iReady Practice: Strategies to Add and Subtract Rationals - Quic - Level G What is \( 1 \frac{2}{3}-\left(-5 \frac{2}{3}\right) \) ? \( 6 \frac{1}{3} \) \( 6 \frac{2}{3} \) \( 7 \frac{1}{3} \) \( 7 \frac{2}{3} \)

To solve \( 1 \frac{2}{3} - (-5 \frac{2}{3}) \), first convert the mixed numbers into improper fractions. So, \( 1 \frac{2}{3} = \frac{5}{3} \) and \( -5 \frac{2}{3} = -\frac{17}{3} \). Now, subtracting a negative is like adding: \(\frac{5}{3} + \left(\frac{17}{3}\right) = \frac{22}{3}\). Now convert back to a mixed number: \( \frac{22}{3} = 7 \frac{1}{3} \). The answer is \( 7 \frac{1}{3} \). If you find subtracting negatives tricky, remember it’s just like putting on a pair of positive sunglasses! Changing subtraction to addition can make problem-solving feel brighter and easier. Oftentimes, students forget to convert mixed numbers properly or mismanage the signs when they deal with negatives. Always double-check whether you're adding or subtracting to avoid or catch any silly mistakes!