Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{7}{8}\right)-\left(\frac{-3}{7}\right)\\= \frac{7}{8}+\frac{3}{7}\\=\frac{49}{56}+\frac{24}{56}\\=\frac{49+24}{56}\\=\frac{73}{56}\)
2. \(-\left(\frac{-11}{-2}\right)-\left(\frac{-7}{-11}\right)\\= \frac{-11}{2}-\frac{7}{11}\\=\frac{-121}{22}-\frac{14}{22}\\=\frac{-121-14}{22}\\=\frac{-135}{22}\)
3. \(+\left(\frac{13}{-8}\right)-\left(\frac{-15}{-7}\right)\\= \frac{-13}{8}-\frac{15}{7}\\=\frac{-91}{56}-\frac{120}{56}\\=\frac{-91-120}{56}\\=\frac{-211}{56}\)
4. \(-\left(\frac{2}{-7}\right)+\left(\frac{-4}{3}\right)\\= \frac{2}{7}-\frac{4}{3}\\=\frac{6}{21}-\frac{28}{21}\\=\frac{6-28}{21}\\=\frac{-22}{21}\)
5. \(-\left(\frac{-15}{-4}\right)+\left(\frac{-15}{11}\right)\\= \frac{-15}{4}-\frac{15}{11}\\=\frac{-165}{44}-\frac{60}{44}\\=\frac{-165-60}{44}\\=\frac{-225}{44}\)
6. \(+\left(\frac{-12}{5}\right)+\left(\frac{13}{-9}\right)\\= \frac{-12}{5}-\frac{13}{9}\\=\frac{-108}{45}-\frac{65}{45}\\=\frac{-108-65}{45}\\=\frac{-173}{45}\)
7. \(+\left(\frac{-7}{-4}\right)+\left(\frac{4}{11}\right)\\= \frac{7}{4}+\frac{4}{11}\\=\frac{77}{44}+\frac{16}{44}\\=\frac{77+16}{44}\\=\frac{93}{44}\)
8. \(+\left(\frac{6}{11}\right)-\left(\frac{4}{-3}\right)\\= \frac{6}{11}+\frac{4}{3}\\=\frac{18}{33}+\frac{44}{33}\\=\frac{18+44}{33}\\=\frac{62}{33}\)
9. \(-\left(\frac{-5}{-11}\right)+\left(\frac{-6}{7}\right)\\= \frac{-5}{11}-\frac{6}{7}\\=\frac{-35}{77}-\frac{66}{77}\\=\frac{-35-66}{77}\\=\frac{-101}{77}\)
10. \(+\left(\frac{-7}{-2}\right)+\left(\frac{8}{-11}\right)\\= \frac{7}{2}-\frac{8}{11}\\=\frac{77}{22}-\frac{16}{22}\\=\frac{77-16}{22}\\=\frac{61}{22}\)
11. \(-\left(\frac{-6}{-5}\right)-\left(\frac{-6}{5}\right)\\= \frac{-6}{5}+\frac{6}{5}\\=\frac{-6+6}{5}\\=\frac{0}{5}\\=\frac{0}{1}\)
12. \(+\left(\frac{-4}{-11}\right)+\left(\frac{15}{-7}\right)\\= \frac{4}{11}-\frac{15}{7}\\=\frac{28}{77}-\frac{165}{77}\\=\frac{28-165}{77}\\=\frac{-137}{77}\)