A) \[\frac{4}{9}+\frac{-5}{9}\]
B) \[\frac{-2}{5}+\frac{13}{20}\]
C) \[\frac{-5}{12}+\frac{11}{-12}\]
D) \[\frac{-7}{8}+\frac{1}{12}+\frac{2}{3}\]
Correct Answer: A
Solution :
(a) \[\frac{4}{9}+\frac{-5}{9}=\frac{4-5}{9}=\frac{-1}{9}\] (b) \[\frac{-2}{5}+\frac{13}{20}=\frac{-8+13}{20}=\frac{5}{20}\] (c) \[\frac{-5}{12}+\frac{11}{-12}=\frac{-5}{12}-\frac{11}{12}=\frac{-5-11}{12}=\frac{-16}{12}\] (d) \[\frac{-7}{8}+\frac{1}{12}+\frac{2}{3}=\frac{-21+2+16}{24}=\frac{-3}{24}\] \[\therefore \] Option (a) is in simplest form,
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