c. Choose the best ayproximation for \( \frac{2}{115}+\frac{2}{117} \) (c) \( \frac{2}{4} \) 0 0 \( \frac{1}{2} \)

To approximate \( \frac{2}{115}+\frac{2}{117} \), we can find a common approach by considering the averages of the denominators. The average of 115 and 117 is 116, so we have roughly \( \frac{2}{116} + \frac{2}{116} = \frac{4}{116} \), which simplifies to \( \frac{1}{29} \). Comparing this to the options given, \( \frac{1}{2} \) is significantly larger, while \( \frac{2}{4} \) is also \( \frac{1}{2} \). Thus, the best approximation is \( 0 \). When dealing with fractions, it’s often beneficial to estimate using known equivalents or simplifying before directly calculating. A common mistake is to overlook the impact of small differences in large denominators, so using averages or convenient fractions can save time and improve accuracy. Try to visualize the fractions in relation to whole numbers during approximations!