What is 75/12 Divided By 3/2

Solving $\frac{75}{12}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{12} \div \frac{3}{2} = \frac{75}{12} \times \frac{2}{3}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $12 \times 3 = 36$
• Form the New Fraction: $\frac{75}{12} \times \frac{3}{2} = \frac{150}{36}$

Let's Simplify $\frac{150}{36}$

• Find the Greatest Common Divisor (GCD) of $150$ and $36$. The GCD of $150$ and $36$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 6}{36 \div 6} = \frac{25}{6}$

Answer $\frac{75}{12}\div\frac{3}{2} = \frac{25}{6}$

The following animation demonstrates the divide-by,