Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{3}\right)+\left(\frac{-7}{-9}\right)\\= \frac{-4}{3}+\frac{7}{9}\\=\frac{-12}{9}+\frac{7}{9}\\=\frac{-12+7}{9}\\=\frac{-5}{9}\)
2. \(-\left(\frac{15}{-8}\right)-\left(\frac{-6}{-13}\right)\\= \frac{15}{8}-\frac{6}{13}\\=\frac{195}{104}-\frac{48}{104}\\=\frac{195-48}{104}\\=\frac{147}{104}\)
3. \(+\left(\frac{-2}{11}\right)-\left(\frac{-5}{7}\right)\\= \frac{-2}{11}+\frac{5}{7}\\=\frac{-14}{77}+\frac{55}{77}\\=\frac{-14+55}{77}\\=\frac{41}{77}\)
4. \(-\left(\frac{13}{11}\right)-\left(\frac{-13}{-10}\right)\\= \frac{-13}{11}-\frac{13}{10}\\=\frac{-130}{110}-\frac{143}{110}\\=\frac{-130-143}{110}\\=\frac{-273}{110}\)
5. \(+\left(\frac{14}{-3}\right)-\left(\frac{-6}{7}\right)\\= \frac{-14}{3}+\frac{6}{7}\\=\frac{-98}{21}+\frac{18}{21}\\=\frac{-98+18}{21}\\=\frac{-80}{21}\)
6. \(-\left(\frac{10}{-7}\right)-\left(\frac{7}{8}\right)\\= \frac{10}{7}-\frac{7}{8}\\=\frac{80}{56}-\frac{49}{56}\\=\frac{80-49}{56}\\=\frac{31}{56}\)
7. \(+\left(\frac{12}{-5}\right)+\left(\frac{7}{-5}\right)\\= \frac{-12}{5}-\frac{7}{5}\\=\frac{-12-7}{5}\\=\frac{-19}{5}\)
8. \(-\left(\frac{-6}{-5}\right)-\left(\frac{9}{-13}\right)\\= \frac{-6}{5}+\frac{9}{13}\\=\frac{-78}{65}+\frac{45}{65}\\=\frac{-78+45}{65}\\=\frac{-33}{65}\)
9. \(+\left(\frac{2}{-9}\right)-\left(\frac{-2}{-3}\right)\\= \frac{-2}{9}-\frac{2}{3}\\=\frac{-2-2}{9}\\=\frac{-4}{9}\)
10. \(+\left(\frac{4}{-5}\right)-\left(\frac{8}{-3}\right)\\= \frac{-4}{5}+\frac{8}{3}\\=\frac{-12}{15}+\frac{40}{15}\\=\frac{-12+40}{15}\\=\frac{28}{15}\)
11. \(+\left(\frac{-8}{-13}\right)-\left(\frac{-9}{-11}\right)\\= \frac{8}{13}-\frac{9}{11}\\=\frac{88}{143}-\frac{117}{143}\\=\frac{88-117}{143}\\=\frac{-29}{143}\)
12. \(+\left(\frac{-11}{-3}\right)-\left(\frac{7}{12}\right)\\= \frac{11}{3}-\frac{7}{12}\\=\frac{44}{12}-\frac{7}{12}\\=\frac{44-7}{12}\\=\frac{37}{12}\)