Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-6}{19}+\frac{9}{8}\\=\frac{-48}{152}+\frac{171}{152}\\=\frac{-48+171}{152}\\=\frac{123}{152}\)
2. \(\frac{-16}{7}+\frac{14}{19}\\=\frac{-304}{133}+\frac{98}{133}\\=\frac{-304+98}{133}\\=\frac{-206}{133}\)
3. \(\frac{16}{9}+\frac{14}{13}\\=\frac{208}{117}+\frac{126}{117}\\=\frac{208+126}{117}\\=\frac{334}{117}\)
4. \(\frac{-7}{15}+\frac{15}{7}\\=\frac{-49}{105}+\frac{225}{105}\\=\frac{-49+225}{105}\\=\frac{176}{105}\)
5. \(\frac{16}{19}+\frac{6}{5}\\=\frac{80}{95}+\frac{114}{95}\\=\frac{80+114}{95}\\=\frac{194}{95}\)
6. \(\frac{-5}{3}+\frac{15}{8}\\=\frac{-40}{24}+\frac{45}{24}\\=\frac{-40+45}{24}\\=\frac{5}{24}\)
7. \(\frac{17}{16}+\frac{7}{13}\\=\frac{221}{208}+\frac{112}{208}\\=\frac{221+112}{208}\\=\frac{333}{208}\)
8. \(\frac{10}{17}+\frac{11}{13}\\=\frac{130}{221}+\frac{187}{221}\\=\frac{130+187}{221}\\=\frac{317}{221}\)
9. \(\frac{-10}{17}+\frac{7}{2}\\=\frac{-20}{34}+\frac{119}{34}\\=\frac{-20+119}{34}\\=\frac{99}{34}\)
10. \(\frac{-2}{3}+\frac{13}{6}\\=\frac{-4}{6}+\frac{13}{6}\\=\frac{-4+13}{6}\\=\frac{9}{6}\\=\frac{3}{2}\)
11. \(\frac{-10}{17}+\frac{17}{9}\\=\frac{-90}{153}+\frac{289}{153}\\=\frac{-90+289}{153}\\=\frac{199}{153}\)
12. \(\frac{9}{10}+\frac{16}{19}\\=\frac{171}{190}+\frac{160}{190}\\=\frac{171+160}{190}\\=\frac{331}{190}\)