What is 39/52 Divided By 2/3

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $39 \times 3 = 117$
• Multiply the Denominators: $52 \times 2 = 104$
• Form the New Fraction: $\frac{39}{52} \times \frac{2}{3} = \frac{117}{104}$

Let's Simplify $\frac{117}{104}$

• Find the Greatest Common Divisor (GCD) of $117$ and $104$. The GCD of $117$ and $104$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{117 \div 13}{104 \div 13} = \frac{9}{8}$

Answer $\frac{39}{52}\div\frac{2}{3} = \frac{9}{8}$

The following animation demonstrates the divide-by,