Question

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Answer 1

$a) \frac{1}{15} +\frac{-5}{6} +\frac{1}{9} =\frac{6+(-75)+10}{90} =\frac{6-75+10}{90}=-\frac{59}{90}. \\ \\ b) \frac{11}{8} +2\frac{1}{3} -(1\frac{3}{8} +\frac{7}{3})=\frac{11}{8}+\frac{7}{3}-(\frac{11}{8}+\frac{7}{3})=\frac{11}{8}+\frac{7}{3} -\frac{11}{8}-\frac{7}{3}=0. \\ \\ c)0,2+(\frac{13}{4}-3\frac{1}{4})+(-1,2)=\frac{1}{5}+(\frac{13}{4} -\frac{13}{4})-\frac{6}{5} =\frac{1-6}{5} =\frac{-5}{5}=-1. \\ \\ d)143\frac{5}{37}-143\frac{4}{37}=\frac{5296-5295}{37}=\frac{1}{37}.$

$e)143\frac{5}{37}-143\frac{6}{37}=\frac{5296-5297}{37}=-\frac{1}{37}. \\ \\ f) \frac{1}{2x}+\frac{1}{3x}+\frac{1}{6x}-\frac{1}{x}=\frac{3+2+1-6}{6x}=\frac{0}{6x}=0.$