What is 39/52 Divided By 2/6

Solving $\frac{39}{52}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{2}{6} = \frac{39}{52} \times \frac{6}{2}$

• Multiply the Numerators: $39 \times 6 = 234$
• Multiply the Denominators: $52 \times 2 = 104$
• Form the New Fraction: $\frac{39}{52} \times \frac{2}{6} = \frac{234}{104}$

Let's Simplify $\frac{234}{104}$

• Find the Greatest Common Divisor (GCD) of $234$ and $104$. The GCD of $234$ and $104$ is $26$.
• Divide both the numerator and the denominator by the GCD:$\frac{234 \div 26}{104 \div 26} = \frac{9}{4}$

Answer $\frac{39}{52}\div\frac{2}{6} = \frac{9}{4}$

The following animation demonstrates the divide-by,