Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-12}{5}+\frac{18}{11}\\=\frac{-132}{55}+\frac{90}{55}\\=\frac{-132+90}{55}\\=\frac{-42}{55}\)
2. \(\frac{12}{5}+\frac{3}{16}\\=\frac{192}{80}+\frac{15}{80}\\=\frac{192+15}{80}\\=\frac{207}{80}\)
3. \(\frac{-16}{7}+\frac{4}{3}\\=\frac{-48}{21}+\frac{28}{21}\\=\frac{-48+28}{21}\\=\frac{-20}{21}\)
4. \(\frac{-11}{17}+\frac{7}{9}\\=\frac{-99}{153}+\frac{119}{153}\\=\frac{-99+119}{153}\\=\frac{20}{153}\)
5. \(\frac{-14}{15}+\frac{20}{19}\\=\frac{-266}{285}+\frac{300}{285}\\=\frac{-266+300}{285}\\=\frac{34}{285}\)
6. \(\frac{15}{8}+\frac{2}{13}\\=\frac{195}{104}+\frac{16}{104}\\=\frac{195+16}{104}\\=\frac{211}{104}\)
7. \(\frac{17}{16}+\frac{15}{19}\\=\frac{323}{304}+\frac{240}{304}\\=\frac{323+240}{304}\\=\frac{563}{304}\)
8. \(\frac{-17}{13}+\frac{13}{14}\\=\frac{-238}{182}+\frac{169}{182}\\=\frac{-238+169}{182}\\=\frac{-69}{182}\)
9. \(\frac{18}{11}+\frac{14}{3}\\=\frac{54}{33}+\frac{154}{33}\\=\frac{54+154}{33}\\=\frac{208}{33}\)
10. \(\frac{-11}{3}+\frac{16}{3}\\=\frac{-11+16}{3}\\=\frac{5}{3}\)
11. \(\frac{14}{5}+\frac{18}{19}\\=\frac{266}{95}+\frac{90}{95}\\=\frac{266+90}{95}\\=\frac{356}{95}\)
12. \(\frac{-6}{13}+\frac{5}{12}\\=\frac{-72}{156}+\frac{65}{156}\\=\frac{-72+65}{156}\\=\frac{-7}{156}\\=\frac{7}{-156}\)