What is 17/34 Divided By 2/5

Solving $\frac{17}{34}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{34} \div \frac{2}{5} = \frac{17}{34} \times \frac{5}{2}$

• Multiply the Numerators: $17 \times 5 = 85$
• Multiply the Denominators: $34 \times 2 = 68$
• Form the New Fraction: $\frac{17}{34} \times \frac{2}{5} = \frac{85}{68}$

Let's Simplify $\frac{85}{68}$

• Find the Greatest Common Divisor (GCD) of $85$ and $68$. The GCD of $85$ and $68$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{85 \div 17}{68 \div 17} = \frac{5}{4}$

Answer $\frac{17}{34}\div\frac{2}{5} = \frac{5}{4}$

The following animation demonstrates the divide-by,