Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{4}{13}+\frac{19}{8}\\=\frac{32}{104}+\frac{247}{104}\\=\frac{32+247}{104}\\=\frac{279}{104}\)
2. \(\frac{-8}{9}+\frac{3}{4}\\=\frac{-32}{36}+\frac{27}{36}\\=\frac{-32+27}{36}\\=\frac{-5}{36}\)
3. \(\frac{-12}{13}+\frac{18}{5}\\=\frac{-60}{65}+\frac{234}{65}\\=\frac{-60+234}{65}\\=\frac{174}{65}\)
4. \(\frac{18}{5}+\frac{16}{13}\\=\frac{234}{65}+\frac{80}{65}\\=\frac{234+80}{65}\\=\frac{314}{65}\)
5. \(\frac{3}{17}+\frac{11}{6}\\=\frac{18}{102}+\frac{187}{102}\\=\frac{18+187}{102}\\=\frac{205}{102}\)
6. \(\frac{-7}{18}+\frac{6}{17}\\=\frac{-119}{306}+\frac{108}{306}\\=\frac{-119+108}{306}\\=\frac{-11}{306}\)
7. \(\frac{-10}{7}+\frac{10}{9}\\=\frac{-90}{63}+\frac{70}{63}\\=\frac{-90+70}{63}\\=\frac{-20}{63}\)
8. \(\frac{12}{5}+\frac{14}{15}\\=\frac{36}{15}+\frac{14}{15}\\=\frac{36+14}{15}\\=\frac{50}{15}\\=\frac{10}{3}\)
9. \(\frac{1}{13}+\frac{10}{13}\\=\frac{1+10}{13}\\=\frac{11}{13}\)
10. \(\frac{-15}{8}+\frac{4}{9}\\=\frac{-135}{72}+\frac{32}{72}\\=\frac{-135+32}{72}\\=\frac{-103}{72}\\=\frac{103}{-72}\)
11. \(\frac{-11}{3}+\frac{14}{19}\\=\frac{-209}{57}+\frac{42}{57}\\=\frac{-209+42}{57}\\=\frac{-167}{57}\\=\frac{167}{-57}\)
12. \(\frac{6}{17}+\frac{10}{17}\\=\frac{6+10}{17}\\=\frac{16}{17}\)