Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{-7}\right)-\left(\frac{-6}{11}\right)\\= \frac{2}{7}+\frac{6}{11}\\=\frac{22}{77}+\frac{42}{77}\\=\frac{22+42}{77}\\=\frac{64}{77}\)
2. \(+\left(\frac{2}{-5}\right)-\left(\frac{-4}{-3}\right)\\= \frac{-2}{5}-\frac{4}{3}\\=\frac{-6}{15}-\frac{20}{15}\\=\frac{-6-20}{15}\\=\frac{-26}{15}\)
3. \(-\left(\frac{-12}{-11}\right)+\left(\frac{8}{3}\right)\\= \frac{-12}{11}+\frac{8}{3}\\=\frac{-36}{33}+\frac{88}{33}\\=\frac{-36+88}{33}\\=\frac{52}{33}\)
4. \(+\left(\frac{-4}{7}\right)-\left(\frac{-7}{9}\right)\\= \frac{-4}{7}+\frac{7}{9}\\=\frac{-36}{63}+\frac{49}{63}\\=\frac{-36+49}{63}\\=\frac{13}{63}\)
5. \(+\left(\frac{-6}{-13}\right)+\left(\frac{-6}{11}\right)\\= \frac{6}{13}-\frac{6}{11}\\=\frac{66}{143}-\frac{78}{143}\\=\frac{66-78}{143}\\=\frac{-12}{143}\)
6. \(-\left(\frac{5}{-13}\right)-\left(\frac{-7}{8}\right)\\= \frac{5}{13}+\frac{7}{8}\\=\frac{40}{104}+\frac{91}{104}\\=\frac{40+91}{104}\\=\frac{131}{104}\)
7. \(-\left(\frac{-13}{5}\right)-\left(\frac{-7}{-3}\right)\\= \frac{13}{5}-\frac{7}{3}\\=\frac{39}{15}-\frac{35}{15}\\=\frac{39-35}{15}\\=\frac{4}{15}\)
8. \(-\left(\frac{9}{-7}\right)+\left(\frac{13}{12}\right)\\= \frac{9}{7}+\frac{13}{12}\\=\frac{108}{84}+\frac{91}{84}\\=\frac{108+91}{84}\\=\frac{199}{84}\)
9. \(+\left(\frac{-9}{11}\right)+\left(\frac{13}{-2}\right)\\= \frac{-9}{11}-\frac{13}{2}\\=\frac{-18}{22}-\frac{143}{22}\\=\frac{-18-143}{22}\\=\frac{-161}{22}\)
10. \(+\left(\frac{4}{-5}\right)-\left(\frac{7}{-11}\right)\\= \frac{-4}{5}+\frac{7}{11}\\=\frac{-44}{55}+\frac{35}{55}\\=\frac{-44+35}{55}\\=\frac{-9}{55}\)
11. \(-\left(\frac{7}{-8}\right)+\left(\frac{8}{-3}\right)\\= \frac{7}{8}-\frac{8}{3}\\=\frac{21}{24}-\frac{64}{24}\\=\frac{21-64}{24}\\=\frac{-43}{24}\)
12. \(-\left(\frac{-7}{-10}\right)-\left(\frac{-11}{-14}\right)\\= \frac{-7}{10}-\frac{11}{14}\\=\frac{-49}{70}-\frac{55}{70}\\=\frac{-49-55}{70}\\=\frac{-104}{70}\\=\frac{-52}{35}\)