What is 85/18 Divided By 2/3

Solving $\frac{85}{18}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{18} \div \frac{2}{3} = \frac{85}{18} \times \frac{3}{2}$

• Multiply the Numerators: $85 \times 3 = 255$
• Multiply the Denominators: $18 \times 2 = 36$
• Form the New Fraction: $\frac{85}{18} \times \frac{2}{3} = \frac{255}{36}$

Let's Simplify $\frac{255}{36}$

• Find the Greatest Common Divisor (GCD) of $255$ and $36$. The GCD of $255$ and $36$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{255 \div 3}{36 \div 3} = \frac{85}{12}$

Answer $\frac{85}{18}\div\frac{2}{3} = \frac{85}{12}$

The following animation demonstrates the divide-by,