Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-5}{-8}\right)-\left(\frac{12}{7}\right)\\= \frac{-5}{8}-\frac{12}{7}\\=\frac{-35}{56}-\frac{96}{56}\\=\frac{-35-96}{56}\\=\frac{-131}{56}\)
2. \(-\left(\frac{-4}{-3}\right)-\left(\frac{4}{-13}\right)\\= \frac{-4}{3}+\frac{4}{13}\\=\frac{-52}{39}+\frac{12}{39}\\=\frac{-52+12}{39}\\=\frac{-40}{39}\)
3. \(-\left(\frac{-15}{-13}\right)+\left(\frac{5}{2}\right)\\= \frac{-15}{13}+\frac{5}{2}\\=\frac{-30}{26}+\frac{65}{26}\\=\frac{-30+65}{26}\\=\frac{35}{26}\)
4. \(-\left(\frac{-3}{11}\right)+\left(\frac{3}{4}\right)\\= \frac{3}{11}+\frac{3}{4}\\=\frac{12}{44}+\frac{33}{44}\\=\frac{12+33}{44}\\=\frac{45}{44}\)
5. \(+\left(\frac{-4}{-3}\right)-\left(\frac{8}{3}\right)\\= \frac{4}{3}-\frac{8}{3}\\=\frac{4-8}{3}\\=\frac{-4}{3}\)
6. \(+\left(\frac{2}{-7}\right)+\left(\frac{-12}{7}\right)\\= \frac{-2}{7}-\frac{12}{7}\\=\frac{-2-12}{7}\\=\frac{-14}{7}\\=\frac{-2}{1}\)
7. \(-\left(\frac{-12}{11}\right)+\left(\frac{-6}{5}\right)\\= \frac{12}{11}-\frac{6}{5}\\=\frac{60}{55}-\frac{66}{55}\\=\frac{60-66}{55}\\=\frac{-6}{55}\)
8. \(-\left(\frac{-5}{8}\right)-\left(\frac{7}{3}\right)\\= \frac{5}{8}-\frac{7}{3}\\=\frac{15}{24}-\frac{56}{24}\\=\frac{15-56}{24}\\=\frac{-41}{24}\)
9. \(+\left(\frac{-15}{-11}\right)+\left(\frac{-2}{-3}\right)\\= \frac{15}{11}+\frac{2}{3}\\=\frac{45}{33}+\frac{22}{33}\\=\frac{45+22}{33}\\=\frac{67}{33}\)
10. \(+\left(\frac{2}{-3}\right)-\left(\frac{12}{7}\right)\\= \frac{-2}{3}-\frac{12}{7}\\=\frac{-14}{21}-\frac{36}{21}\\=\frac{-14-36}{21}\\=\frac{-50}{21}\)
11. \(+\left(\frac{-3}{-7}\right)-\left(\frac{11}{-7}\right)\\= \frac{3}{7}+\frac{11}{7}\\=\frac{3+11}{7}\\=\frac{14}{7}\\=\frac{2}{1}\)
12. \(+\left(\frac{-13}{2}\right)+\left(\frac{-10}{11}\right)\\= \frac{-13}{2}-\frac{10}{11}\\=\frac{-143}{22}-\frac{20}{22}\\=\frac{-143-20}{22}\\=\frac{-163}{22}\)