Breuken optellen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Tel de breuken op

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

---

Tel de breuken op

Verbetersleutel

1. \(\frac{-1}{15}+\frac{10}{13}\\=\frac{-13}{195}+\frac{150}{195}\\=\frac{-13+150}{195}\\=\frac{137}{195}\)
2. \(\frac{7}{2}+\frac{7}{9}\\=\frac{63}{18}+\frac{14}{18}\\=\frac{63+14}{18}\\=\frac{77}{18}\)
3. \(\frac{15}{4}+\frac{13}{16}\\=\frac{60}{16}+\frac{13}{16}\\=\frac{60+13}{16}\\=\frac{73}{16}\)
4. \(\frac{14}{15}+\frac{18}{11}\\=\frac{154}{165}+\frac{270}{165}\\=\frac{154+270}{165}\\=\frac{424}{165}\)
5. \(\frac{-2}{7}+\frac{20}{7}\\=\frac{-2+20}{7}\\=\frac{18}{7}\)
6. \(\frac{-9}{5}+\frac{14}{11}\\=\frac{-99}{55}+\frac{70}{55}\\=\frac{-99+70}{55}\\=\frac{-29}{55}\\=\frac{29}{-55}\)
7. \(\frac{5}{11}+\frac{16}{3}\\=\frac{15}{33}+\frac{176}{33}\\=\frac{15+176}{33}\\=\frac{191}{33}\)
8. \(\frac{-5}{6}+\frac{4}{3}\\=\frac{-5+4}{6}\\=\frac{-1}{6}\\=\frac{1}{-6}\)
9. \(\frac{-20}{3}+\frac{6}{11}\\=\frac{-220}{33}+\frac{18}{33}\\=\frac{-220+18}{33}\\=\frac{-202}{33}\)
10. \(\frac{-6}{7}+\frac{11}{8}\\=\frac{-48}{56}+\frac{77}{56}\\=\frac{-48+77}{56}\\=\frac{29}{56}\)
11. \(\frac{10}{17}+\frac{10}{13}\\=\frac{130}{221}+\frac{170}{221}\\=\frac{130+170}{221}\\=\frac{300}{221}\)
12. \(\frac{-8}{3}+\frac{6}{5}\\=\frac{-40}{15}+\frac{18}{15}\\=\frac{-40+18}{15}\\=\frac{-22}{15}\)