Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{10}{17}+\frac{6}{19}\\=\frac{190}{323}+\frac{102}{323}\\=\frac{190+102}{323}\\=\frac{292}{323}\)
2. \(\frac{10}{13}+\frac{8}{13}\\=\frac{10+8}{13}\\=\frac{18}{13}\)
3. \(\frac{-8}{7}+\frac{9}{5}\\=\frac{-40}{35}+\frac{63}{35}\\=\frac{-40+63}{35}\\=\frac{23}{35}\)
4. \(\frac{13}{8}+\frac{15}{4}\\=\frac{13+15}{8}\\=\frac{28}{8}\\=\frac{7}{2}\)
5. \(\frac{11}{15}+\frac{15}{8}\\=\frac{88}{120}+\frac{225}{120}\\=\frac{88+225}{120}\\=\frac{313}{120}\)
6. \(\frac{-11}{7}+\frac{7}{9}\\=\frac{-99}{63}+\frac{49}{63}\\=\frac{-99+49}{63}\\=\frac{-50}{63}\\=\frac{50}{-63}\)
7. \(\frac{-5}{4}+\frac{8}{3}\\=\frac{-15}{12}+\frac{32}{12}\\=\frac{-15+32}{12}\\=\frac{17}{12}\)
8. \(\frac{-8}{15}+\frac{9}{5}\\=\frac{-8+9}{15}\\=\frac{1}{15}\)
9. \(\frac{5}{17}+\frac{3}{20}\\=\frac{100}{340}+\frac{51}{340}\\=\frac{100+51}{340}\\=\frac{151}{340}\)
10. \(\frac{-16}{5}+\frac{15}{19}\\=\frac{-304}{95}+\frac{75}{95}\\=\frac{-304+75}{95}\\=\frac{-229}{95}\\=\frac{229}{-95}\)
11. \(\frac{14}{17}+\frac{8}{3}\\=\frac{42}{51}+\frac{136}{51}\\=\frac{42+136}{51}\\=\frac{178}{51}\)
12. \(\frac{-11}{13}+\frac{17}{20}\\=\frac{-220}{260}+\frac{221}{260}\\=\frac{-220+221}{260}\\=\frac{1}{260}\)