Breuken optellen (reeks 2)

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Tel de breuken op

1. \(\frac{7}{4}+\frac{18}{13}\)
2. \(\frac{5}{16}+\frac{11}{17}\)
3. \(\frac{-12}{17}+\frac{9}{13}\)
4. \(\frac{-8}{3}+\frac{20}{7}\)
5. \(\frac{18}{19}+\frac{18}{17}\)
6. \(\frac{-5}{6}+\frac{14}{13}\)
7. \(\frac{-12}{17}+\frac{6}{11}\)
8. \(\frac{15}{16}+\frac{14}{3}\)
9. \(\frac{9}{4}+\frac{6}{19}\)
10. \(\frac{-15}{13}+\frac{17}{6}\)
11. \(\frac{10}{3}+\frac{16}{9}\)
12. \(\frac{7}{13}+\frac{4}{19}\)

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Tel de breuken op

Verbetersleutel

1. \(\frac{7}{4}+\frac{18}{13}\\=\frac{91}{52}+\frac{72}{52}\\=\frac{91+72}{52}\\=\frac{163}{52}\)
2. \(\frac{5}{16}+\frac{11}{17}\\=\frac{85}{272}+\frac{176}{272}\\=\frac{85+176}{272}\\=\frac{261}{272}\)
3. \(\frac{-12}{17}+\frac{9}{13}\\=\frac{-156}{221}+\frac{153}{221}\\=\frac{-156+153}{221}\\=\frac{-3}{221}\\=\frac{3}{-221}\)
4. \(\frac{-8}{3}+\frac{20}{7}\\=\frac{-56}{21}+\frac{60}{21}\\=\frac{-56+60}{21}\\=\frac{4}{21}\)
5. \(\frac{18}{19}+\frac{18}{17}\\=\frac{306}{323}+\frac{342}{323}\\=\frac{306+342}{323}\\=\frac{648}{323}\)
6. \(\frac{-5}{6}+\frac{14}{13}\\=\frac{-65}{78}+\frac{84}{78}\\=\frac{-65+84}{78}\\=\frac{19}{78}\)
7. \(\frac{-12}{17}+\frac{6}{11}\\=\frac{-132}{187}+\frac{102}{187}\\=\frac{-132+102}{187}\\=\frac{-30}{187}\)
8. \(\frac{15}{16}+\frac{14}{3}\\=\frac{45}{48}+\frac{224}{48}\\=\frac{45+224}{48}\\=\frac{269}{48}\)
9. \(\frac{9}{4}+\frac{6}{19}\\=\frac{171}{76}+\frac{24}{76}\\=\frac{171+24}{76}\\=\frac{195}{76}\)
10. \(\frac{-15}{13}+\frac{17}{6}\\=\frac{-90}{78}+\frac{221}{78}\\=\frac{-90+221}{78}\\=\frac{131}{78}\)
11. \(\frac{10}{3}+\frac{16}{9}\\=\frac{30}{9}+\frac{16}{9}\\=\frac{30+16}{9}\\=\frac{46}{9}\)
12. \(\frac{7}{13}+\frac{4}{19}\\=\frac{133}{247}+\frac{52}{247}\\=\frac{133+52}{247}\\=\frac{185}{247}\)