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2013-07-19T21:04:31+02:00

a)⁷/₆+(-¹⁵/₁₂-¹⁶/₁₂)=⁷/₆+(-³¹/₁₂)=¹⁴/₁₂-³¹/₁₂=-¹⁷/₁₂=-1⁵/₁₂

 

b)-1⁹/₁₆+¹¹/₁₂=-1¹⁰⁸/₁₉₂+¹⁷⁶/₁₉₂=-³⁰⁰/₁₉₂+¹⁷⁶/₁₉₂=-¹²⁴/₁₉₂=-⁶²/⁹⁶=-³¹/₄₈

 

c) ½ -¹/₃-(¼ -¹/₅)=³⁰/₆₀-²⁰/₆₀-(¹⁵/₆₀-¹²/₆₀)=¹⁰/₆₀-³/₆₀=⁷/₆₀

 

d)-(-2²/₃) + ⁷/₁₅= 2¹⁰/₁₅+⁷/₁₅=2¹⁷/₁₅=3 ²/₁₅

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2013-07-19T22:08:24+02:00

a)

 

\frac{7}{6}+(-\frac{5}{4}-\frac{4}{3})=\frac{14}{12}+(-\frac{15}{12}-\frac{16}{12})=\frac{14}{12}+(-\frac{31}{12})=\\\\\frac{14}{12}-\frac{31}{12}=-\frac{17}{12}=-1\frac{5}{12}

 

b)

 

-1\frac{9}{16}+\frac{11}{12}=-\frac{25}{16}+\frac{11}{12}=-\frac{75}{48}+\frac{44}{48}=-\frac{31}{48}

 

c)

 

\frac{1}{2}-\frac{1}{3}-(\frac{1}{4}-\frac{1}{5})=\frac{1}{2}-\frac{1}{3}-(\frac{5}{20}-\frac{4}{20})=\frac{1}{2}-\frac{1}{3}-(\frac{1}{20})=\\\\\frac{1}{2}-\frac{1}{3}-\frac{1}{20}=\frac{30}{60}-\frac{20}{60}-\frac{3}{60}=\frac{7}{60}

 

d)

 

-(-2\frac{2}{3})+\frac{7}{15}=2\frac{2}{3}+\frac{7}{15}=\frac{8}{3}+\frac{7}{15}=\frac{40}{15}+\frac{7}{15}=\frac{47}{15}=3\frac{2}{15}

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