What is 17/26 Divided By 2/8

Solving $\frac{17}{26}\div\frac{2}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{26} \div \frac{2}{8} = \frac{17}{26} \times \frac{8}{2}$

• Multiply the Numerators: $17 \times 8 = 136$
• Multiply the Denominators: $26 \times 2 = 52$
• Form the New Fraction: $\frac{17}{26} \times \frac{2}{8} = \frac{136}{52}$

Let's Simplify $\frac{136}{52}$

• Find the Greatest Common Divisor (GCD) of $136$ and $52$. The GCD of $136$ and $52$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{136 \div 4}{52 \div 4} = \frac{34}{13}$

Answer $\frac{17}{26}\div\frac{2}{8} = \frac{34}{13}$

The following animation demonstrates the divide-by,