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Evaluate the expression shown below and write your answer as a fraction in simplest form. (5)/(17)-(8)/(17) Answer:

Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline517−817 \frac{5}{17}-\frac{8}{17} \newlineAnswer:

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Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline517−817 \frac{5}{17}-\frac{8}{17} \newlineAnswer:
  1. Identify common denominator: Identify the common denominator.\newlineBoth fractions have the same denominator, which is 1717. This means we can subtract the numerators directly.
  2. Subtract numerators: Subtract the numerators.\newlineSubtract the numerator of the second fraction from the numerator of the first fraction.\newline(517)−(817)=5−817(\frac{5}{17}) - (\frac{8}{17}) = \frac{5 - 8}{17}
  3. Calculate difference: Calculate the difference.\newlineCalculate the difference of the numerators.\newline5−8=−35 - 8 = -3
  4. Write result as fraction: Write the result as a fraction.\newlineThe result of the subtraction is −3-3, so the fraction is (−3)/17(-3)/17.
  5. Simplify fraction: Simplify the fraction if possible.\newlineThe fraction (−3)/17(-3)/17 is already in its simplest form because −3-3 and 1717 have no common factors other than 11.

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