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Simplify. Express your answer as a single fraction in simplest form.\newline8z3−53\frac{8z}{3} - \frac{5}{3}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form.\newline8z3−53\frac{8z}{3} - \frac{5}{3}
  1. Identify common denominator: Identify the common denominator.\newlineBoth terms have the same denominator, which is 33. This means we can combine the numerators directly.
  2. Combine numerators: Combine the numerators.\newlineSince the denominators are the same, we can combine the numerators by subtracting them.\newline(8z3)−(53)=8z−53(\frac{8z}{3}) - (\frac{5}{3}) = \frac{8z - 5}{3}
  3. Check for further simplification: Check if the fraction can be simplified further.\newlineThe numerator 8z−58z - 5 does not have any common factors with the denominator 33, and since zz is a variable, we cannot simplify the fraction further.

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