Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-1}{8}+\frac{6}{17}\\=\frac{-17}{136}+\frac{48}{136}\\=\frac{-17+48}{136}\\=\frac{31}{136}\)
2. \(\frac{16}{5}+\frac{13}{10}\\=\frac{32}{10}+\frac{13}{10}\\=\frac{32+13}{10}\\=\frac{45}{10}\\=\frac{9}{2}\)
3. \(\frac{19}{5}+\frac{3}{4}\\=\frac{76}{20}+\frac{15}{20}\\=\frac{76+15}{20}\\=\frac{91}{20}\)
4. \(\frac{-19}{4}+\frac{15}{11}\\=\frac{-209}{44}+\frac{60}{44}\\=\frac{-209+60}{44}\\=\frac{-149}{44}\\=\frac{149}{-44}\)
5. \(\frac{3}{2}+\frac{14}{19}\\=\frac{57}{38}+\frac{28}{38}\\=\frac{57+28}{38}\\=\frac{85}{38}\)
6. \(\frac{16}{3}+\frac{11}{4}\\=\frac{64}{12}+\frac{33}{12}\\=\frac{64+33}{12}\\=\frac{97}{12}\)
7. \(\frac{-20}{7}+\frac{11}{14}\\=\frac{-40}{14}+\frac{11}{14}\\=\frac{-40+11}{14}\\=\frac{-29}{14}\\=\frac{29}{-14}\)
8. \(\frac{1}{8}+\frac{7}{8}\\=\frac{1+7}{8}\\=\frac{8}{8}\\=\frac{1}{1}\)
9. \(\frac{-6}{19}+\frac{5}{16}\\=\frac{-96}{304}+\frac{95}{304}\\=\frac{-96+95}{304}\\=\frac{-1}{304}\\=\frac{1}{-304}\)
10. \(\frac{-7}{8}+\frac{6}{11}\\=\frac{-77}{88}+\frac{48}{88}\\=\frac{-77+48}{88}\\=\frac{-29}{88}\)
11. \(\frac{-14}{3}+\frac{5}{6}\\=\frac{-28}{6}+\frac{5}{6}\\=\frac{-28+5}{6}\\=\frac{-23}{6}\)
12. \(\frac{5}{17}+\frac{14}{3}\\=\frac{15}{51}+\frac{238}{51}\\=\frac{15+238}{51}\\=\frac{253}{51}\)