Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{4}{3}\right)+\left(\frac{-14}{-11}\right)\\= \frac{-4}{3}+\frac{14}{11}\\=\frac{-44}{33}+\frac{42}{33}\\=\frac{-44+42}{33}\\=\frac{-2}{33}\)
2. \(+\left(\frac{-5}{-2}\right)-\left(\frac{10}{3}\right)\\= \frac{5}{2}-\frac{10}{3}\\=\frac{15}{6}-\frac{20}{6}\\=\frac{15-20}{6}\\=\frac{-5}{6}\)
3. \(+\left(\frac{-12}{11}\right)-\left(\frac{5}{12}\right)\\= \frac{-12}{11}-\frac{5}{12}\\=\frac{-144}{132}-\frac{55}{132}\\=\frac{-144-55}{132}\\=\frac{-199}{132}\)
4. \(-\left(\frac{15}{-11}\right)+\left(\frac{-9}{-2}\right)\\= \frac{15}{11}+\frac{9}{2}\\=\frac{30}{22}+\frac{99}{22}\\=\frac{30+99}{22}\\=\frac{129}{22}\)
5. \(-\left(\frac{3}{13}\right)-\left(\frac{6}{-7}\right)\\= \frac{-3}{13}+\frac{6}{7}\\=\frac{-21}{91}+\frac{78}{91}\\=\frac{-21+78}{91}\\=\frac{57}{91}\)
6. \(+\left(\frac{11}{-8}\right)-\left(\frac{-15}{-7}\right)\\= \frac{-11}{8}-\frac{15}{7}\\=\frac{-77}{56}-\frac{120}{56}\\=\frac{-77-120}{56}\\=\frac{-197}{56}\)
7. \(-\left(\frac{13}{-14}\right)-\left(\frac{14}{-11}\right)\\= \frac{13}{14}+\frac{14}{11}\\=\frac{143}{154}+\frac{196}{154}\\=\frac{143+196}{154}\\=\frac{339}{154}\)
8. \(+\left(\frac{9}{-8}\right)+\left(\frac{8}{-3}\right)\\= \frac{-9}{8}-\frac{8}{3}\\=\frac{-27}{24}-\frac{64}{24}\\=\frac{-27-64}{24}\\=\frac{-91}{24}\)
9. \(+\left(\frac{-10}{-13}\right)+\left(\frac{-2}{-7}\right)\\= \frac{10}{13}+\frac{2}{7}\\=\frac{70}{91}+\frac{26}{91}\\=\frac{70+26}{91}\\=\frac{96}{91}\)
10. \(-\left(\frac{6}{-13}\right)+\left(\frac{-4}{-11}\right)\\= \frac{6}{13}+\frac{4}{11}\\=\frac{66}{143}+\frac{52}{143}\\=\frac{66+52}{143}\\=\frac{118}{143}\)
11. \(+\left(\frac{-6}{-5}\right)-\left(\frac{13}{-14}\right)\\= \frac{6}{5}+\frac{13}{14}\\=\frac{84}{70}+\frac{65}{70}\\=\frac{84+65}{70}\\=\frac{149}{70}\)
12. \(-\left(\frac{-11}{-14}\right)-\left(\frac{8}{7}\right)\\= \frac{-11}{14}-\frac{8}{7}\\=\frac{-11-8}{14}\\=\frac{-19}{14}\)