Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-5}{14}\right)+\left(\frac{7}{2}\right)\\= \frac{-5}{14}+\frac{7}{2}\\=\frac{-5+7}{14}\\=\frac{2}{14}\\=\frac{1}{7}\)
2. \(-\left(\frac{-4}{9}\right)-\left(\frac{-10}{11}\right)\\= \frac{4}{9}+\frac{10}{11}\\=\frac{44}{99}+\frac{90}{99}\\=\frac{44+90}{99}\\=\frac{134}{99}\)
3. \(+\left(\frac{7}{-8}\right)-\left(\frac{-2}{-3}\right)\\= \frac{-7}{8}-\frac{2}{3}\\=\frac{-21}{24}-\frac{16}{24}\\=\frac{-21-16}{24}\\=\frac{-37}{24}\)
4. \(+\left(\frac{3}{-13}\right)+\left(\frac{-2}{5}\right)\\= \frac{-3}{13}-\frac{2}{5}\\=\frac{-15}{65}-\frac{26}{65}\\=\frac{-15-26}{65}\\=\frac{-41}{65}\)
5. \(-\left(\frac{-15}{11}\right)-\left(\frac{14}{13}\right)\\= \frac{15}{11}-\frac{14}{13}\\=\frac{195}{143}-\frac{154}{143}\\=\frac{195-154}{143}\\=\frac{41}{143}\)
6. \(-\left(\frac{9}{-14}\right)-\left(\frac{-6}{-13}\right)\\= \frac{9}{14}-\frac{6}{13}\\=\frac{117}{182}-\frac{84}{182}\\=\frac{117-84}{182}\\=\frac{33}{182}\)
7. \(+\left(\frac{-12}{-7}\right)-\left(\frac{-12}{11}\right)\\= \frac{12}{7}+\frac{12}{11}\\=\frac{132}{77}+\frac{84}{77}\\=\frac{132+84}{77}\\=\frac{216}{77}\)
8. \(+\left(\frac{14}{-9}\right)-\left(\frac{14}{-3}\right)\\= \frac{-14}{9}+\frac{14}{3}\\=\frac{-14+14}{9}\\=\frac{0}{9}\\=\frac{0}{1}\)
9. \(+\left(\frac{-15}{-14}\right)+\left(\frac{-2}{-11}\right)\\= \frac{15}{14}+\frac{2}{11}\\=\frac{165}{154}+\frac{28}{154}\\=\frac{165+28}{154}\\=\frac{193}{154}\)
10. \(+\left(\frac{14}{-11}\right)-\left(\frac{-11}{-9}\right)\\= \frac{-14}{11}-\frac{11}{9}\\=\frac{-126}{99}-\frac{121}{99}\\=\frac{-126-121}{99}\\=\frac{-247}{99}\)
11. \(-\left(\frac{-10}{-7}\right)+\left(\frac{7}{2}\right)\\= \frac{-10}{7}+\frac{7}{2}\\=\frac{-20}{14}+\frac{49}{14}\\=\frac{-20+49}{14}\\=\frac{29}{14}\)
12. \(-\left(\frac{-3}{2}\right)+\left(\frac{-3}{8}\right)\\= \frac{3}{2}-\frac{3}{8}\\=\frac{12}{8}-\frac{3}{8}\\=\frac{12-3}{8}\\=\frac{9}{8}\)