What is 39/52 Divided By 1/3

Solving $\frac{39}{52}\div\frac{1}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{1}{3} = \frac{39}{52} \times \frac{3}{1}$

• Multiply the Numerators: $39 \times 3 = 117$
• Multiply the Denominators: $52 \times 1 = 52$
• Form the New Fraction: $\frac{39}{52} \times \frac{1}{3} = \frac{117}{52}$

Let's Simplify $\frac{117}{52}$

• Find the Greatest Common Divisor (GCD) of $117$ and $52$. The GCD of $117$ and $52$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{117 \div 13}{52 \div 13} = \frac{9}{4}$

Answer $\frac{39}{52}\div\frac{1}{3} = \frac{9}{4}$

The following animation demonstrates the divide-by,