What is 85/17 Divided By 9/4

Solving $\frac{85}{17}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{17} \div \frac{9}{4} = \frac{85}{17} \times \frac{4}{9}$

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $17 \times 9 = 153$
• Form the New Fraction: $\frac{85}{17} \times \frac{9}{4} = \frac{340}{153}$

Let's Simplify $\frac{340}{153}$

• Find the Greatest Common Divisor (GCD) of $340$ and $153$. The GCD of $340$ and $153$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{340 \div 17}{153 \div 17} = \frac{20}{9}$

Answer $\frac{85}{17}\div\frac{9}{4} = \frac{20}{9}$

The following animation demonstrates the divide-by,