Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-13}{10}+\frac{13}{5}\\=\frac{-13+13}{10}\\=\frac{0}{10}\\=\frac{0}{1}\)
2. \(\frac{10}{17}+\frac{4}{17}\\=\frac{10+4}{17}\\=\frac{14}{17}\)
3. \(\frac{10}{19}+\frac{10}{3}\\=\frac{30}{57}+\frac{190}{57}\\=\frac{30+190}{57}\\=\frac{220}{57}\)
4. \(\frac{-12}{13}+\frac{11}{16}\\=\frac{-192}{208}+\frac{143}{208}\\=\frac{-192+143}{208}\\=\frac{-49}{208}\\=\frac{49}{-208}\)
5. \(\frac{16}{13}+\frac{19}{4}\\=\frac{64}{52}+\frac{247}{52}\\=\frac{64+247}{52}\\=\frac{311}{52}\)
6. \(\frac{-2}{9}+\frac{6}{5}\\=\frac{-10}{45}+\frac{54}{45}\\=\frac{-10+54}{45}\\=\frac{44}{45}\)
7. \(\frac{-16}{7}+\frac{19}{3}\\=\frac{-48}{21}+\frac{133}{21}\\=\frac{-48+133}{21}\\=\frac{85}{21}\)
8. \(\frac{-19}{4}+\frac{15}{19}\\=\frac{-361}{76}+\frac{60}{76}\\=\frac{-361+60}{76}\\=\frac{-301}{76}\\=\frac{301}{-76}\)
9. \(\frac{18}{17}+\frac{17}{15}\\=\frac{270}{255}+\frac{289}{255}\\=\frac{270+289}{255}\\=\frac{559}{255}\)
10. \(\frac{10}{17}+\frac{12}{11}\\=\frac{110}{187}+\frac{204}{187}\\=\frac{110+204}{187}\\=\frac{314}{187}\)
11. \(\frac{10}{17}+\frac{20}{11}\\=\frac{110}{187}+\frac{340}{187}\\=\frac{110+340}{187}\\=\frac{450}{187}\)
12. \(\frac{-20}{9}+\frac{19}{3}\\=\frac{-20+19}{9}\\=\frac{-1}{9}\\=\frac{1}{-9}\)