What is 39/52 Divided By 9/2

Solving $\frac{39}{52}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{9}{2} = \frac{39}{52} \times \frac{2}{9}$

• Multiply the Numerators: $39 \times 2 = 78$
• Multiply the Denominators: $52 \times 9 = 468$
• Form the New Fraction: $\frac{39}{52} \times \frac{9}{2} = \frac{78}{468}$

Let's Simplify $\frac{78}{468}$

• Find the Greatest Common Divisor (GCD) of $78$ and $468$. The GCD of $78$ and $468$ is $78$.
• Divide both the numerator and the denominator by the GCD:$\frac{78 \div 78}{468 \div 78} = \frac{1}{6}$

Answer $\frac{39}{52}\div\frac{9}{2} = \frac{1}{6}$

The following animation demonstrates the divide-by,