What is 75/85 Divided By 3/2

Solving $\frac{75}{85}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{85} \div \frac{3}{2} = \frac{75}{85} \times \frac{2}{3}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{75}{85} \times \frac{3}{2} = \frac{150}{255}$

Let's Simplify $\frac{150}{255}$

• Find the Greatest Common Divisor (GCD) of $150$ and $255$. The GCD of $150$ and $255$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 15}{255 \div 15} = \frac{10}{17}$

Answer $\frac{75}{85}\div\frac{3}{2} = \frac{10}{17}$

The following animation demonstrates the divide-by,