What is 50/75 Divided By 3/2

Solving $\frac{50}{75}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{75} \div \frac{3}{2} = \frac{50}{75} \times \frac{2}{3}$

• Multiply the Numerators: $50 \times 2 = 100$
• Multiply the Denominators: $75 \times 3 = 225$
• Form the New Fraction: $\frac{50}{75} \times \frac{3}{2} = \frac{100}{225}$

Let's Simplify $\frac{100}{225}$

• Find the Greatest Common Divisor (GCD) of $100$ and $225$. The GCD of $100$ and $225$ is $25$.
• Divide both the numerator and the denominator by the GCD:$\frac{100 \div 25}{225 \div 25} = \frac{4}{9}$

Answer $\frac{50}{75}\div\frac{3}{2} = \frac{4}{9}$

The following animation demonstrates the divide-by,