Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{17}{20}+\frac{18}{11}\\=\frac{187}{220}+\frac{360}{220}\\=\frac{187+360}{220}\\=\frac{547}{220}\)
2. \(\frac{-18}{17}+\frac{20}{11}\\=\frac{-198}{187}+\frac{340}{187}\\=\frac{-198+340}{187}\\=\frac{142}{187}\)
3. \(\frac{-8}{17}+\frac{13}{3}\\=\frac{-24}{51}+\frac{221}{51}\\=\frac{-24+221}{51}\\=\frac{197}{51}\)
4. \(\frac{-3}{8}+\frac{7}{8}\\=\frac{-3+7}{8}\\=\frac{4}{8}\\=\frac{1}{2}\)
5. \(\frac{14}{9}+\frac{20}{13}\\=\frac{182}{117}+\frac{180}{117}\\=\frac{182+180}{117}\\=\frac{362}{117}\)
6. \(\frac{-4}{19}+\frac{5}{9}\\=\frac{-36}{171}+\frac{95}{171}\\=\frac{-36+95}{171}\\=\frac{59}{171}\)
7. \(\frac{-6}{5}+\frac{7}{3}\\=\frac{-18}{15}+\frac{35}{15}\\=\frac{-18+35}{15}\\=\frac{17}{15}\)
8. \(\frac{9}{8}+\frac{6}{13}\\=\frac{117}{104}+\frac{48}{104}\\=\frac{117+48}{104}\\=\frac{165}{104}\)
9. \(\frac{16}{3}+\frac{14}{3}\\=\frac{16+14}{3}\\=\frac{30}{3}\\=\frac{10}{1}\)
10. \(\frac{-20}{17}+\frac{19}{16}\\=\frac{-320}{272}+\frac{323}{272}\\=\frac{-320+323}{272}\\=\frac{3}{272}\)
11. \(\frac{-16}{3}+\frac{19}{15}\\=\frac{-80}{15}+\frac{19}{15}\\=\frac{-80+19}{15}\\=\frac{-61}{15}\\=\frac{61}{-15}\)
12. \(\frac{7}{6}+\frac{7}{16}\\=\frac{56}{48}+\frac{21}{48}\\=\frac{56+21}{48}\\=\frac{77}{48}\)