What is 39/54 Divided By 3/2

Solving $\frac{39}{54}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{54} \div \frac{3}{2} = \frac{39}{54} \times \frac{2}{3}$

• Multiply the Numerators: $39 \times 2 = 78$
• Multiply the Denominators: $54 \times 3 = 162$
• Form the New Fraction: $\frac{39}{54} \times \frac{3}{2} = \frac{78}{162}$

Let's Simplify $\frac{78}{162}$

• Find the Greatest Common Divisor (GCD) of $78$ and $162$. The GCD of $78$ and $162$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{78 \div 6}{162 \div 6} = \frac{13}{27}$

Answer $\frac{39}{54}\div\frac{3}{2} = \frac{13}{27}$

The following animation demonstrates the divide-by,