Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-1}{10}+\frac{9}{16}\\=\frac{-8}{80}+\frac{45}{80}\\=\frac{-8+45}{80}\\=\frac{37}{80}\)
2. \(\frac{8}{5}+\frac{8}{15}\\=\frac{24}{15}+\frac{8}{15}\\=\frac{24+8}{15}\\=\frac{32}{15}\)
3. \(\frac{-1}{15}+\frac{9}{16}\\=\frac{-16}{240}+\frac{135}{240}\\=\frac{-16+135}{240}\\=\frac{119}{240}\)
4. \(\frac{-11}{17}+\frac{17}{10}\\=\frac{-110}{170}+\frac{289}{170}\\=\frac{-110+289}{170}\\=\frac{179}{170}\)
5. \(\frac{-6}{7}+\frac{19}{3}\\=\frac{-18}{21}+\frac{133}{21}\\=\frac{-18+133}{21}\\=\frac{115}{21}\)
6. \(\frac{6}{19}+\frac{15}{19}\\=\frac{6+15}{19}\\=\frac{21}{19}\)
7. \(\frac{15}{19}+\frac{19}{2}\\=\frac{30}{38}+\frac{361}{38}\\=\frac{30+361}{38}\\=\frac{391}{38}\)
8. \(\frac{-17}{15}+\frac{19}{12}\\=\frac{-68}{60}+\frac{95}{60}\\=\frac{-68+95}{60}\\=\frac{27}{60}\\=\frac{9}{20}\)
9. \(\frac{4}{17}+\frac{8}{17}\\=\frac{4+8}{17}\\=\frac{12}{17}\)
10. \(\frac{4}{5}+\frac{4}{15}\\=\frac{12}{15}+\frac{4}{15}\\=\frac{12+4}{15}\\=\frac{16}{15}\)
11. \(\frac{-5}{11}+\frac{5}{2}\\=\frac{-10}{22}+\frac{55}{22}\\=\frac{-10+55}{22}\\=\frac{45}{22}\)
12. \(\frac{-1}{15}+\frac{14}{11}\\=\frac{-11}{165}+\frac{210}{165}\\=\frac{-11+210}{165}\\=\frac{199}{165}\)