What is 85/34 Divided By 9/2

Solving $\frac{85}{34}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{34} \div \frac{9}{2} = \frac{85}{34} \times \frac{2}{9}$

• Multiply the Numerators: $85 \times 2 = 170$
• Multiply the Denominators: $34 \times 9 = 306$
• Form the New Fraction: $\frac{85}{34} \times \frac{9}{2} = \frac{170}{306}$

Let's Simplify $\frac{170}{306}$

• Find the Greatest Common Divisor (GCD) of $170$ and $306$. The GCD of $170$ and $306$ is $34$.
• Divide both the numerator and the denominator by the GCD:$\frac{170 \div 34}{306 \div 34} = \frac{5}{9}$

Answer $\frac{85}{34}\div\frac{9}{2} = \frac{5}{9}$

The following animation demonstrates the divide-by,