What is 45/75 Divided By 3/2

Solving $\frac{45}{75}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{75} \div \frac{3}{2} = \frac{45}{75} \times \frac{2}{3}$

• Multiply the Numerators: $45 \times 2 = 90$
• Multiply the Denominators: $75 \times 3 = 225$
• Form the New Fraction: $\frac{45}{75} \times \frac{3}{2} = \frac{90}{225}$

Let's Simplify $\frac{90}{225}$

• Find the Greatest Common Divisor (GCD) of $90$ and $225$. The GCD of $90$ and $225$ is $45$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 45}{225 \div 45} = \frac{2}{5}$

Answer $\frac{45}{75}\div\frac{3}{2} = \frac{2}{5}$

The following animation demonstrates the divide-by,