Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-3}{16}+\frac{5}{2}\\=\frac{-3+5}{16}\\=\frac{2}{16}\\=\frac{1}{8}\)
2. \(\frac{3}{2}+\frac{18}{13}\\=\frac{39}{26}+\frac{36}{26}\\=\frac{39+36}{26}\\=\frac{75}{26}\)
3. \(\frac{3}{4}+\frac{11}{15}\\=\frac{45}{60}+\frac{44}{60}\\=\frac{45+44}{60}\\=\frac{89}{60}\)
4. \(\frac{-8}{3}+\frac{6}{19}\\=\frac{-152}{57}+\frac{18}{57}\\=\frac{-152+18}{57}\\=\frac{-134}{57}\\=\frac{134}{-57}\)
5. \(\frac{7}{10}+\frac{5}{2}\\=\frac{7+5}{10}\\=\frac{12}{10}\\=\frac{6}{5}\)
6. \(\frac{-4}{5}+\frac{2}{17}\\=\frac{-68}{85}+\frac{10}{85}\\=\frac{-68+10}{85}\\=\frac{-58}{85}\\=\frac{58}{-85}\)
7. \(\frac{-4}{17}+\frac{14}{3}\\=\frac{-12}{51}+\frac{238}{51}\\=\frac{-12+238}{51}\\=\frac{226}{51}\)
8. \(\frac{5}{6}+\frac{7}{15}\\=\frac{25}{30}+\frac{14}{30}\\=\frac{25+14}{30}\\=\frac{39}{30}\\=\frac{13}{10}\)
9. \(\frac{2}{19}+\frac{7}{16}\\=\frac{32}{304}+\frac{133}{304}\\=\frac{32+133}{304}\\=\frac{165}{304}\)
10. \(\frac{2}{3}+\frac{17}{15}\\=\frac{10}{15}+\frac{17}{15}\\=\frac{10+17}{15}\\=\frac{27}{15}\\=\frac{9}{5}\)
11. \(\frac{3}{2}+\frac{7}{15}\\=\frac{45}{30}+\frac{14}{30}\\=\frac{45+14}{30}\\=\frac{59}{30}\)
12. \(\frac{2}{3}+\frac{8}{19}\\=\frac{38}{57}+\frac{24}{57}\\=\frac{38+24}{57}\\=\frac{62}{57}\)