Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-10}{7}+\frac{2}{7}\\=\frac{-10+2}{7}\\=\frac{-8}{7}\\=\frac{8}{-7}\)
2. \(\frac{8}{3}+\frac{18}{7}\\=\frac{56}{21}+\frac{54}{21}\\=\frac{56+54}{21}\\=\frac{110}{21}\)
3. \(\frac{17}{10}+\frac{6}{17}\\=\frac{289}{170}+\frac{60}{170}\\=\frac{289+60}{170}\\=\frac{349}{170}\)
4. \(\frac{6}{5}+\frac{17}{13}\\=\frac{78}{65}+\frac{85}{65}\\=\frac{78+85}{65}\\=\frac{163}{65}\)
5. \(\frac{-20}{3}+\frac{11}{19}\\=\frac{-380}{57}+\frac{33}{57}\\=\frac{-380+33}{57}\\=\frac{-347}{57}\\=\frac{347}{-57}\)
6. \(\frac{-19}{16}+\frac{18}{5}\\=\frac{-95}{80}+\frac{288}{80}\\=\frac{-95+288}{80}\\=\frac{193}{80}\)
7. \(\frac{-8}{17}+\frac{18}{11}\\=\frac{-88}{187}+\frac{306}{187}\\=\frac{-88+306}{187}\\=\frac{218}{187}\)
8. \(\frac{-6}{19}+\frac{2}{5}\\=\frac{-30}{95}+\frac{38}{95}\\=\frac{-30+38}{95}\\=\frac{8}{95}\)
9. \(\frac{-8}{9}+\frac{4}{7}\\=\frac{-56}{63}+\frac{36}{63}\\=\frac{-56+36}{63}\\=\frac{-20}{63}\)
10. \(\frac{13}{2}+\frac{6}{17}\\=\frac{221}{34}+\frac{12}{34}\\=\frac{221+12}{34}\\=\frac{233}{34}\)
11. \(\frac{-2}{11}+\frac{9}{2}\\=\frac{-4}{22}+\frac{99}{22}\\=\frac{-4+99}{22}\\=\frac{95}{22}\)
12. \(\frac{2}{3}+\frac{12}{11}\\=\frac{22}{33}+\frac{36}{33}\\=\frac{22+36}{33}\\=\frac{58}{33}\)