What is 85/12 Divided By 2/3

Solving $\frac{85}{12}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{12} \div \frac{2}{3} = \frac{85}{12} \times \frac{3}{2}$

• Multiply the Numerators: $85 \times 3 = 255$
• Multiply the Denominators: $12 \times 2 = 24$
• Form the New Fraction: $\frac{85}{12} \times \frac{2}{3} = \frac{255}{24}$

Let's Simplify $\frac{255}{24}$

• Find the Greatest Common Divisor (GCD) of $255$ and $24$. The GCD of $255$ and $24$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{255 \div 3}{24 \div 3} = \frac{85}{8}$

Answer $\frac{85}{12}\div\frac{2}{3} = \frac{85}{8}$

The following animation demonstrates the divide-by,