What is 39/52 Divided By 3/2

Solving $\frac{39}{52}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{3}{2} = \frac{39}{52} \times \frac{2}{3}$

• Multiply the Numerators: $39 \times 2 = 78$
• Multiply the Denominators: $52 \times 3 = 156$
• Form the New Fraction: $\frac{39}{52} \times \frac{3}{2} = \frac{78}{156}$

Let's Simplify $\frac{78}{156}$

• Find the Greatest Common Divisor (GCD) of $78$ and $156$. The GCD of $78$ and $156$ is $78$.
• Divide both the numerator and the denominator by the GCD:$\frac{78 \div 78}{156 \div 78} = \frac{1}{2}$

Answer $\frac{39}{52}\div\frac{3}{2} = \frac{1}{2}$

The following animation demonstrates the divide-by,