What is 76/52 Divided By 2/6

Solving $\frac{76}{52}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{52} \div \frac{2}{6} = \frac{76}{52} \times \frac{6}{2}$

• Multiply the Numerators: $76 \times 6 = 456$
• Multiply the Denominators: $52 \times 2 = 104$
• Form the New Fraction: $\frac{76}{52} \times \frac{2}{6} = \frac{456}{104}$

Let's Simplify $\frac{456}{104}$

• Find the Greatest Common Divisor (GCD) of $456$ and $104$. The GCD of $456$ and $104$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{456 \div 8}{104 \div 8} = \frac{57}{13}$

Answer $\frac{76}{52}\div\frac{2}{6} = \frac{57}{13}$

The following animation demonstrates the divide-by,