What is 17/34 Divided By 2/6

Solving $\frac{17}{34}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{34} \div \frac{2}{6} = \frac{17}{34} \times \frac{6}{2}$

• Multiply the Numerators: $17 \times 6 = 102$
• Multiply the Denominators: $34 \times 2 = 68$
• Form the New Fraction: $\frac{17}{34} \times \frac{2}{6} = \frac{102}{68}$

Let's Simplify $\frac{102}{68}$

• Find the Greatest Common Divisor (GCD) of $102$ and $68$. The GCD of $102$ and $68$ is $34$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 34}{68 \div 34} = \frac{3}{2}$

Answer $\frac{17}{34}\div\frac{2}{6} = \frac{3}{2}$

The following animation demonstrates the divide-by,