c. \( \frac{10}{9}-\frac{5}{3}-\frac{4}{9} \) \( \frac{10}{9}-\frac{5}{3}-\frac{4}{9}=-1 \)

Let's break it down! When combining fractions, we need a common denominator. Here, 9 is a good choice since it can accommodate all the denominators: 1. Rewrite \( \frac{5}{3} \) with a denominator of 9: \( \frac{5}{3} = \frac{15}{9} \). Now, substitute in the equation: \[ \frac{10}{9} - \frac{15}{9} - \frac{4}{9} \] 2. Combine them: \( \frac{10 - 15 - 4}{9} = \frac{-9}{9} = -1 \) And there you have it! The calculation holds up perfectly. To avoid common mistakes when working with fractions, always check that your denominators match before combining. Also, keep an eye on your signs (positive or negative); they can turn the outcome upside down if overlooked. Mistakes like mixing signs or miscalculating the least common denominator can lead to incorrect answers, so taking it slow can really pay off!