Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{19}{2}+\frac{13}{6}\\=\frac{57}{6}+\frac{13}{6}\\=\frac{57+13}{6}\\=\frac{70}{6}\\=\frac{35}{3}\)
2. \(\frac{-8}{9}+\frac{9}{8}\\=\frac{-64}{72}+\frac{81}{72}\\=\frac{-64+81}{72}\\=\frac{17}{72}\)
3. \(\frac{-5}{3}+\frac{10}{11}\\=\frac{-55}{33}+\frac{30}{33}\\=\frac{-55+30}{33}\\=\frac{-25}{33}\\=\frac{25}{-33}\)
4. \(\frac{-10}{13}+\frac{16}{13}\\=\frac{-10+16}{13}\\=\frac{6}{13}\)
5. \(\frac{-5}{9}+\frac{3}{19}\\=\frac{-95}{171}+\frac{27}{171}\\=\frac{-95+27}{171}\\=\frac{-68}{171}\\=\frac{68}{-171}\)
6. \(\frac{-6}{13}+\frac{8}{19}\\=\frac{-114}{247}+\frac{104}{247}\\=\frac{-114+104}{247}\\=\frac{-10}{247}\)
7. \(\frac{15}{7}+\frac{18}{13}\\=\frac{195}{91}+\frac{126}{91}\\=\frac{195+126}{91}\\=\frac{321}{91}\)
8. \(\frac{-16}{19}+\frac{14}{9}\\=\frac{-144}{171}+\frac{266}{171}\\=\frac{-144+266}{171}\\=\frac{122}{171}\)
9. \(\frac{-8}{9}+\frac{6}{17}\\=\frac{-136}{153}+\frac{54}{153}\\=\frac{-136+54}{153}\\=\frac{-82}{153}\\=\frac{82}{-153}\)
10. \(\frac{11}{9}+\frac{5}{13}\\=\frac{143}{117}+\frac{45}{117}\\=\frac{143+45}{117}\\=\frac{188}{117}\)
11. \(\frac{3}{13}+\frac{16}{15}\\=\frac{45}{195}+\frac{208}{195}\\=\frac{45+208}{195}\\=\frac{253}{195}\)
12. \(\frac{12}{7}+\frac{12}{19}\\=\frac{228}{133}+\frac{84}{133}\\=\frac{228+84}{133}\\=\frac{312}{133}\)