What is 74/12 Divided By 3/2

Solving $\frac{74}{12}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{12} \div \frac{3}{2} = \frac{74}{12} \times \frac{2}{3}$

• Multiply the Numerators: $74 \times 2 = 148$
• Multiply the Denominators: $12 \times 3 = 36$
• Form the New Fraction: $\frac{74}{12} \times \frac{3}{2} = \frac{148}{36}$

Let's Simplify $\frac{148}{36}$

• Find the Greatest Common Divisor (GCD) of $148$ and $36$. The GCD of $148$ and $36$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{148 \div 4}{36 \div 4} = \frac{37}{9}$

Answer $\frac{74}{12}\div\frac{3}{2} = \frac{37}{9}$

The following animation demonstrates the divide-by,