Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(+\left(\frac{-2}{3}\right)-\left(\frac{2}{-3}\right)\)
2. \(-\left(\frac{2}{7}\right)-\left(\frac{-6}{5}\right)\)
3. \(+\left(\frac{6}{-11}\right)-\left(\frac{-11}{-9}\right)\)
4. \(+\left(\frac{-12}{11}\right)-\left(\frac{-12}{11}\right)\)
5. \(+\left(\frac{-10}{-7}\right)+\left(\frac{9}{-7}\right)\)
6. \(-\left(\frac{5}{8}\right)+\left(\frac{5}{-9}\right)\)
7. \(+\left(\frac{8}{13}\right)-\left(\frac{7}{-12}\right)\)
8. \(-\left(\frac{5}{-14}\right)+\left(\frac{5}{9}\right)\)
9. \(+\left(\frac{-7}{11}\right)-\left(\frac{-4}{-3}\right)\)
10. \(-\left(\frac{-3}{5}\right)-\left(\frac{3}{4}\right)\)
11. \(+\left(\frac{-11}{5}\right)-\left(\frac{-6}{-11}\right)\)
12. \(-\left(\frac{6}{-7}\right)-\left(\frac{8}{-13}\right)\)

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Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{3}\right)-\left(\frac{2}{-3}\right)\\= \frac{-2}{3}+\frac{2}{3}\\=\frac{-2+2}{3}\\=\frac{0}{3}\\=\frac{0}{1}\)
2. \(-\left(\frac{2}{7}\right)-\left(\frac{-6}{5}\right)\\= \frac{-2}{7}+\frac{6}{5}\\=\frac{-10}{35}+\frac{42}{35}\\=\frac{-10+42}{35}\\=\frac{32}{35}\)
3. \(+\left(\frac{6}{-11}\right)-\left(\frac{-11}{-9}\right)\\= \frac{-6}{11}-\frac{11}{9}\\=\frac{-54}{99}-\frac{121}{99}\\=\frac{-54-121}{99}\\=\frac{-175}{99}\)
4. \(+\left(\frac{-12}{11}\right)-\left(\frac{-12}{11}\right)\\= \frac{-12}{11}+\frac{12}{11}\\=\frac{-12+12}{11}\\=\frac{0}{11}\\=\frac{0}{1}\)
5. \(+\left(\frac{-10}{-7}\right)+\left(\frac{9}{-7}\right)\\= \frac{10}{7}-\frac{9}{7}\\=\frac{10-9}{7}\\=\frac{1}{7}\)
6. \(-\left(\frac{5}{8}\right)+\left(\frac{5}{-9}\right)\\= \frac{-5}{8}-\frac{5}{9}\\=\frac{-45}{72}-\frac{40}{72}\\=\frac{-45-40}{72}\\=\frac{-85}{72}\)
7. \(+\left(\frac{8}{13}\right)-\left(\frac{7}{-12}\right)\\= \frac{8}{13}+\frac{7}{12}\\=\frac{96}{156}+\frac{91}{156}\\=\frac{96+91}{156}\\=\frac{187}{156}\)
8. \(-\left(\frac{5}{-14}\right)+\left(\frac{5}{9}\right)\\= \frac{5}{14}+\frac{5}{9}\\=\frac{45}{126}+\frac{70}{126}\\=\frac{45+70}{126}\\=\frac{115}{126}\)
9. \(+\left(\frac{-7}{11}\right)-\left(\frac{-4}{-3}\right)\\= \frac{-7}{11}-\frac{4}{3}\\=\frac{-21}{33}-\frac{44}{33}\\=\frac{-21-44}{33}\\=\frac{-65}{33}\)
10. \(-\left(\frac{-3}{5}\right)-\left(\frac{3}{4}\right)\\= \frac{3}{5}-\frac{3}{4}\\=\frac{12}{20}-\frac{15}{20}\\=\frac{12-15}{20}\\=\frac{-3}{20}\)
11. \(+\left(\frac{-11}{5}\right)-\left(\frac{-6}{-11}\right)\\= \frac{-11}{5}-\frac{6}{11}\\=\frac{-121}{55}-\frac{30}{55}\\=\frac{-121-30}{55}\\=\frac{-151}{55}\)
12. \(-\left(\frac{6}{-7}\right)-\left(\frac{8}{-13}\right)\\= \frac{6}{7}+\frac{8}{13}\\=\frac{78}{91}+\frac{56}{91}\\=\frac{78+56}{91}\\=\frac{134}{91}\)