Breuken optellen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Tel de breuken op

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

---

Tel de breuken op

Verbetersleutel

1. \(\frac{-2}{19}+\frac{5}{4}\\=\frac{-8}{76}+\frac{95}{76}\\=\frac{-8+95}{76}\\=\frac{87}{76}\)
2. \(\frac{-14}{15}+\frac{13}{19}\\=\frac{-266}{285}+\frac{195}{285}\\=\frac{-266+195}{285}\\=\frac{-71}{285}\)
3. \(\frac{20}{9}+\frac{7}{5}\\=\frac{100}{45}+\frac{63}{45}\\=\frac{100+63}{45}\\=\frac{163}{45}\)
4. \(\frac{12}{19}+\frac{5}{17}\\=\frac{204}{323}+\frac{95}{323}\\=\frac{204+95}{323}\\=\frac{299}{323}\)
5. \(\frac{-13}{14}+\frac{5}{8}\\=\frac{-52}{56}+\frac{35}{56}\\=\frac{-52+35}{56}\\=\frac{-17}{56}\)
6. \(\frac{-14}{15}+\frac{11}{6}\\=\frac{-28}{30}+\frac{55}{30}\\=\frac{-28+55}{30}\\=\frac{27}{30}\\=\frac{9}{10}\)
7. \(\frac{10}{11}+\frac{15}{16}\\=\frac{160}{176}+\frac{165}{176}\\=\frac{160+165}{176}\\=\frac{325}{176}\)
8. \(\frac{4}{3}+\frac{2}{13}\\=\frac{52}{39}+\frac{6}{39}\\=\frac{52+6}{39}\\=\frac{58}{39}\)
9. \(\frac{3}{7}+\frac{13}{16}\\=\frac{48}{112}+\frac{91}{112}\\=\frac{48+91}{112}\\=\frac{139}{112}\)
10. \(\frac{-1}{19}+\frac{18}{17}\\=\frac{-17}{323}+\frac{342}{323}\\=\frac{-17+342}{323}\\=\frac{325}{323}\)
11. \(\frac{-3}{4}+\frac{16}{5}\\=\frac{-15}{20}+\frac{64}{20}\\=\frac{-15+64}{20}\\=\frac{49}{20}\)
12. \(\frac{-17}{3}+\frac{2}{9}\\=\frac{-51}{9}+\frac{2}{9}\\=\frac{-51+2}{9}\\=\frac{-49}{9}\)