Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-9}{-10}\right)-\left(\frac{-13}{12}\right)\\= \frac{-9}{10}+\frac{13}{12}\\=\frac{-54}{60}+\frac{65}{60}\\=\frac{-54+65}{60}\\=\frac{11}{60}\)
2. \(+\left(\frac{-6}{13}\right)-\left(\frac{8}{3}\right)\\= \frac{-6}{13}-\frac{8}{3}\\=\frac{-18}{39}-\frac{104}{39}\\=\frac{-18-104}{39}\\=\frac{-122}{39}\)
3. \(-\left(\frac{5}{-6}\right)-\left(\frac{13}{-11}\right)\\= \frac{5}{6}+\frac{13}{11}\\=\frac{55}{66}+\frac{78}{66}\\=\frac{55+78}{66}\\=\frac{133}{66}\)
4. \(+\left(\frac{11}{-14}\right)-\left(\frac{-4}{3}\right)\\= \frac{-11}{14}+\frac{4}{3}\\=\frac{-33}{42}+\frac{56}{42}\\=\frac{-33+56}{42}\\=\frac{23}{42}\)
5. \(+\left(\frac{9}{-7}\right)-\left(\frac{-12}{7}\right)\\= \frac{-9}{7}+\frac{12}{7}\\=\frac{-9+12}{7}\\=\frac{3}{7}\)
6. \(-\left(\frac{3}{4}\right)+\left(\frac{-7}{10}\right)\\= \frac{-3}{4}-\frac{7}{10}\\=\frac{-15}{20}-\frac{14}{20}\\=\frac{-15-14}{20}\\=\frac{-29}{20}\)
7. \(+\left(\frac{-2}{-11}\right)+\left(\frac{-15}{-4}\right)\\= \frac{2}{11}+\frac{15}{4}\\=\frac{8}{44}+\frac{165}{44}\\=\frac{8+165}{44}\\=\frac{173}{44}\)
8. \(+\left(\frac{-9}{13}\right)+\left(\frac{-5}{12}\right)\\= \frac{-9}{13}-\frac{5}{12}\\=\frac{-108}{156}-\frac{65}{156}\\=\frac{-108-65}{156}\\=\frac{-173}{156}\)
9. \(+\left(\frac{15}{-8}\right)-\left(\frac{-9}{8}\right)\\= \frac{-15}{8}+\frac{9}{8}\\=\frac{-15+9}{8}\\=\frac{-6}{8}\\=\frac{-3}{4}\)
10. \(+\left(\frac{8}{3}\right)+\left(\frac{-4}{-9}\right)\\= \frac{8}{3}+\frac{4}{9}\\=\frac{24}{9}+\frac{4}{9}\\=\frac{24+4}{9}\\=\frac{28}{9}\)
11. \(-\left(\frac{8}{-5}\right)-\left(\frac{-10}{9}\right)\\= \frac{8}{5}+\frac{10}{9}\\=\frac{72}{45}+\frac{50}{45}\\=\frac{72+50}{45}\\=\frac{122}{45}\)
12. \(+\left(\frac{8}{11}\right)+\left(\frac{7}{-12}\right)\\= \frac{8}{11}-\frac{7}{12}\\=\frac{96}{132}-\frac{77}{132}\\=\frac{96-77}{132}\\=\frac{19}{132}\)