What is 17/35 Divided By 9/8

Solving $\frac{17}{35}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{35} \div \frac{9}{8} = \frac{17}{35} \times \frac{8}{9}$

• Multiply the Numerators: $17 \times 8 = 136$
• Multiply the Denominators: $35 \times 9 = 315$
• Form the New Fraction: $\frac{17}{35} \times \frac{9}{8} = \frac{136}{315}$

Simplify - Since $\frac{136}{315}$​ is already in its simplest form (there are no common factors between $136$ and $315$ other than $1$), this is the final answer.

Answer $\frac{17}{35}\div\frac{9}{8} = \frac{136}{315}$

The following animation demonstrates the divide-by,