What is 72/93 Divided By 3/2

Solving $\frac{72}{93}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{93} \div \frac{3}{2} = \frac{72}{93} \times \frac{2}{3}$

• Multiply the Numerators: $72 \times 2 = 144$
• Multiply the Denominators: $93 \times 3 = 279$
• Form the New Fraction: $\frac{72}{93} \times \frac{3}{2} = \frac{144}{279}$

Let's Simplify $\frac{144}{279}$

• Find the Greatest Common Divisor (GCD) of $144$ and $279$. The GCD of $144$ and $279$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 9}{279 \div 9} = \frac{16}{31}$

Answer $\frac{72}{93}\div\frac{3}{2} = \frac{16}{31}$

The following animation demonstrates the divide-by,