Solve the following mathematical problems:

Okay, let's solve these problems step by step: **г) -5.4 + 7.9 + 3.2 + 5.4 - 3.2;** -5.4 + 7.9 + 3.2 + 5.4 - 3.2 = (-5.4 + 5.4) + (7.9 + 3.2 - 3.2) = 0 + 7.9 = **7.9** **д) 7 \frac{4}{11} - 5 \frac{1}{9} - 8 \frac{10}{11} + 2 \frac{1}{3} - 4 \frac{2}{9} + 3 \frac{6}{11};** First, group the whole numbers and fractions: \( (7 - 5 - 8 + 2 - 4 + 3) + (\frac{4}{11} - \frac{1}{9} - \frac{10}{11} + \frac{1}{3} - \frac{2}{9} + \frac{6}{11}) \) Combine the whole numbers: \( 7 - 5 - 8 + 2 - 4 + 3 = -5 \) Combine the fractions: \( \frac{4}{11} - \frac{10}{11} + \frac{6}{11} - \frac{1}{9} - \frac{2}{9} + \frac{1}{3} = \frac{4 - 10 + 6}{11} - \frac{1 + 2}{9} + \frac{1}{3} = \frac{0}{11} - \frac{3}{9} + \frac{1}{3} = 0 - \frac{1}{3} + \frac{1}{3} = 0 \) So, the final result is: \( -5 + 0 = -5 \) **Therefore, the answer is -5.** **e) 5 \frac{2}{22} - 8 \frac{3}{11} - 7 \frac{4}{13} + 8 \frac{3}{11} + 7 \frac{4}{13} - 5 \frac{1}{22};** First, group the whole numbers and fractions: \( (5 - 8 - 7 + 8 + 7 - 5) + (\frac{2}{22} - \frac{3}{11} - \frac{4}{13} + \frac{3}{11} + \frac{4}{13} - \frac{1}{22}) \) Combine the whole numbers: \( 5 - 8 - 7 + 8 + 7 - 5 = 0 \) Combine the fractions: \( \frac{2}{22} - \frac{1}{22} - \frac{3}{11} + \frac{3}{11} - \frac{4}{13} + \frac{4}{13} = \frac{2 - 1}{22} + 0 + 0 = \frac{1}{22} \) So, the final result is: \( 0 + \frac{1}{22} = \frac{1}{22} \) **Therefore, the answer is \(\frac{1}{22}\).** **Detailed Explanation for Students** Let's break down each problem to make sure everything is clear. **Problem г):** This problem involves adding and subtracting decimal numbers. The key here is to look for pairs that cancel each other out. We see that -5.4 and +5.4 cancel each other out, and +3.2 and -3.2 also cancel each other out. That leaves us with only 7.9, which is the answer. **Problem д):** This problem involves mixed numbers (whole numbers and fractions). The first step is to separate the whole numbers and the fractions. We then add and subtract the whole numbers separately and the fractions separately. After doing this, we combine the two results to get the final answer. **Problem e):** Similar to problem д), this problem also involves mixed numbers. We follow the same process: separate the whole numbers and the fractions, combine them separately, and then combine the results. In this case, many terms cancel out, simplifying the problem significantly.