Breuken optellen (reeks 2)

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Tel de breuken op

1. \(\frac{20}{11}+\frac{6}{5}\)
2. \(\frac{-5}{3}+\frac{17}{2}\)
3. \(\frac{3}{2}+\frac{5}{14}\)
4. \(\frac{-20}{3}+\frac{12}{11}\)
5. \(\frac{-7}{4}+\frac{20}{7}\)
6. \(\frac{-4}{5}+\frac{18}{13}\)
7. \(\frac{6}{11}+\frac{5}{14}\)
8. \(\frac{5}{9}+\frac{15}{11}\)
9. \(\frac{20}{17}+\frac{8}{9}\)
10. \(\frac{-9}{14}+\frac{2}{13}\)
11. \(\frac{-15}{19}+\frac{12}{5}\)
12. \(\frac{9}{2}+\frac{15}{7}\)

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Tel de breuken op

Verbetersleutel

1. \(\frac{20}{11}+\frac{6}{5}\\=\frac{100}{55}+\frac{66}{55}\\=\frac{100+66}{55}\\=\frac{166}{55}\)
2. \(\frac{-5}{3}+\frac{17}{2}\\=\frac{-10}{6}+\frac{51}{6}\\=\frac{-10+51}{6}\\=\frac{41}{6}\)
3. \(\frac{3}{2}+\frac{5}{14}\\=\frac{21}{14}+\frac{5}{14}\\=\frac{21+5}{14}\\=\frac{26}{14}\\=\frac{13}{7}\)
4. \(\frac{-20}{3}+\frac{12}{11}\\=\frac{-220}{33}+\frac{36}{33}\\=\frac{-220+36}{33}\\=\frac{-184}{33}\\=\frac{184}{-33}\)
5. \(\frac{-7}{4}+\frac{20}{7}\\=\frac{-49}{28}+\frac{80}{28}\\=\frac{-49+80}{28}\\=\frac{31}{28}\)
6. \(\frac{-4}{5}+\frac{18}{13}\\=\frac{-52}{65}+\frac{90}{65}\\=\frac{-52+90}{65}\\=\frac{38}{65}\)
7. \(\frac{6}{11}+\frac{5}{14}\\=\frac{84}{154}+\frac{55}{154}\\=\frac{84+55}{154}\\=\frac{139}{154}\)
8. \(\frac{5}{9}+\frac{15}{11}\\=\frac{55}{99}+\frac{135}{99}\\=\frac{55+135}{99}\\=\frac{190}{99}\)
9. \(\frac{20}{17}+\frac{8}{9}\\=\frac{180}{153}+\frac{136}{153}\\=\frac{180+136}{153}\\=\frac{316}{153}\)
10. \(\frac{-9}{14}+\frac{2}{13}\\=\frac{-117}{182}+\frac{28}{182}\\=\frac{-117+28}{182}\\=\frac{-89}{182}\\=\frac{89}{-182}\)
11. \(\frac{-15}{19}+\frac{12}{5}\\=\frac{-75}{95}+\frac{228}{95}\\=\frac{-75+228}{95}\\=\frac{153}{95}\)
12. \(\frac{9}{2}+\frac{15}{7}\\=\frac{63}{14}+\frac{30}{14}\\=\frac{63+30}{14}\\=\frac{93}{14}\)