Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{17}{10}+\frac{14}{13}\\=\frac{221}{130}+\frac{140}{130}\\=\frac{221+140}{130}\\=\frac{361}{130}\)
2. \(\frac{-2}{3}+\frac{16}{9}\\=\frac{-6}{9}+\frac{16}{9}\\=\frac{-6+16}{9}\\=\frac{10}{9}\)
3. \(\frac{7}{8}+\frac{7}{2}\\=\frac{7+7}{8}\\=\frac{14}{8}\\=\frac{7}{4}\)
4. \(\frac{15}{4}+\frac{2}{3}\\=\frac{45}{12}+\frac{8}{12}\\=\frac{45+8}{12}\\=\frac{53}{12}\)
5. \(\frac{-20}{7}+\frac{19}{15}\\=\frac{-300}{105}+\frac{133}{105}\\=\frac{-300+133}{105}\\=\frac{-167}{105}\)
6. \(\frac{-4}{5}+\frac{16}{9}\\=\frac{-36}{45}+\frac{80}{45}\\=\frac{-36+80}{45}\\=\frac{44}{45}\)
7. \(\frac{-10}{17}+\frac{3}{13}\\=\frac{-130}{221}+\frac{51}{221}\\=\frac{-130+51}{221}\\=\frac{-79}{221}\\=\frac{79}{-221}\)
8. \(\frac{-5}{18}+\frac{15}{19}\\=\frac{-95}{342}+\frac{270}{342}\\=\frac{-95+270}{342}\\=\frac{175}{342}\)
9. \(\frac{13}{4}+\frac{11}{2}\\=\frac{13+11}{4}\\=\frac{24}{4}\\=\frac{6}{1}\)
10. \(\frac{-4}{13}+\frac{17}{3}\\=\frac{-12}{39}+\frac{221}{39}\\=\frac{-12+221}{39}\\=\frac{209}{39}\)
11. \(\frac{15}{4}+\frac{16}{19}\\=\frac{285}{76}+\frac{64}{76}\\=\frac{285+64}{76}\\=\frac{349}{76}\)
12. \(\frac{6}{13}+\frac{19}{12}\\=\frac{72}{156}+\frac{247}{156}\\=\frac{72+247}{156}\\=\frac{319}{156}\)