Breuken haakjesregel (reeks 1)

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Bereken

1. \(-\left(\frac{7}{-2}\right)+\left(\frac{11}{9}\right)\)
2. \(+\left(\frac{-7}{2}\right)+\left(\frac{5}{8}\right)\)
3. \(-\left(\frac{2}{3}\right)-\left(\frac{3}{-10}\right)\)
4. \(-\left(\frac{-15}{8}\right)+\left(\frac{-13}{-9}\right)\)
5. \(+\left(\frac{9}{2}\right)-\left(\frac{-13}{2}\right)\)
6. \(+\left(\frac{7}{10}\right)-\left(\frac{7}{4}\right)\)
7. \(-\left(\frac{-13}{-10}\right)+\left(\frac{9}{7}\right)\)
8. \(-\left(\frac{-8}{-3}\right)+\left(\frac{-10}{3}\right)\)
9. \(-\left(\frac{-2}{9}\right)+\left(\frac{3}{-10}\right)\)
10. \(+\left(\frac{6}{-5}\right)+\left(\frac{-3}{14}\right)\)
11. \(+\left(\frac{-9}{13}\right)+\left(\frac{12}{-11}\right)\)
12. \(-\left(\frac{-8}{11}\right)+\left(\frac{2}{-9}\right)\)

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Bereken

Verbetersleutel

1. \(-\left(\frac{7}{-2}\right)+\left(\frac{11}{9}\right)\\= \frac{7}{2}+\frac{11}{9}\\=\frac{63}{18}+\frac{22}{18}\\=\frac{63+22}{18}\\=\frac{85}{18}\)
2. \(+\left(\frac{-7}{2}\right)+\left(\frac{5}{8}\right)\\= \frac{-7}{2}+\frac{5}{8}\\=\frac{-28}{8}+\frac{5}{8}\\=\frac{-28+5}{8}\\=\frac{-23}{8}\)
3. \(-\left(\frac{2}{3}\right)-\left(\frac{3}{-10}\right)\\= \frac{-2}{3}+\frac{3}{10}\\=\frac{-20}{30}+\frac{9}{30}\\=\frac{-20+9}{30}\\=\frac{-11}{30}\)
4. \(-\left(\frac{-15}{8}\right)+\left(\frac{-13}{-9}\right)\\= \frac{15}{8}+\frac{13}{9}\\=\frac{135}{72}+\frac{104}{72}\\=\frac{135+104}{72}\\=\frac{239}{72}\)
5. \(+\left(\frac{9}{2}\right)-\left(\frac{-13}{2}\right)\\= \frac{9}{2}+\frac{13}{2}\\=\frac{9+13}{2}\\=\frac{22}{2}\\=\frac{11}{1}\)
6. \(+\left(\frac{7}{10}\right)-\left(\frac{7}{4}\right)\\= \frac{7}{10}-\frac{7}{4}\\=\frac{14}{20}-\frac{35}{20}\\=\frac{14-35}{20}\\=\frac{-21}{20}\)
7. \(-\left(\frac{-13}{-10}\right)+\left(\frac{9}{7}\right)\\= \frac{-13}{10}+\frac{9}{7}\\=\frac{-91}{70}+\frac{90}{70}\\=\frac{-91+90}{70}\\=\frac{-1}{70}\)
8. \(-\left(\frac{-8}{-3}\right)+\left(\frac{-10}{3}\right)\\= \frac{-8}{3}-\frac{10}{3}\\=\frac{-8-10}{3}\\=\frac{-18}{3}\\=\frac{-6}{1}\)
9. \(-\left(\frac{-2}{9}\right)+\left(\frac{3}{-10}\right)\\= \frac{2}{9}-\frac{3}{10}\\=\frac{20}{90}-\frac{27}{90}\\=\frac{20-27}{90}\\=\frac{-7}{90}\)
10. \(+\left(\frac{6}{-5}\right)+\left(\frac{-3}{14}\right)\\= \frac{-6}{5}-\frac{3}{14}\\=\frac{-84}{70}-\frac{15}{70}\\=\frac{-84-15}{70}\\=\frac{-99}{70}\)
11. \(+\left(\frac{-9}{13}\right)+\left(\frac{12}{-11}\right)\\= \frac{-9}{13}-\frac{12}{11}\\=\frac{-99}{143}-\frac{156}{143}\\=\frac{-99-156}{143}\\=\frac{-255}{143}\)
12. \(-\left(\frac{-8}{11}\right)+\left(\frac{2}{-9}\right)\\= \frac{8}{11}-\frac{2}{9}\\=\frac{72}{99}-\frac{22}{99}\\=\frac{72-22}{99}\\=\frac{50}{99}\)