What is 72/26 Divided By 3/2

Solving $\frac{72}{26}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{26} \div \frac{3}{2} = \frac{72}{26} \times \frac{2}{3}$

• Multiply the Numerators: $72 \times 2 = 144$
• Multiply the Denominators: $26 \times 3 = 78$
• Form the New Fraction: $\frac{72}{26} \times \frac{3}{2} = \frac{144}{78}$

Let's Simplify $\frac{144}{78}$

• Find the Greatest Common Divisor (GCD) of $144$ and $78$. The GCD of $144$ and $78$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 6}{78 \div 6} = \frac{24}{13}$

Answer $\frac{72}{26}\div\frac{3}{2} = \frac{24}{13}$

The following animation demonstrates the divide-by,