Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-3}{10}+\frac{12}{7}\\=\frac{-21}{70}+\frac{120}{70}\\=\frac{-21+120}{70}\\=\frac{99}{70}\)
2. \(\frac{11}{15}+\frac{5}{14}\\=\frac{154}{210}+\frac{75}{210}\\=\frac{154+75}{210}\\=\frac{229}{210}\)
3. \(\frac{15}{4}+\frac{9}{13}\\=\frac{195}{52}+\frac{36}{52}\\=\frac{195+36}{52}\\=\frac{231}{52}\)
4. \(\frac{15}{19}+\frac{7}{19}\\=\frac{15+7}{19}\\=\frac{22}{19}\)
5. \(\frac{10}{3}+\frac{2}{13}\\=\frac{130}{39}+\frac{6}{39}\\=\frac{130+6}{39}\\=\frac{136}{39}\)
6. \(\frac{13}{9}+\frac{3}{4}\\=\frac{52}{36}+\frac{27}{36}\\=\frac{52+27}{36}\\=\frac{79}{36}\)
7. \(\frac{14}{9}+\frac{6}{5}\\=\frac{70}{45}+\frac{54}{45}\\=\frac{70+54}{45}\\=\frac{124}{45}\)
8. \(\frac{-18}{19}+\frac{10}{9}\\=\frac{-162}{171}+\frac{190}{171}\\=\frac{-162+190}{171}\\=\frac{28}{171}\)
9. \(\frac{9}{16}+\frac{9}{13}\\=\frac{117}{208}+\frac{144}{208}\\=\frac{117+144}{208}\\=\frac{261}{208}\)
10. \(\frac{16}{19}+\frac{3}{2}\\=\frac{32}{38}+\frac{57}{38}\\=\frac{32+57}{38}\\=\frac{89}{38}\)
11. \(\frac{-16}{17}+\frac{11}{13}\\=\frac{-208}{221}+\frac{187}{221}\\=\frac{-208+187}{221}\\=\frac{-21}{221}\)
12. \(\frac{-13}{9}+\frac{6}{5}\\=\frac{-65}{45}+\frac{54}{45}\\=\frac{-65+54}{45}\\=\frac{-11}{45}\)