Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{15}{7}\right)+\left(\frac{2}{-11}\right)\\= \frac{-15}{7}-\frac{2}{11}\\=\frac{-165}{77}-\frac{14}{77}\\=\frac{-165-14}{77}\\=\frac{-179}{77}\)
2. \(+\left(\frac{-8}{-11}\right)+\left(\frac{4}{3}\right)\\= \frac{8}{11}+\frac{4}{3}\\=\frac{24}{33}+\frac{44}{33}\\=\frac{24+44}{33}\\=\frac{68}{33}\)
3. \(-\left(\frac{-4}{5}\right)+\left(\frac{-9}{-13}\right)\\= \frac{4}{5}+\frac{9}{13}\\=\frac{52}{65}+\frac{45}{65}\\=\frac{52+45}{65}\\=\frac{97}{65}\)
4. \(+\left(\frac{-8}{-3}\right)-\left(\frac{15}{-8}\right)\\= \frac{8}{3}+\frac{15}{8}\\=\frac{64}{24}+\frac{45}{24}\\=\frac{64+45}{24}\\=\frac{109}{24}\)
5. \(-\left(\frac{12}{-5}\right)+\left(\frac{-12}{-5}\right)\\= \frac{12}{5}+\frac{12}{5}\\=\frac{12+12}{5}\\=\frac{24}{5}\)
6. \(-\left(\frac{-8}{13}\right)-\left(\frac{-6}{5}\right)\\= \frac{8}{13}+\frac{6}{5}\\=\frac{40}{65}+\frac{78}{65}\\=\frac{40+78}{65}\\=\frac{118}{65}\)
7. \(-\left(\frac{-4}{13}\right)+\left(\frac{9}{-7}\right)\\= \frac{4}{13}-\frac{9}{7}\\=\frac{28}{91}-\frac{117}{91}\\=\frac{28-117}{91}\\=\frac{-89}{91}\)
8. \(+\left(\frac{9}{2}\right)+\left(\frac{-13}{-14}\right)\\= \frac{9}{2}+\frac{13}{14}\\=\frac{63}{14}+\frac{13}{14}\\=\frac{63+13}{14}\\=\frac{76}{14}\\=\frac{38}{7}\)
9. \(-\left(\frac{15}{7}\right)+\left(\frac{-13}{14}\right)\\= \frac{-15}{7}-\frac{13}{14}\\=\frac{-30}{14}-\frac{13}{14}\\=\frac{-30-13}{14}\\=\frac{-43}{14}\)
10. \(+\left(\frac{3}{-7}\right)-\left(\frac{-14}{3}\right)\\= \frac{-3}{7}+\frac{14}{3}\\=\frac{-9}{21}+\frac{98}{21}\\=\frac{-9+98}{21}\\=\frac{89}{21}\)
11. \(+\left(\frac{-14}{3}\right)+\left(\frac{-4}{-13}\right)\\= \frac{-14}{3}+\frac{4}{13}\\=\frac{-182}{39}+\frac{12}{39}\\=\frac{-182+12}{39}\\=\frac{-170}{39}\)
12. \(+\left(\frac{14}{-3}\right)-\left(\frac{-14}{3}\right)\\= \frac{-14}{3}+\frac{14}{3}\\=\frac{-14+14}{3}\\=\frac{0}{3}\\=\frac{0}{1}\)