What is 72/88 Divided By 3/2

Solving $\frac{72}{88}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{88} \div \frac{3}{2} = \frac{72}{88} \times \frac{2}{3}$

• Multiply the Numerators: $72 \times 2 = 144$
• Multiply the Denominators: $88 \times 3 = 264$
• Form the New Fraction: $\frac{72}{88} \times \frac{3}{2} = \frac{144}{264}$

Let's Simplify $\frac{144}{264}$

• Find the Greatest Common Divisor (GCD) of $144$ and $264$. The GCD of $144$ and $264$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 24}{264 \div 24} = \frac{6}{11}$

Answer $\frac{72}{88}\div\frac{3}{2} = \frac{6}{11}$

The following animation demonstrates the divide-by,