Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{2}{13}\right)+\left(\frac{-14}{5}\right)\\= \frac{2}{13}-\frac{14}{5}\\=\frac{10}{65}-\frac{182}{65}\\=\frac{10-182}{65}\\=\frac{-172}{65}\)
2. \(+\left(\frac{2}{3}\right)-\left(\frac{-11}{-13}\right)\\= \frac{2}{3}-\frac{11}{13}\\=\frac{26}{39}-\frac{33}{39}\\=\frac{26-33}{39}\\=\frac{-7}{39}\)
3. \(+\left(\frac{12}{5}\right)-\left(\frac{9}{4}\right)\\= \frac{12}{5}-\frac{9}{4}\\=\frac{48}{20}-\frac{45}{20}\\=\frac{48-45}{20}\\=\frac{3}{20}\)
4. \(+\left(\frac{-11}{-5}\right)+\left(\frac{-7}{11}\right)\\= \frac{11}{5}-\frac{7}{11}\\=\frac{121}{55}-\frac{35}{55}\\=\frac{121-35}{55}\\=\frac{86}{55}\)
5. \(-\left(\frac{12}{5}\right)-\left(\frac{-7}{12}\right)\\= \frac{-12}{5}+\frac{7}{12}\\=\frac{-144}{60}+\frac{35}{60}\\=\frac{-144+35}{60}\\=\frac{-109}{60}\)
6. \(-\left(\frac{12}{-5}\right)+\left(\frac{-2}{-9}\right)\\= \frac{12}{5}+\frac{2}{9}\\=\frac{108}{45}+\frac{10}{45}\\=\frac{108+10}{45}\\=\frac{118}{45}\)
7. \(-\left(\frac{6}{13}\right)-\left(\frac{-14}{-9}\right)\\= \frac{-6}{13}-\frac{14}{9}\\=\frac{-54}{117}-\frac{182}{117}\\=\frac{-54-182}{117}\\=\frac{-236}{117}\)
8. \(-\left(\frac{-15}{7}\right)+\left(\frac{13}{12}\right)\\= \frac{15}{7}+\frac{13}{12}\\=\frac{180}{84}+\frac{91}{84}\\=\frac{180+91}{84}\\=\frac{271}{84}\)
9. \(+\left(\frac{-14}{-13}\right)-\left(\frac{-5}{8}\right)\\= \frac{14}{13}+\frac{5}{8}\\=\frac{112}{104}+\frac{65}{104}\\=\frac{112+65}{104}\\=\frac{177}{104}\)
10. \(-\left(\frac{-10}{3}\right)+\left(\frac{-14}{13}\right)\\= \frac{10}{3}-\frac{14}{13}\\=\frac{130}{39}-\frac{42}{39}\\=\frac{130-42}{39}\\=\frac{88}{39}\)
11. \(+\left(\frac{-5}{8}\right)+\left(\frac{12}{7}\right)\\= \frac{-5}{8}+\frac{12}{7}\\=\frac{-35}{56}+\frac{96}{56}\\=\frac{-35+96}{56}\\=\frac{61}{56}\)
12. \(-\left(\frac{-5}{11}\right)+\left(\frac{7}{4}\right)\\= \frac{5}{11}+\frac{7}{4}\\=\frac{20}{44}+\frac{77}{44}\\=\frac{20+77}{44}\\=\frac{97}{44}\)