What is 74/66 Divided By 2/3

Solving $\frac{74}{66}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{66} \div \frac{2}{3} = \frac{74}{66} \times \frac{3}{2}$

• Multiply the Numerators: $74 \times 3 = 222$
• Multiply the Denominators: $66 \times 2 = 132$
• Form the New Fraction: $\frac{74}{66} \times \frac{2}{3} = \frac{222}{132}$

Let's Simplify $\frac{222}{132}$

• Find the Greatest Common Divisor (GCD) of $222$ and $132$. The GCD of $222$ and $132$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{222 \div 6}{132 \div 6} = \frac{37}{22}$

Answer $\frac{74}{66}\div\frac{2}{3} = \frac{37}{22}$

The following animation demonstrates the divide-by,