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Evaluate the expression shown below and write your answer as a fraction in simplest form.

(4)/(17)+(-(12)/(17))
Answer:

Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline417+(1217) \frac{4}{17}+\left(-\frac{12}{17}\right) \newlineAnswer:

Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline417+(1217) \frac{4}{17}+\left(-\frac{12}{17}\right) \newlineAnswer:
  1. Identify common denominator: Identify the common denominator.\newlineBoth fractions have the same denominator, which is 1717. This means we can add the numerators directly.
  2. Add numerators: Add the numerators.\newlineThe numerators are 44 and 12-12. Adding these together gives us 4+(12)=84 + (-12) = -8.
  3. Write result as fraction: Write the result as a fraction.\newlineThe sum of the fractions is (8)/17(-8)/17, which is already in simplest form since 8-8 and 1717 have no common factors other than 11.

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