What is 74/85 Divided By 2/3

Solving $\frac{74}{85}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{85} \div \frac{2}{3} = \frac{74}{85} \times \frac{3}{2}$

• Multiply the Numerators: $74 \times 3 = 222$
• Multiply the Denominators: $85 \times 2 = 170$
• Form the New Fraction: $\frac{74}{85} \times \frac{2}{3} = \frac{222}{170}$

Let's Simplify $\frac{222}{170}$

• Find the Greatest Common Divisor (GCD) of $222$ and $170$. The GCD of $222$ and $170$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{222 \div 2}{170 \div 2} = \frac{111}{85}$

Answer $\frac{74}{85}\div\frac{2}{3} = \frac{111}{85}$

The following animation demonstrates the divide-by,