Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{13}\right)-\left(\frac{4}{13}\right)\\= \frac{-3}{13}-\frac{4}{13}\\=\frac{-3-4}{13}\\=\frac{-7}{13}\)
2. \(+\left(\frac{12}{11}\right)-\left(\frac{-13}{10}\right)\\= \frac{12}{11}+\frac{13}{10}\\=\frac{120}{110}+\frac{143}{110}\\=\frac{120+143}{110}\\=\frac{263}{110}\)
3. \(+\left(\frac{-10}{-11}\right)-\left(\frac{-8}{5}\right)\\= \frac{10}{11}+\frac{8}{5}\\=\frac{50}{55}+\frac{88}{55}\\=\frac{50+88}{55}\\=\frac{138}{55}\)
4. \(+\left(\frac{4}{3}\right)-\left(\frac{4}{-13}\right)\\= \frac{4}{3}+\frac{4}{13}\\=\frac{52}{39}+\frac{12}{39}\\=\frac{52+12}{39}\\=\frac{64}{39}\)
5. \(-\left(\frac{-8}{-13}\right)+\left(\frac{7}{-10}\right)\\= \frac{-8}{13}-\frac{7}{10}\\=\frac{-80}{130}-\frac{91}{130}\\=\frac{-80-91}{130}\\=\frac{-171}{130}\)
6. \(-\left(\frac{7}{-2}\right)-\left(\frac{-6}{7}\right)\\= \frac{7}{2}+\frac{6}{7}\\=\frac{49}{14}+\frac{12}{14}\\=\frac{49+12}{14}\\=\frac{61}{14}\)
7. \(-\left(\frac{-10}{3}\right)+\left(\frac{-5}{2}\right)\\= \frac{10}{3}-\frac{5}{2}\\=\frac{20}{6}-\frac{15}{6}\\=\frac{20-15}{6}\\=\frac{5}{6}\)
8. \(-\left(\frac{-13}{11}\right)+\left(\frac{-8}{-5}\right)\\= \frac{13}{11}+\frac{8}{5}\\=\frac{65}{55}+\frac{88}{55}\\=\frac{65+88}{55}\\=\frac{153}{55}\)
9. \(+\left(\frac{-15}{-4}\right)-\left(\frac{2}{-9}\right)\\= \frac{15}{4}+\frac{2}{9}\\=\frac{135}{36}+\frac{8}{36}\\=\frac{135+8}{36}\\=\frac{143}{36}\)
10. \(+\left(\frac{5}{-6}\right)+\left(\frac{4}{7}\right)\\= \frac{-5}{6}+\frac{4}{7}\\=\frac{-35}{42}+\frac{24}{42}\\=\frac{-35+24}{42}\\=\frac{-11}{42}\)
11. \(+\left(\frac{3}{8}\right)+\left(\frac{-13}{-12}\right)\\= \frac{3}{8}+\frac{13}{12}\\=\frac{9}{24}+\frac{26}{24}\\=\frac{9+26}{24}\\=\frac{35}{24}\)
12. \(+\left(\frac{6}{7}\right)+\left(\frac{-15}{2}\right)\\= \frac{6}{7}-\frac{15}{2}\\=\frac{12}{14}-\frac{105}{14}\\=\frac{12-105}{14}\\=\frac{-93}{14}\)