Subjects algebra

Fraction List

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1. **Stating the problem:** Simplify the expression involving the fractions and integers given: $$\frac{43}{17}, -\frac{1}{7}, -7, 35, 5, -\frac{1}{14}, \frac{1}{7}, -14, \frac{1}{14}, 7, 14.$$\n\n2. **Understanding the problem:** We have a list of numbers, some fractions and some integers, both positive and negative. The goal is to simplify or combine these expressions if possible.\n\n3. **Step-by-step simplification:**\n- First, note that some numbers are integers and some are fractions.\n- We can try to combine like terms or convert all to a common denominator if adding or subtracting.\n- However, since the problem does not specify an operation, we will interpret it as listing the numbers and simplifying fractions where possible.\n\n4. **Simplify fractions:**\n- \(\frac{43}{17}\) cannot be simplified further since 43 and 17 are prime relative to each other.\n- \(-\frac{1}{7}\) is already in simplest form.\n- \(-\frac{1}{14}\) and \(\frac{1}{14}\) are simplest.\n- \(\frac{1}{7}\) is simplest.\n\n5. **Summary:** The numbers are already in simplest fractional form or integers. No further simplification is possible without additional operations.\n\n**Final answer:** The expressions are already simplified as given: $$\frac{43}{17}, -\frac{1}{7}, -7, 35, 5, -\frac{1}{14}, \frac{1}{7}, -14, \frac{1}{14}, 7, 14.$$