What is 85/17 Divided By 2/3

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $85 \times 3 = 255$
• Multiply the Denominators: $17 \times 2 = 34$
• Form the New Fraction: $\frac{85}{17} \times \frac{2}{3} = \frac{255}{34}$

Let's Simplify $\frac{255}{34}$

• Find the Greatest Common Divisor (GCD) of $255$ and $34$. The GCD of $255$ and $34$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{255 \div 17}{34 \div 17} = \frac{15}{2}$

Answer $\frac{85}{17}\div\frac{2}{3} = \frac{15}{2}$

The following animation demonstrates the divide-by,