Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-11}{3}+\frac{15}{14}\\=\frac{-154}{42}+\frac{45}{42}\\=\frac{-154+45}{42}\\=\frac{-109}{42}\)
2. \(\frac{-20}{11}+\frac{11}{14}\\=\frac{-280}{154}+\frac{121}{154}\\=\frac{-280+121}{154}\\=\frac{-159}{154}\\=\frac{159}{-154}\)
3. \(\frac{-2}{13}+\frac{18}{17}\\=\frac{-34}{221}+\frac{234}{221}\\=\frac{-34+234}{221}\\=\frac{200}{221}\)
4. \(\frac{2}{15}+\frac{12}{13}\\=\frac{26}{195}+\frac{180}{195}\\=\frac{26+180}{195}\\=\frac{206}{195}\)
5. \(\frac{-3}{4}+\frac{7}{2}\\=\frac{-3+7}{4}\\=\frac{4}{4}\\=\frac{1}{1}\)
6. \(\frac{-5}{2}+\frac{8}{17}\\=\frac{-85}{34}+\frac{16}{34}\\=\frac{-85+16}{34}\\=\frac{-69}{34}\\=\frac{69}{-34}\)
7. \(\frac{7}{9}+\frac{5}{18}\\=\frac{14}{18}+\frac{5}{18}\\=\frac{14+5}{18}\\=\frac{19}{18}\)
8. \(\frac{-13}{16}+\frac{13}{9}\\=\frac{-117}{144}+\frac{208}{144}\\=\frac{-117+208}{144}\\=\frac{91}{144}\)
9. \(\frac{9}{14}+\frac{12}{17}\\=\frac{153}{238}+\frac{168}{238}\\=\frac{153+168}{238}\\=\frac{321}{238}\)
10. \(\frac{-7}{2}+\frac{8}{7}\\=\frac{-49}{14}+\frac{16}{14}\\=\frac{-49+16}{14}\\=\frac{-33}{14}\\=\frac{33}{-14}\)
11. \(\frac{-8}{11}+\frac{12}{7}\\=\frac{-56}{77}+\frac{132}{77}\\=\frac{-56+132}{77}\\=\frac{76}{77}\)
12. \(\frac{-1}{6}+\frac{12}{11}\\=\frac{-11}{66}+\frac{72}{66}\\=\frac{-11+72}{66}\\=\frac{61}{66}\)