What is 17/34 Divided By 1/5

Solving $\frac{17}{34}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{34} \div \frac{1}{5} = \frac{17}{34} \times \frac{5}{1}$

• Multiply the Numerators: $17 \times 5 = 85$
• Multiply the Denominators: $34 \times 1 = 34$
• Form the New Fraction: $\frac{17}{34} \times \frac{1}{5} = \frac{85}{34}$

Let's Simplify $\frac{85}{34}$

• Find the Greatest Common Divisor (GCD) of $85$ and $34$. The GCD of $85$ and $34$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{85 \div 17}{34 \div 17} = \frac{5}{2}$

Answer $\frac{17}{34}\div\frac{1}{5} = \frac{5}{2}$

The following animation demonstrates the divide-by,