What is 72/39 Divided By 3/2

Solving $\frac{72}{39}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{39} \div \frac{3}{2} = \frac{72}{39} \times \frac{2}{3}$

• Multiply the Numerators: $72 \times 2 = 144$
• Multiply the Denominators: $39 \times 3 = 117$
• Form the New Fraction: $\frac{72}{39} \times \frac{3}{2} = \frac{144}{117}$

Let's Simplify $\frac{144}{117}$

• Find the Greatest Common Divisor (GCD) of $144$ and $117$. The GCD of $144$ and $117$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 9}{117 \div 9} = \frac{16}{13}$

Answer $\frac{72}{39}\div\frac{3}{2} = \frac{16}{13}$

The following animation demonstrates the divide-by,