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The sum of two rational numbers is - 4. ...

The sum of two rational numbers is - 4. If one of them is `-3/5` find the other.

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To solve the problem step by step, we need to find the other rational number when the sum of two rational numbers is -4, and one of them is -3/5. ### Step-by-Step Solution: 1. **Understand the Problem**: We know that the sum of two rational numbers is -4. One of the numbers is -3/5. Let's denote the other number as \( x \). 2. **Set Up the Equation**: According to the problem, we can write the equation: \[ -3/5 + x = -4 \] 3. **Isolate \( x \)**: To find \( x \), we need to isolate it on one side of the equation. We can do this by adding \( 3/5 \) to both sides: \[ x = -4 + 3/5 \] 4. **Convert -4 to a Fraction**: To add these two numbers, we need to express -4 as a fraction with the same denominator as \( 3/5 \). The denominator of \( 3/5 \) is 5, so we can rewrite -4 as: \[ -4 = -\frac{20}{5} \] 5. **Perform the Addition**: Now we can add the fractions: \[ x = -\frac{20}{5} + \frac{3}{5} \] \[ x = \frac{-20 + 3}{5} \] \[ x = \frac{-17}{5} \] 6. **Conclusion**: Therefore, the other rational number is: \[ x = -\frac{17}{5} \] ### Final Answer: The other rational number is \( -\frac{17}{5} \).
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