Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-18}{7}+\frac{18}{19}\\=\frac{-342}{133}+\frac{126}{133}\\=\frac{-342+126}{133}\\=\frac{-216}{133}\)
2. \(\frac{4}{17}+\frac{16}{7}\\=\frac{28}{119}+\frac{272}{119}\\=\frac{28+272}{119}\\=\frac{300}{119}\)
3. \(\frac{-7}{20}+\frac{6}{17}\\=\frac{-119}{340}+\frac{120}{340}\\=\frac{-119+120}{340}\\=\frac{1}{340}\)
4. \(\frac{19}{10}+\frac{16}{15}\\=\frac{57}{30}+\frac{32}{30}\\=\frac{57+32}{30}\\=\frac{89}{30}\)
5. \(\frac{-6}{19}+\frac{9}{13}\\=\frac{-78}{247}+\frac{171}{247}\\=\frac{-78+171}{247}\\=\frac{93}{247}\)
6. \(\frac{13}{18}+\frac{16}{11}\\=\frac{143}{198}+\frac{288}{198}\\=\frac{143+288}{198}\\=\frac{431}{198}\)
7. \(\frac{-14}{15}+\frac{20}{17}\\=\frac{-238}{255}+\frac{300}{255}\\=\frac{-238+300}{255}\\=\frac{62}{255}\)
8. \(\frac{-14}{9}+\frac{18}{17}\\=\frac{-238}{153}+\frac{162}{153}\\=\frac{-238+162}{153}\\=\frac{-76}{153}\)
9. \(\frac{10}{9}+\frac{7}{5}\\=\frac{50}{45}+\frac{63}{45}\\=\frac{50+63}{45}\\=\frac{113}{45}\)
10. \(\frac{1}{11}+\frac{5}{16}\\=\frac{16}{176}+\frac{55}{176}\\=\frac{16+55}{176}\\=\frac{71}{176}\)
11. \(\frac{15}{4}+\frac{13}{17}\\=\frac{255}{68}+\frac{52}{68}\\=\frac{255+52}{68}\\=\frac{307}{68}\)
12. \(\frac{-10}{3}+\frac{12}{13}\\=\frac{-130}{39}+\frac{36}{39}\\=\frac{-130+36}{39}\\=\frac{-94}{39}\)