Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-19}{9}+\frac{9}{11}\\=\frac{-209}{99}+\frac{81}{99}\\=\frac{-209+81}{99}\\=\frac{-128}{99}\\=\frac{128}{-99}\)
2. \(\frac{19}{8}+\frac{9}{7}\\=\frac{133}{56}+\frac{72}{56}\\=\frac{133+72}{56}\\=\frac{205}{56}\)
3. \(\frac{-4}{17}+\frac{9}{17}\\=\frac{-4+9}{17}\\=\frac{5}{17}\)
4. \(\frac{14}{19}+\frac{16}{3}\\=\frac{42}{57}+\frac{304}{57}\\=\frac{42+304}{57}\\=\frac{346}{57}\)
5. \(\frac{-19}{12}+\frac{12}{7}\\=\frac{-133}{84}+\frac{144}{84}\\=\frac{-133+144}{84}\\=\frac{11}{84}\)
6. \(\frac{-12}{5}+\frac{15}{19}\\=\frac{-228}{95}+\frac{75}{95}\\=\frac{-228+75}{95}\\=\frac{-153}{95}\)
7. \(\frac{-3}{8}+\frac{16}{15}\\=\frac{-45}{120}+\frac{128}{120}\\=\frac{-45+128}{120}\\=\frac{83}{120}\)
8. \(\frac{11}{15}+\frac{17}{3}\\=\frac{11+17}{15}\\=\frac{28}{15}\)
9. \(\frac{11}{2}+\frac{18}{5}\\=\frac{55}{10}+\frac{36}{10}\\=\frac{55+36}{10}\\=\frac{91}{10}\)
10. \(\frac{-15}{19}+\frac{10}{7}\\=\frac{-105}{133}+\frac{190}{133}\\=\frac{-105+190}{133}\\=\frac{85}{133}\)
11. \(\frac{12}{19}+\frac{20}{17}\\=\frac{204}{323}+\frac{380}{323}\\=\frac{204+380}{323}\\=\frac{584}{323}\)
12. \(\frac{17}{2}+\frac{14}{13}\\=\frac{221}{26}+\frac{28}{26}\\=\frac{221+28}{26}\\=\frac{249}{26}\)