Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{8}{11}\right)+\left(\frac{2}{-7}\right)\\= \frac{-8}{11}-\frac{2}{7}\\=\frac{-56}{77}-\frac{22}{77}\\=\frac{-56-22}{77}\\=\frac{-78}{77}\)
2. \(+\left(\frac{-14}{-9}\right)+\left(\frac{-11}{12}\right)\\= \frac{14}{9}-\frac{11}{12}\\=\frac{56}{36}-\frac{33}{36}\\=\frac{56-33}{36}\\=\frac{23}{36}\)
3. \(-\left(\frac{3}{-7}\right)-\left(\frac{5}{14}\right)\\= \frac{3}{7}-\frac{5}{14}\\=\frac{6}{14}-\frac{5}{14}\\=\frac{6-5}{14}\\=\frac{1}{14}\)
4. \(-\left(\frac{6}{-5}\right)+\left(\frac{-2}{3}\right)\\= \frac{6}{5}-\frac{2}{3}\\=\frac{18}{15}-\frac{10}{15}\\=\frac{18-10}{15}\\=\frac{8}{15}\)
5. \(+\left(\frac{-15}{4}\right)-\left(\frac{-10}{-3}\right)\\= \frac{-15}{4}-\frac{10}{3}\\=\frac{-45}{12}-\frac{40}{12}\\=\frac{-45-40}{12}\\=\frac{-85}{12}\)
6. \(+\left(\frac{3}{10}\right)-\left(\frac{2}{7}\right)\\= \frac{3}{10}-\frac{2}{7}\\=\frac{21}{70}-\frac{20}{70}\\=\frac{21-20}{70}\\=\frac{1}{70}\)
7. \(+\left(\frac{9}{-5}\right)-\left(\frac{15}{2}\right)\\= \frac{-9}{5}-\frac{15}{2}\\=\frac{-18}{10}-\frac{75}{10}\\=\frac{-18-75}{10}\\=\frac{-93}{10}\)
8. \(+\left(\frac{7}{-6}\right)+\left(\frac{2}{13}\right)\\= \frac{-7}{6}+\frac{2}{13}\\=\frac{-91}{78}+\frac{12}{78}\\=\frac{-91+12}{78}\\=\frac{-79}{78}\)
9. \(+\left(\frac{-13}{2}\right)-\left(\frac{-6}{5}\right)\\= \frac{-13}{2}+\frac{6}{5}\\=\frac{-65}{10}+\frac{12}{10}\\=\frac{-65+12}{10}\\=\frac{-53}{10}\)
10. \(+\left(\frac{9}{10}\right)-\left(\frac{-12}{-13}\right)\\= \frac{9}{10}-\frac{12}{13}\\=\frac{117}{130}-\frac{120}{130}\\=\frac{117-120}{130}\\=\frac{-3}{130}\)
11. \(+\left(\frac{-12}{-11}\right)-\left(\frac{-2}{3}\right)\\= \frac{12}{11}+\frac{2}{3}\\=\frac{36}{33}+\frac{22}{33}\\=\frac{36+22}{33}\\=\frac{58}{33}\)
12. \(+\left(\frac{-13}{11}\right)-\left(\frac{-9}{14}\right)\\= \frac{-13}{11}+\frac{9}{14}\\=\frac{-182}{154}+\frac{99}{154}\\=\frac{-182+99}{154}\\=\frac{-83}{154}\)