What is 38/26 Divided By 2/6

Solving $\frac{38}{26}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{26} \div \frac{2}{6} = \frac{38}{26} \times \frac{6}{2}$

• Multiply the Numerators: $38 \times 6 = 228$
• Multiply the Denominators: $26 \times 2 = 52$
• Form the New Fraction: $\frac{38}{26} \times \frac{2}{6} = \frac{228}{52}$

Let's Simplify $\frac{228}{52}$

• Find the Greatest Common Divisor (GCD) of $228$ and $52$. The GCD of $228$ and $52$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{228 \div 4}{52 \div 4} = \frac{57}{13}$

Answer $\frac{38}{26}\div\frac{2}{6} = \frac{57}{13}$

The following animation demonstrates the divide-by,