Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-15}{7}\right)-\left(\frac{-15}{-8}\right)\\= \frac{15}{7}-\frac{15}{8}\\=\frac{120}{56}-\frac{105}{56}\\=\frac{120-105}{56}\\=\frac{15}{56}\)
2. \(+\left(\frac{13}{2}\right)+\left(\frac{7}{9}\right)\\= \frac{13}{2}+\frac{7}{9}\\=\frac{117}{18}+\frac{14}{18}\\=\frac{117+14}{18}\\=\frac{131}{18}\)
3. \(+\left(\frac{10}{7}\right)-\left(\frac{-7}{8}\right)\\= \frac{10}{7}+\frac{7}{8}\\=\frac{80}{56}+\frac{49}{56}\\=\frac{80+49}{56}\\=\frac{129}{56}\)
4. \(+\left(\frac{14}{-3}\right)+\left(\frac{-11}{14}\right)\\= \frac{-14}{3}-\frac{11}{14}\\=\frac{-196}{42}-\frac{33}{42}\\=\frac{-196-33}{42}\\=\frac{-229}{42}\)
5. \(+\left(\frac{-9}{-13}\right)+\left(\frac{-14}{3}\right)\\= \frac{9}{13}-\frac{14}{3}\\=\frac{27}{39}-\frac{182}{39}\\=\frac{27-182}{39}\\=\frac{-155}{39}\)
6. \(-\left(\frac{-5}{11}\right)+\left(\frac{12}{5}\right)\\= \frac{5}{11}+\frac{12}{5}\\=\frac{25}{55}+\frac{132}{55}\\=\frac{25+132}{55}\\=\frac{157}{55}\)
7. \(-\left(\frac{12}{-5}\right)+\left(\frac{-5}{7}\right)\\= \frac{12}{5}-\frac{5}{7}\\=\frac{84}{35}-\frac{25}{35}\\=\frac{84-25}{35}\\=\frac{59}{35}\)
8. \(-\left(\frac{-15}{4}\right)-\left(\frac{-15}{-13}\right)\\= \frac{15}{4}-\frac{15}{13}\\=\frac{195}{52}-\frac{60}{52}\\=\frac{195-60}{52}\\=\frac{135}{52}\)
9. \(+\left(\frac{-6}{-5}\right)-\left(\frac{-4}{13}\right)\\= \frac{6}{5}+\frac{4}{13}\\=\frac{78}{65}+\frac{20}{65}\\=\frac{78+20}{65}\\=\frac{98}{65}\)
10. \(-\left(\frac{6}{5}\right)+\left(\frac{-6}{-11}\right)\\= \frac{-6}{5}+\frac{6}{11}\\=\frac{-66}{55}+\frac{30}{55}\\=\frac{-66+30}{55}\\=\frac{-36}{55}\)
11. \(-\left(\frac{-7}{-13}\right)-\left(\frac{2}{-3}\right)\\= \frac{-7}{13}+\frac{2}{3}\\=\frac{-21}{39}+\frac{26}{39}\\=\frac{-21+26}{39}\\=\frac{5}{39}\)
12. \(-\left(\frac{8}{-3}\right)-\left(\frac{14}{-3}\right)\\= \frac{8}{3}+\frac{14}{3}\\=\frac{8+14}{3}\\=\frac{22}{3}\)