What is 85/42 Divided By 2/3

Solving $\frac{85}{42}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{42} \div \frac{2}{3} = \frac{85}{42} \times \frac{3}{2}$

• Multiply the Numerators: $85 \times 3 = 255$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{85}{42} \times \frac{2}{3} = \frac{255}{84}$

Let's Simplify $\frac{255}{84}$

• Find the Greatest Common Divisor (GCD) of $255$ and $84$. The GCD of $255$ and $84$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{255 \div 3}{84 \div 3} = \frac{85}{28}$

Answer $\frac{85}{42}\div\frac{2}{3} = \frac{85}{28}$

The following animation demonstrates the divide-by,