Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{11}{5}+\frac{4}{19}\\=\frac{209}{95}+\frac{20}{95}\\=\frac{209+20}{95}\\=\frac{229}{95}\)
2. \(\frac{1}{13}+\frac{10}{11}\\=\frac{11}{143}+\frac{130}{143}\\=\frac{11+130}{143}\\=\frac{141}{143}\)
3. \(\frac{8}{5}+\frac{2}{11}\\=\frac{88}{55}+\frac{10}{55}\\=\frac{88+10}{55}\\=\frac{98}{55}\)
4. \(\frac{5}{6}+\frac{13}{3}\\=\frac{5+13}{6}\\=\frac{18}{6}\\=\frac{3}{1}\)
5. \(\frac{7}{10}+\frac{15}{8}\\=\frac{28}{40}+\frac{75}{40}\\=\frac{28+75}{40}\\=\frac{103}{40}\)
6. \(\frac{11}{19}+\frac{5}{9}\\=\frac{99}{171}+\frac{95}{171}\\=\frac{99+95}{171}\\=\frac{194}{171}\)
7. \(\frac{14}{3}+\frac{20}{3}\\=\frac{14+20}{3}\\=\frac{34}{3}\)
8. \(\frac{7}{16}+\frac{4}{9}\\=\frac{63}{144}+\frac{64}{144}\\=\frac{63+64}{144}\\=\frac{127}{144}\)
9. \(\frac{-11}{9}+\frac{14}{3}\\=\frac{-11+14}{9}\\=\frac{3}{9}\\=\frac{1}{3}\)
10. \(\frac{4}{5}+\frac{17}{18}\\=\frac{72}{90}+\frac{85}{90}\\=\frac{72+85}{90}\\=\frac{157}{90}\)
11. \(\frac{-20}{3}+\frac{8}{19}\\=\frac{-380}{57}+\frac{24}{57}\\=\frac{-380+24}{57}\\=\frac{-356}{57}\)
12. \(\frac{-2}{19}+\frac{14}{13}\\=\frac{-26}{247}+\frac{266}{247}\\=\frac{-26+266}{247}\\=\frac{240}{247}\)