Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-15}{17}+\frac{11}{6}\\=\frac{-90}{102}+\frac{187}{102}\\=\frac{-90+187}{102}\\=\frac{97}{102}\)
2. \(\frac{-4}{3}+\frac{20}{13}\\=\frac{-52}{39}+\frac{60}{39}\\=\frac{-52+60}{39}\\=\frac{8}{39}\)
3. \(\frac{5}{6}+\frac{16}{7}\\=\frac{35}{42}+\frac{96}{42}\\=\frac{35+96}{42}\\=\frac{131}{42}\)
4. \(\frac{8}{11}+\frac{14}{9}\\=\frac{72}{99}+\frac{154}{99}\\=\frac{72+154}{99}\\=\frac{226}{99}\)
5. \(\frac{18}{19}+\frac{3}{10}\\=\frac{180}{190}+\frac{57}{190}\\=\frac{180+57}{190}\\=\frac{237}{190}\)
6. \(\frac{19}{3}+\frac{10}{13}\\=\frac{247}{39}+\frac{30}{39}\\=\frac{247+30}{39}\\=\frac{277}{39}\)
7. \(\frac{20}{11}+\frac{5}{14}\\=\frac{280}{154}+\frac{55}{154}\\=\frac{280+55}{154}\\=\frac{335}{154}\)
8. \(\frac{6}{19}+\frac{11}{17}\\=\frac{102}{323}+\frac{209}{323}\\=\frac{102+209}{323}\\=\frac{311}{323}\)
9. \(\frac{16}{7}+\frac{10}{11}\\=\frac{176}{77}+\frac{70}{77}\\=\frac{176+70}{77}\\=\frac{246}{77}\)
10. \(\frac{3}{2}+\frac{18}{17}\\=\frac{51}{34}+\frac{36}{34}\\=\frac{51+36}{34}\\=\frac{87}{34}\)
11. \(\frac{11}{5}+\frac{4}{3}\\=\frac{33}{15}+\frac{20}{15}\\=\frac{33+20}{15}\\=\frac{53}{15}\)
12. \(\frac{1}{8}+\frac{19}{20}\\=\frac{5}{40}+\frac{38}{40}\\=\frac{5+38}{40}\\=\frac{43}{40}\)