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Reduce to simplest form. (8)/(3)+(-(9)/(4))=

Reduce to simplest form.\newline83+(−94)= \frac{8}{3}+\left(-\frac{9}{4}\right)=

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Full solution

Q. Reduce to simplest form.\newline83+(−94)= \frac{8}{3}+\left(-\frac{9}{4}\right)=
  1. Identify common denominator: Identify the common denominator for the fractions 83\frac{8}{3} and −94-\frac{9}{4}. The denominators are 33 and 44, so the least common denominator (LCD) is 1212.
  2. Convert to equivalent fractions: Convert each fraction to an equivalent fraction with the LCD as the denominator.\newlineFor 83\frac{8}{3}, multiply both the numerator and the denominator by 44 to get (8×43×4)=3212\left(\frac{8\times 4}{3\times 4}\right) = \frac{32}{12}.\newlineFor −94\frac{-9}{4}, multiply both the numerator and the denominator by 33 to get (−9×34×3)=−2712\left(\frac{-9\times 3}{4\times 3}\right) = \frac{-27}{12}.
  3. Add fractions with common denominator: Add the fractions with the common denominator.\newline(3212)+(−2712)=32−2712=512(\frac{32}{12}) + (\frac{-27}{12}) = \frac{32 - 27}{12} = \frac{5}{12}.

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