Breuken optellen (reeks 2)

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Tel de breuken op

1. \(\frac{-19}{4}+\frac{2}{3}\)
2. \(\frac{-2}{5}+\frac{10}{11}\)
3. \(\frac{-18}{19}+\frac{15}{13}\)
4. \(\frac{-4}{9}+\frac{12}{7}\)
5. \(\frac{-7}{5}+\frac{2}{7}\)
6. \(\frac{-5}{8}+\frac{14}{9}\)
7. \(\frac{-20}{3}+\frac{20}{9}\)
8. \(\frac{16}{13}+\frac{3}{10}\)
9. \(\frac{-14}{17}+\frac{11}{6}\)
10. \(\frac{13}{3}+\frac{12}{17}\)
11. \(\frac{18}{17}+\frac{14}{15}\)
12. \(\frac{-1}{19}+\frac{14}{13}\)

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Tel de breuken op

Verbetersleutel

1. \(\frac{-19}{4}+\frac{2}{3}\\=\frac{-57}{12}+\frac{8}{12}\\=\frac{-57+8}{12}\\=\frac{-49}{12}\\=\frac{49}{-12}\)
2. \(\frac{-2}{5}+\frac{10}{11}\\=\frac{-22}{55}+\frac{50}{55}\\=\frac{-22+50}{55}\\=\frac{28}{55}\)
3. \(\frac{-18}{19}+\frac{15}{13}\\=\frac{-234}{247}+\frac{285}{247}\\=\frac{-234+285}{247}\\=\frac{51}{247}\)
4. \(\frac{-4}{9}+\frac{12}{7}\\=\frac{-28}{63}+\frac{108}{63}\\=\frac{-28+108}{63}\\=\frac{80}{63}\)
5. \(\frac{-7}{5}+\frac{2}{7}\\=\frac{-49}{35}+\frac{10}{35}\\=\frac{-49+10}{35}\\=\frac{-39}{35}\\=\frac{39}{-35}\)
6. \(\frac{-5}{8}+\frac{14}{9}\\=\frac{-45}{72}+\frac{112}{72}\\=\frac{-45+112}{72}\\=\frac{67}{72}\)
7. \(\frac{-20}{3}+\frac{20}{9}\\=\frac{-60}{9}+\frac{20}{9}\\=\frac{-60+20}{9}\\=\frac{-40}{9}\)
8. \(\frac{16}{13}+\frac{3}{10}\\=\frac{160}{130}+\frac{39}{130}\\=\frac{160+39}{130}\\=\frac{199}{130}\)
9. \(\frac{-14}{17}+\frac{11}{6}\\=\frac{-84}{102}+\frac{187}{102}\\=\frac{-84+187}{102}\\=\frac{103}{102}\)
10. \(\frac{13}{3}+\frac{12}{17}\\=\frac{221}{51}+\frac{36}{51}\\=\frac{221+36}{51}\\=\frac{257}{51}\)
11. \(\frac{18}{17}+\frac{14}{15}\\=\frac{270}{255}+\frac{238}{255}\\=\frac{270+238}{255}\\=\frac{508}{255}\)
12. \(\frac{-1}{19}+\frac{14}{13}\\=\frac{-13}{247}+\frac{266}{247}\\=\frac{-13+266}{247}\\=\frac{253}{247}\)