What is 39/72 Divided By 3/2

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $39 \times 2 = 78$
• Multiply the Denominators: $72 \times 3 = 216$
• Form the New Fraction: $\frac{39}{72} \times \frac{3}{2} = \frac{78}{216}$

Let's Simplify $\frac{78}{216}$

• Find the Greatest Common Divisor (GCD) of $78$ and $216$. The GCD of $78$ and $216$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{78 \div 6}{216 \div 6} = \frac{13}{36}$

Answer $\frac{39}{72}\div\frac{3}{2} = \frac{13}{36}$

The following animation demonstrates the divide-by,