What is 85/34 Divided By 2/3

Solving $\frac{85}{34}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{34} \div \frac{2}{3} = \frac{85}{34} \times \frac{3}{2}$

• Multiply the Numerators: $85 \times 3 = 255$
• Multiply the Denominators: $34 \times 2 = 68$
• Form the New Fraction: $\frac{85}{34} \times \frac{2}{3} = \frac{255}{68}$

Let's Simplify $\frac{255}{68}$

• Find the Greatest Common Divisor (GCD) of $255$ and $68$. The GCD of $255$ and $68$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{255 \div 17}{68 \div 17} = \frac{15}{4}$

Answer $\frac{85}{34}\div\frac{2}{3} = \frac{15}{4}$

The following animation demonstrates the divide-by,