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Evaluate the expression shown below and write your answer as a fraction in simplest form. -(8)/(3)-(-(4)/(3)) Answer:

Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline−83−(−43) -\frac{8}{3}-\left(-\frac{4}{3}\right) \newlineAnswer:

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Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline−83−(−43) -\frac{8}{3}-\left(-\frac{4}{3}\right) \newlineAnswer:
  1. Identify Operation: Identify the operation to be performed on the fractions.\newlineWe need to subtract the second fraction from the first one, but the second fraction has a negative sign in front of it, which means we are actually adding its opposite.
  2. Change Subtraction: Change the subtraction of a negative fraction to the addition of a positive fraction. −83-\frac{8}{3} - −43-\frac{4}{3} becomes −83-\frac{8}{3} + 43\frac{4}{3} because subtracting a negative is the same as adding a positive.
  3. Add Fractions: Add the fractions.\newlineSince the fractions have the same denominator, we can add the numerators directly.\newline−83+43=−8+43-\frac{8}{3} + \frac{4}{3} = \frac{-8 + 4}{3}
  4. Perform Addition: Perform the addition of the numerators.\newline−8+4=−4-8 + 4 = -4\newlineSo, the expression becomes −43-\frac{4}{3}.
  5. Check for Simplification: Check if the fraction can be simplified further.\newlineThe fraction −43-\frac{4}{3} is already in its simplest form because 44 and 33 have no common factors other than 11.

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