What is 34/38 Divided By 2/6

Solving $\frac{34}{38}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{38} \div \frac{2}{6} = \frac{34}{38} \times \frac{6}{2}$

• Multiply the Numerators: $34 \times 6 = 204$
• Multiply the Denominators: $38 \times 2 = 76$
• Form the New Fraction: $\frac{34}{38} \times \frac{2}{6} = \frac{204}{76}$

Let's Simplify $\frac{204}{76}$

• Find the Greatest Common Divisor (GCD) of $204$ and $76$. The GCD of $204$ and $76$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{204 \div 4}{76 \div 4} = \frac{51}{19}$

Answer $\frac{34}{38}\div\frac{2}{6} = \frac{51}{19}$

The following animation demonstrates the divide-by,