What is 85/35 Divided By 2/3

Solving $\frac{85}{35}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{35} \div \frac{2}{3} = \frac{85}{35} \times \frac{3}{2}$

• Multiply the Numerators: $85 \times 3 = 255$
• Multiply the Denominators: $35 \times 2 = 70$
• Form the New Fraction: $\frac{85}{35} \times \frac{2}{3} = \frac{255}{70}$

Let's Simplify $\frac{255}{70}$

• Find the Greatest Common Divisor (GCD) of $255$ and $70$. The GCD of $255$ and $70$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{255 \div 5}{70 \div 5} = \frac{51}{14}$

Answer $\frac{85}{35}\div\frac{2}{3} = \frac{51}{14}$

The following animation demonstrates the divide-by,