What is 85/17 Divided By 3/2

Solving $\frac{85}{17}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{17} \div \frac{3}{2} = \frac{85}{17} \times \frac{2}{3}$

• Multiply the Numerators: $85 \times 2 = 170$
• Multiply the Denominators: $17 \times 3 = 51$
• Form the New Fraction: $\frac{85}{17} \times \frac{3}{2} = \frac{170}{51}$

Let's Simplify $\frac{170}{51}$

• Find the Greatest Common Divisor (GCD) of $170$ and $51$. The GCD of $170$ and $51$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{170 \div 17}{51 \div 17} = \frac{10}{3}$

Answer $\frac{85}{17}\div\frac{3}{2} = \frac{10}{3}$

The following animation demonstrates the divide-by,