Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{15}{16}+\frac{18}{7}\\=\frac{105}{112}+\frac{288}{112}\\=\frac{105+288}{112}\\=\frac{393}{112}\)
2. \(\frac{-9}{7}+\frac{3}{19}\\=\frac{-171}{133}+\frac{21}{133}\\=\frac{-171+21}{133}\\=\frac{-150}{133}\\=\frac{150}{-133}\)
3. \(\frac{-3}{19}+\frac{15}{8}\\=\frac{-24}{152}+\frac{285}{152}\\=\frac{-24+285}{152}\\=\frac{261}{152}\)
4. \(\frac{1}{11}+\frac{12}{17}\\=\frac{17}{187}+\frac{132}{187}\\=\frac{17+132}{187}\\=\frac{149}{187}\)
5. \(\frac{6}{5}+\frac{17}{13}\\=\frac{78}{65}+\frac{85}{65}\\=\frac{78+85}{65}\\=\frac{163}{65}\)
6. \(\frac{-7}{18}+\frac{12}{19}\\=\frac{-133}{342}+\frac{216}{342}\\=\frac{-133+216}{342}\\=\frac{83}{342}\)
7. \(\frac{-15}{19}+\frac{8}{5}\\=\frac{-75}{95}+\frac{152}{95}\\=\frac{-75+152}{95}\\=\frac{77}{95}\)
8. \(\frac{-3}{7}+\frac{8}{3}\\=\frac{-9}{21}+\frac{56}{21}\\=\frac{-9+56}{21}\\=\frac{47}{21}\)
9. \(\frac{7}{17}+\frac{20}{3}\\=\frac{21}{51}+\frac{340}{51}\\=\frac{21+340}{51}\\=\frac{361}{51}\)
10. \(\frac{15}{19}+\frac{14}{13}\\=\frac{195}{247}+\frac{266}{247}\\=\frac{195+266}{247}\\=\frac{461}{247}\)
11. \(\frac{11}{13}+\frac{20}{3}\\=\frac{33}{39}+\frac{260}{39}\\=\frac{33+260}{39}\\=\frac{293}{39}\)
12. \(\frac{-9}{5}+\frac{20}{13}\\=\frac{-117}{65}+\frac{100}{65}\\=\frac{-117+100}{65}\\=\frac{-17}{65}\\=\frac{17}{-65}\)