Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-12}{11}+\frac{7}{10}\\=\frac{-120}{110}+\frac{77}{110}\\=\frac{-120+77}{110}\\=\frac{-43}{110}\)
2. \(\frac{-18}{19}+\frac{4}{9}\\=\frac{-162}{171}+\frac{76}{171}\\=\frac{-162+76}{171}\\=\frac{-86}{171}\\=\frac{86}{-171}\)
3. \(\frac{-13}{18}+\frac{5}{4}\\=\frac{-26}{36}+\frac{45}{36}\\=\frac{-26+45}{36}\\=\frac{19}{36}\)
4. \(\frac{-8}{19}+\frac{20}{11}\\=\frac{-88}{209}+\frac{380}{209}\\=\frac{-88+380}{209}\\=\frac{292}{209}\)
5. \(\frac{-6}{7}+\frac{9}{11}\\=\frac{-66}{77}+\frac{63}{77}\\=\frac{-66+63}{77}\\=\frac{-3}{77}\\=\frac{3}{-77}\)
6. \(\frac{-16}{7}+\frac{10}{7}\\=\frac{-16+10}{7}\\=\frac{-6}{7}\)
7. \(\frac{-1}{11}+\frac{20}{13}\\=\frac{-13}{143}+\frac{220}{143}\\=\frac{-13+220}{143}\\=\frac{207}{143}\)
8. \(\frac{5}{2}+\frac{5}{16}\\=\frac{40}{16}+\frac{5}{16}\\=\frac{40+5}{16}\\=\frac{45}{16}\)
9. \(\frac{19}{16}+\frac{2}{5}\\=\frac{95}{80}+\frac{32}{80}\\=\frac{95+32}{80}\\=\frac{127}{80}\)
10. \(\frac{-17}{14}+\frac{8}{11}\\=\frac{-187}{154}+\frac{112}{154}\\=\frac{-187+112}{154}\\=\frac{-75}{154}\)
11. \(\frac{5}{16}+\frac{12}{19}\\=\frac{95}{304}+\frac{192}{304}\\=\frac{95+192}{304}\\=\frac{287}{304}\)
12. \(\frac{-20}{17}+\frac{3}{2}\\=\frac{-40}{34}+\frac{51}{34}\\=\frac{-40+51}{34}\\=\frac{11}{34}\)