Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{10}{19}+\frac{5}{7}\\=\frac{70}{133}+\frac{95}{133}\\=\frac{70+95}{133}\\=\frac{165}{133}\)
2. \(\frac{4}{7}+\frac{2}{7}\\=\frac{4+2}{7}\\=\frac{6}{7}\)
3. \(\frac{-11}{8}+\frac{3}{10}\\=\frac{-55}{40}+\frac{12}{40}\\=\frac{-55+12}{40}\\=\frac{-43}{40}\)
4. \(\frac{-6}{19}+\frac{10}{7}\\=\frac{-42}{133}+\frac{190}{133}\\=\frac{-42+190}{133}\\=\frac{148}{133}\)
5. \(\frac{12}{5}+\frac{12}{7}\\=\frac{84}{35}+\frac{60}{35}\\=\frac{84+60}{35}\\=\frac{144}{35}\)
6. \(\frac{-4}{13}+\frac{15}{16}\\=\frac{-64}{208}+\frac{195}{208}\\=\frac{-64+195}{208}\\=\frac{131}{208}\)
7. \(\frac{2}{5}+\frac{16}{11}\\=\frac{22}{55}+\frac{80}{55}\\=\frac{22+80}{55}\\=\frac{102}{55}\)
8. \(\frac{16}{11}+\frac{6}{7}\\=\frac{112}{77}+\frac{66}{77}\\=\frac{112+66}{77}\\=\frac{178}{77}\)
9. \(\frac{-2}{17}+\frac{4}{7}\\=\frac{-14}{119}+\frac{68}{119}\\=\frac{-14+68}{119}\\=\frac{54}{119}\)
10. \(\frac{-18}{13}+\frac{14}{13}\\=\frac{-18+14}{13}\\=\frac{-4}{13}\)
11. \(\frac{7}{13}+\frac{2}{3}\\=\frac{21}{39}+\frac{26}{39}\\=\frac{21+26}{39}\\=\frac{47}{39}\)
12. \(\frac{-13}{20}+\frac{17}{15}\\=\frac{-39}{60}+\frac{68}{60}\\=\frac{-39+68}{60}\\=\frac{29}{60}\)