What is 72/99 Divided By 3/2

Solving $\frac{72}{99}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{99} \div \frac{3}{2} = \frac{72}{99} \times \frac{2}{3}$

• Multiply the Numerators: $72 \times 2 = 144$
• Multiply the Denominators: $99 \times 3 = 297$
• Form the New Fraction: $\frac{72}{99} \times \frac{3}{2} = \frac{144}{297}$

Let's Simplify $\frac{144}{297}$

• Find the Greatest Common Divisor (GCD) of $144$ and $297$. The GCD of $144$ and $297$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 9}{297 \div 9} = \frac{16}{33}$

Answer $\frac{72}{99}\div\frac{3}{2} = \frac{16}{33}$

The following animation demonstrates the divide-by,