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Mathematics

Subtract:

−116\dfrac{-11}{6} from 83\dfrac{8}{3}

Rational Numbers

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Answer

To subtract one rational number from another, add the additive inverse of the rational number to be subtracted.

Subtracting −116\dfrac{-11}{6} from 83\dfrac{8}{3},

LCM of 3 and 6 = 6

83−(−116)=83+116=8×2+116=16+116=276=92=412\dfrac{8}{3} - \left(\dfrac{-11}{6}\right) = \dfrac{8}{3} + \dfrac{11}{6} \\[1em] = \dfrac{8 \times 2 + 11}{6} \\[1em] = \dfrac{16 + 11}{6} \\[1em] = \dfrac{27}{6} = \dfrac{9}{2} \\[1em] = 4\dfrac{1}{2}

Hence, the required difference is 412\mathbf{4\dfrac{1}{2}}.

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