Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{5}{2}\right)-\left(\frac{8}{-7}\right)\\= \frac{5}{2}+\frac{8}{7}\\=\frac{35}{14}+\frac{16}{14}\\=\frac{35+16}{14}\\=\frac{51}{14}\)
2. \(+\left(\frac{4}{-5}\right)+\left(\frac{3}{-2}\right)\\= \frac{-4}{5}-\frac{3}{2}\\=\frac{-8}{10}-\frac{15}{10}\\=\frac{-8-15}{10}\\=\frac{-23}{10}\)
3. \(+\left(\frac{4}{-9}\right)-\left(\frac{-3}{2}\right)\\= \frac{-4}{9}+\frac{3}{2}\\=\frac{-8}{18}+\frac{27}{18}\\=\frac{-8+27}{18}\\=\frac{19}{18}\)
4. \(+\left(\frac{7}{-10}\right)-\left(\frac{-13}{3}\right)\\= \frac{-7}{10}+\frac{13}{3}\\=\frac{-21}{30}+\frac{130}{30}\\=\frac{-21+130}{30}\\=\frac{109}{30}\)
5. \(-\left(\frac{12}{5}\right)-\left(\frac{-10}{-7}\right)\\= \frac{-12}{5}-\frac{10}{7}\\=\frac{-84}{35}-\frac{50}{35}\\=\frac{-84-50}{35}\\=\frac{-134}{35}\)
6. \(+\left(\frac{-3}{4}\right)-\left(\frac{-2}{9}\right)\\= \frac{-3}{4}+\frac{2}{9}\\=\frac{-27}{36}+\frac{8}{36}\\=\frac{-27+8}{36}\\=\frac{-19}{36}\)
7. \(-\left(\frac{-9}{10}\right)-\left(\frac{-12}{11}\right)\\= \frac{9}{10}+\frac{12}{11}\\=\frac{99}{110}+\frac{120}{110}\\=\frac{99+120}{110}\\=\frac{219}{110}\)
8. \(+\left(\frac{5}{14}\right)-\left(\frac{-9}{-8}\right)\\= \frac{5}{14}-\frac{9}{8}\\=\frac{20}{56}-\frac{63}{56}\\=\frac{20-63}{56}\\=\frac{-43}{56}\)
9. \(+\left(\frac{6}{-11}\right)+\left(\frac{-4}{3}\right)\\= \frac{-6}{11}-\frac{4}{3}\\=\frac{-18}{33}-\frac{44}{33}\\=\frac{-18-44}{33}\\=\frac{-62}{33}\)
10. \(-\left(\frac{-15}{11}\right)-\left(\frac{-13}{14}\right)\\= \frac{15}{11}+\frac{13}{14}\\=\frac{210}{154}+\frac{143}{154}\\=\frac{210+143}{154}\\=\frac{353}{154}\)
11. \(-\left(\frac{-15}{-2}\right)+\left(\frac{7}{-10}\right)\\= \frac{-15}{2}-\frac{7}{10}\\=\frac{-75}{10}-\frac{7}{10}\\=\frac{-75-7}{10}\\=\frac{-82}{10}\\=\frac{-41}{5}\)
12. \(+\left(\frac{2}{3}\right)+\left(\frac{-11}{9}\right)\\= \frac{2}{3}-\frac{11}{9}\\=\frac{6}{9}-\frac{11}{9}\\=\frac{6-11}{9}\\=\frac{-5}{9}\)