What is 72/75 Divided By 3/2

Solving $\frac{72}{75}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{75} \div \frac{3}{2} = \frac{72}{75} \times \frac{2}{3}$

• Multiply the Numerators: $72 \times 2 = 144$
• Multiply the Denominators: $75 \times 3 = 225$
• Form the New Fraction: $\frac{72}{75} \times \frac{3}{2} = \frac{144}{225}$

Let's Simplify $\frac{144}{225}$

• Find the Greatest Common Divisor (GCD) of $144$ and $225$. The GCD of $144$ and $225$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 9}{225 \div 9} = \frac{16}{25}$

Answer $\frac{72}{75}\div\frac{3}{2} = \frac{16}{25}$

The following animation demonstrates the divide-by,