What is 85/17 Divided By 9/8

Solving $\frac{85}{17}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{17} \div \frac{9}{8} = \frac{85}{17} \times \frac{8}{9}$

• Multiply the Numerators: $85 \times 8 = 680$
• Multiply the Denominators: $17 \times 9 = 153$
• Form the New Fraction: $\frac{85}{17} \times \frac{9}{8} = \frac{680}{153}$

Let's Simplify $\frac{680}{153}$

• Find the Greatest Common Divisor (GCD) of $680$ and $153$. The GCD of $680$ and $153$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{680 \div 17}{153 \div 17} = \frac{40}{9}$

Answer $\frac{85}{17}\div\frac{9}{8} = \frac{40}{9}$

The following animation demonstrates the divide-by,