What is 17/35 Divided By 2/5

Solving $\frac{17}{35}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{35} \div \frac{2}{5} = \frac{17}{35} \times \frac{5}{2}$

• Multiply the Numerators: $17 \times 5 = 85$
• Multiply the Denominators: $35 \times 2 = 70$
• Form the New Fraction: $\frac{17}{35} \times \frac{2}{5} = \frac{85}{70}$

Let's Simplify $\frac{85}{70}$

• Find the Greatest Common Divisor (GCD) of $85$ and $70$. The GCD of $85$ and $70$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{85 \div 5}{70 \div 5} = \frac{17}{14}$

Answer $\frac{17}{35}\div\frac{2}{5} = \frac{17}{14}$

The following animation demonstrates the divide-by,