Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-17}{5}+\frac{4}{19}\\=\frac{-323}{95}+\frac{20}{95}\\=\frac{-323+20}{95}\\=\frac{-303}{95}\\=\frac{303}{-95}\)
2. \(\frac{7}{2}+\frac{19}{15}\\=\frac{105}{30}+\frac{38}{30}\\=\frac{105+38}{30}\\=\frac{143}{30}\)
3. \(\frac{19}{18}+\frac{20}{17}\\=\frac{323}{306}+\frac{360}{306}\\=\frac{323+360}{306}\\=\frac{683}{306}\)
4. \(\frac{2}{15}+\frac{5}{12}\\=\frac{8}{60}+\frac{25}{60}\\=\frac{8+25}{60}\\=\frac{33}{60}\\=\frac{11}{20}\)
5. \(\frac{6}{5}+\frac{6}{7}\\=\frac{42}{35}+\frac{30}{35}\\=\frac{42+30}{35}\\=\frac{72}{35}\)
6. \(\frac{19}{18}+\frac{12}{13}\\=\frac{247}{234}+\frac{216}{234}\\=\frac{247+216}{234}\\=\frac{463}{234}\)
7. \(\frac{-3}{10}+\frac{15}{14}\\=\frac{-21}{70}+\frac{75}{70}\\=\frac{-21+75}{70}\\=\frac{54}{70}\\=\frac{27}{35}\)
8. \(\frac{2}{5}+\frac{9}{4}\\=\frac{8}{20}+\frac{45}{20}\\=\frac{8+45}{20}\\=\frac{53}{20}\)
9. \(\frac{2}{11}+\frac{8}{9}\\=\frac{18}{99}+\frac{88}{99}\\=\frac{18+88}{99}\\=\frac{106}{99}\)
10. \(\frac{1}{19}+\frac{17}{14}\\=\frac{14}{266}+\frac{323}{266}\\=\frac{14+323}{266}\\=\frac{337}{266}\)
11. \(\frac{19}{5}+\frac{17}{11}\\=\frac{209}{55}+\frac{85}{55}\\=\frac{209+85}{55}\\=\frac{294}{55}\)
12. \(\frac{-16}{7}+\frac{7}{18}\\=\frac{-288}{126}+\frac{49}{126}\\=\frac{-288+49}{126}\\=\frac{-239}{126}\\=\frac{239}{-126}\)