What is 85/70 Divided By 2/3

Solving $\frac{85}{70}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{70} \div \frac{2}{3} = \frac{85}{70} \times \frac{3}{2}$

• Multiply the Numerators: $85 \times 3 = 255$
• Multiply the Denominators: $70 \times 2 = 140$
• Form the New Fraction: $\frac{85}{70} \times \frac{2}{3} = \frac{255}{140}$

Let's Simplify $\frac{255}{140}$

• Find the Greatest Common Divisor (GCD) of $255$ and $140$. The GCD of $255$ and $140$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{255 \div 5}{140 \div 5} = \frac{51}{28}$

Answer $\frac{85}{70}\div\frac{2}{3} = \frac{51}{28}$

The following animation demonstrates the divide-by,