What is 17/34 Divided By 1/6

Solving $\frac{17}{34}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{34} \div \frac{1}{6} = \frac{17}{34} \times \frac{6}{1}$

• Multiply the Numerators: $17 \times 6 = 102$
• Multiply the Denominators: $34 \times 1 = 34$
• Form the New Fraction: $\frac{17}{34} \times \frac{1}{6} = \frac{102}{34}$

Let's Simplify $\frac{102}{34}$

• Find the Greatest Common Divisor (GCD) of $102$ and $34$. The GCD of $102$ and $34$ is $34$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 34}{34 \div 34} = \frac{3}{1}$

Answer $\frac{17}{34}\div\frac{1}{6} = \frac{3}{1}$

The following animation demonstrates the divide-by,