{19}\div\frac{9}{8} = \frac{136}{171}$

The following animation demonstrates the divide-by,