Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-4}{5}+\frac{8}{17}\\=\frac{-68}{85}+\frac{40}{85}\\=\frac{-68+40}{85}\\=\frac{-28}{85}\)
2. \(\frac{-19}{6}+\frac{14}{13}\\=\frac{-247}{78}+\frac{84}{78}\\=\frac{-247+84}{78}\\=\frac{-163}{78}\)
3. \(\frac{13}{18}+\frac{18}{7}\\=\frac{91}{126}+\frac{324}{126}\\=\frac{91+324}{126}\\=\frac{415}{126}\)
4. \(\frac{-11}{8}+\frac{7}{13}\\=\frac{-143}{104}+\frac{56}{104}\\=\frac{-143+56}{104}\\=\frac{-87}{104}\)
5. \(\frac{15}{7}+\frac{11}{20}\\=\frac{300}{140}+\frac{77}{140}\\=\frac{300+77}{140}\\=\frac{377}{140}\)
6. \(\frac{-13}{8}+\frac{13}{3}\\=\frac{-39}{24}+\frac{104}{24}\\=\frac{-39+104}{24}\\=\frac{65}{24}\)
7. \(\frac{-12}{13}+\frac{12}{5}\\=\frac{-60}{65}+\frac{156}{65}\\=\frac{-60+156}{65}\\=\frac{96}{65}\)
8. \(\frac{-17}{19}+\frac{20}{13}\\=\frac{-221}{247}+\frac{380}{247}\\=\frac{-221+380}{247}\\=\frac{159}{247}\)
9. \(\frac{-16}{3}+\frac{3}{5}\\=\frac{-80}{15}+\frac{9}{15}\\=\frac{-80+9}{15}\\=\frac{-71}{15}\)
10. \(\frac{1}{13}+\frac{19}{13}\\=\frac{1+19}{13}\\=\frac{20}{13}\)
11. \(\frac{-12}{13}+\frac{16}{13}\\=\frac{-12+16}{13}\\=\frac{4}{13}\)
12. \(\frac{11}{14}+\frac{15}{13}\\=\frac{143}{182}+\frac{210}{182}\\=\frac{143+210}{182}\\=\frac{353}{182}\)