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Evaluate the expression for r=5.2r = 5.2.\newlineWrite your answer in simplest form.\newliner−3−r+2=\frac{r - 3}{-r + 2} = __

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Evaluate rational expressions IIright chevron icon

Full solution

Q. Evaluate the expression for r=5.2r = 5.2.\newlineWrite your answer in simplest form.\newliner−3−r+2=\frac{r - 3}{-r + 2} = __
  1. Substitute r=5.2r = 5.2: Substitute r=5.2r = 5.2 into the expression r−3−r+2\frac{r - 3}{-r + 2}.\newlineCalculation: 5.2−3−5.2+2\frac{5.2 - 3}{-5.2 + 2}
  2. Evaluate numerator: Evaluate the numerator 5.2−35.2 - 3.\newlineCalculation: 5.2−3=2.25.2 - 3 = 2.2
  3. Evaluate denominator: Evaluate the denominator −5.2+2-5.2 + 2.\newlineCalculation: −5.2+2=−3.2-5.2 + 2 = -3.2
  4. Write fraction: Write the fraction with the evaluated numerator and denominator.\newlineCalculation: 2.2−3.2\frac{2.2}{-3.2}
  5. Simplify fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor.\newlineCalculation: 2.2−3.2=−1116\frac{2.2}{-3.2} = -\frac{11}{16}

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