Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-7}{-3}\right)-\left(\frac{-11}{2}\right)\\= \frac{-7}{3}+\frac{11}{2}\\=\frac{-14}{6}+\frac{33}{6}\\=\frac{-14+33}{6}\\=\frac{19}{6}\)
2. \(-\left(\frac{12}{13}\right)-\left(\frac{11}{-5}\right)\\= \frac{-12}{13}+\frac{11}{5}\\=\frac{-60}{65}+\frac{143}{65}\\=\frac{-60+143}{65}\\=\frac{83}{65}\)
3. \(-\left(\frac{5}{-11}\right)+\left(\frac{-12}{-5}\right)\\= \frac{5}{11}+\frac{12}{5}\\=\frac{25}{55}+\frac{132}{55}\\=\frac{25+132}{55}\\=\frac{157}{55}\)
4. \(+\left(\frac{7}{-6}\right)+\left(\frac{14}{11}\right)\\= \frac{-7}{6}+\frac{14}{11}\\=\frac{-77}{66}+\frac{84}{66}\\=\frac{-77+84}{66}\\=\frac{7}{66}\)
5. \(-\left(\frac{9}{8}\right)-\left(\frac{15}{-11}\right)\\= \frac{-9}{8}+\frac{15}{11}\\=\frac{-99}{88}+\frac{120}{88}\\=\frac{-99+120}{88}\\=\frac{21}{88}\)
6. \(-\left(\frac{-14}{11}\right)-\left(\frac{-15}{4}\right)\\= \frac{14}{11}+\frac{15}{4}\\=\frac{56}{44}+\frac{165}{44}\\=\frac{56+165}{44}\\=\frac{221}{44}\)
7. \(-\left(\frac{3}{-4}\right)+\left(\frac{15}{-4}\right)\\= \frac{3}{4}-\frac{15}{4}\\=\frac{3-15}{4}\\=\frac{-12}{4}\\=\frac{-3}{1}\)
8. \(+\left(\frac{14}{-3}\right)-\left(\frac{-14}{9}\right)\\= \frac{-14}{3}+\frac{14}{9}\\=\frac{-42}{9}+\frac{14}{9}\\=\frac{-42+14}{9}\\=\frac{-28}{9}\)
9. \(+\left(\frac{-12}{-11}\right)-\left(\frac{-6}{-5}\right)\\= \frac{12}{11}-\frac{6}{5}\\=\frac{60}{55}-\frac{66}{55}\\=\frac{60-66}{55}\\=\frac{-6}{55}\)
10. \(+\left(\frac{7}{13}\right)-\left(\frac{-14}{-3}\right)\\= \frac{7}{13}-\frac{14}{3}\\=\frac{21}{39}-\frac{182}{39}\\=\frac{21-182}{39}\\=\frac{-161}{39}\)
11. \(-\left(\frac{10}{-13}\right)-\left(\frac{8}{3}\right)\\= \frac{10}{13}-\frac{8}{3}\\=\frac{30}{39}-\frac{104}{39}\\=\frac{30-104}{39}\\=\frac{-74}{39}\)
12. \(+\left(\frac{-8}{-9}\right)-\left(\frac{-12}{-11}\right)\\= \frac{8}{9}-\frac{12}{11}\\=\frac{88}{99}-\frac{108}{99}\\=\frac{88-108}{99}\\=\frac{-20}{99}\)