What is 85/45 Divided By 2/3

Solving $\frac{85}{45}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{45} \div \frac{2}{3} = \frac{85}{45} \times \frac{3}{2}$

• Multiply the Numerators: $85 \times 3 = 255$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{85}{45} \times \frac{2}{3} = \frac{255}{90}$

Let's Simplify $\frac{255}{90}$

• Find the Greatest Common Divisor (GCD) of $255$ and $90$. The GCD of $255$ and $90$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{255 \div 15}{90 \div 15} = \frac{17}{6}$

Answer $\frac{85}{45}\div\frac{2}{3} = \frac{17}{6}$

The following animation demonstrates the divide-by,