Final answer:
The question requires rearranging various equations with an understanding of arithmetic operations, especially the rules concerning the signs of products and quotients. Familiarity with basic arithmetic involving positive and negative numbers is essential.
Step-by-step explanation:
The question involves ordering several different types of equations and operations, including addition and subtraction of mixed numbers, solving linear equations with decimals, division of a positive number by a negative decimal, and addition and subtraction of fractions with unlike denominators. The rules of arithmetic operations, specifically the rules for the signs of products and quotients, are a crucial part of solving these problems.
When two positive numbers multiply, the result is positive. Similarly, the product of two negative numbers is also positive. However, if the numbers being multiplied have opposite signs, the product will be negative. These rules also apply to division.
Additionally, when adding and subtracting with negative numbers, the sign of the number being added or subtracted must be considered and switched appropriately. For example, subtracting a negative number is equivalent to adding its positive counterpart.