Breuken optellen (reeks 2)

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Tel de breuken op

1. \(\frac{7}{8}+\frac{10}{17}\)
2. \(\frac{-20}{3}+\frac{11}{3}\)
3. \(\frac{7}{9}+\frac{12}{17}\)
4. \(\frac{-11}{6}+\frac{9}{5}\)
5. \(\frac{-19}{13}+\frac{11}{14}\)
6. \(\frac{-10}{7}+\frac{9}{13}\)
7. \(\frac{10}{3}+\frac{6}{11}\)
8. \(\frac{5}{3}+\frac{9}{7}\)
9. \(\frac{20}{9}+\frac{12}{11}\)
10. \(\frac{-19}{4}+\frac{17}{11}\)
11. \(\frac{-9}{10}+\frac{2}{15}\)
12. \(\frac{-13}{7}+\frac{15}{7}\)

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Tel de breuken op

Verbetersleutel

1. \(\frac{7}{8}+\frac{10}{17}\\=\frac{119}{136}+\frac{80}{136}\\=\frac{119+80}{136}\\=\frac{199}{136}\)
2. \(\frac{-20}{3}+\frac{11}{3}\\=\frac{-20+11}{3}\\=\frac{-9}{3}\\=\frac{-3}{1}\)
3. \(\frac{7}{9}+\frac{12}{17}\\=\frac{119}{153}+\frac{108}{153}\\=\frac{119+108}{153}\\=\frac{227}{153}\)
4. \(\frac{-11}{6}+\frac{9}{5}\\=\frac{-55}{30}+\frac{54}{30}\\=\frac{-55+54}{30}\\=\frac{-1}{30}\\=\frac{1}{-30}\)
5. \(\frac{-19}{13}+\frac{11}{14}\\=\frac{-266}{182}+\frac{143}{182}\\=\frac{-266+143}{182}\\=\frac{-123}{182}\\=\frac{123}{-182}\)
6. \(\frac{-10}{7}+\frac{9}{13}\\=\frac{-130}{91}+\frac{63}{91}\\=\frac{-130+63}{91}\\=\frac{-67}{91}\)
7. \(\frac{10}{3}+\frac{6}{11}\\=\frac{110}{33}+\frac{18}{33}\\=\frac{110+18}{33}\\=\frac{128}{33}\)
8. \(\frac{5}{3}+\frac{9}{7}\\=\frac{35}{21}+\frac{27}{21}\\=\frac{35+27}{21}\\=\frac{62}{21}\)
9. \(\frac{20}{9}+\frac{12}{11}\\=\frac{220}{99}+\frac{108}{99}\\=\frac{220+108}{99}\\=\frac{328}{99}\)
10. \(\frac{-19}{4}+\frac{17}{11}\\=\frac{-209}{44}+\frac{68}{44}\\=\frac{-209+68}{44}\\=\frac{-141}{44}\\=\frac{141}{-44}\)
11. \(\frac{-9}{10}+\frac{2}{15}\\=\frac{-27}{30}+\frac{4}{30}\\=\frac{-27+4}{30}\\=\frac{-23}{30}\)
12. \(\frac{-13}{7}+\frac{15}{7}\\=\frac{-13+15}{7}\\=\frac{2}{7}\)