What is 75/85 Divided By 2/3

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $75 \times 3 = 225$
• Multiply the Denominators: $85 \times 2 = 170$
• Form the New Fraction: $\frac{75}{85} \times \frac{2}{3} = \frac{225}{170}$

Let's Simplify $\frac{225}{170}$

• Find the Greatest Common Divisor (GCD) of $225$ and $170$. The GCD of $225$ and $170$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 5}{170 \div 5} = \frac{45}{34}$

Answer $\frac{75}{85}\div\frac{2}{3} = \frac{45}{34}$

The following animation demonstrates the divide-by,