Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{6}{13}+\frac{9}{2}\\=\frac{12}{26}+\frac{117}{26}\\=\frac{12+117}{26}\\=\frac{129}{26}\)
2. \(\frac{-17}{8}+\frac{7}{9}\\=\frac{-153}{72}+\frac{56}{72}\\=\frac{-153+56}{72}\\=\frac{-97}{72}\)
3. \(\frac{4}{3}+\frac{17}{20}\\=\frac{80}{60}+\frac{51}{60}\\=\frac{80+51}{60}\\=\frac{131}{60}\)
4. \(\frac{-4}{5}+\frac{20}{17}\\=\frac{-68}{85}+\frac{100}{85}\\=\frac{-68+100}{85}\\=\frac{32}{85}\)
5. \(\frac{-5}{3}+\frac{2}{3}\\=\frac{-5+2}{3}\\=\frac{-3}{3}\\=\frac{-1}{1}\)
6. \(\frac{-20}{7}+\frac{20}{9}\\=\frac{-180}{63}+\frac{140}{63}\\=\frac{-180+140}{63}\\=\frac{-40}{63}\)
7. \(\frac{8}{3}+\frac{7}{10}\\=\frac{80}{30}+\frac{21}{30}\\=\frac{80+21}{30}\\=\frac{101}{30}\)
8. \(\frac{19}{7}+\frac{14}{11}\\=\frac{209}{77}+\frac{98}{77}\\=\frac{209+98}{77}\\=\frac{307}{77}\)
9. \(\frac{-3}{14}+\frac{16}{7}\\=\frac{-3+16}{14}\\=\frac{13}{14}\)
10. \(\frac{-1}{4}+\frac{3}{8}\\=\frac{-2}{8}+\frac{3}{8}\\=\frac{-2+3}{8}\\=\frac{1}{8}\)
11. \(\frac{20}{13}+\frac{10}{3}\\=\frac{60}{39}+\frac{130}{39}\\=\frac{60+130}{39}\\=\frac{190}{39}\)
12. \(\frac{-1}{13}+\frac{10}{17}\\=\frac{-17}{221}+\frac{130}{221}\\=\frac{-17+130}{221}\\=\frac{113}{221}\)