Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{14}{-11}\right)-\left(\frac{-9}{-11}\right)\\= \frac{-14}{11}-\frac{9}{11}\\=\frac{-14-9}{11}\\=\frac{-23}{11}\)
2. \(+\left(\frac{12}{11}\right)-\left(\frac{6}{11}\right)\\= \frac{12}{11}-\frac{6}{11}\\=\frac{12-6}{11}\\=\frac{6}{11}\)
3. \(-\left(\frac{-7}{6}\right)+\left(\frac{3}{-4}\right)\\= \frac{7}{6}-\frac{3}{4}\\=\frac{14}{12}-\frac{9}{12}\\=\frac{14-9}{12}\\=\frac{5}{12}\)
4. \(-\left(\frac{10}{-3}\right)+\left(\frac{-7}{-8}\right)\\= \frac{10}{3}+\frac{7}{8}\\=\frac{80}{24}+\frac{21}{24}\\=\frac{80+21}{24}\\=\frac{101}{24}\)
5. \(-\left(\frac{-6}{5}\right)-\left(\frac{-9}{4}\right)\\= \frac{6}{5}+\frac{9}{4}\\=\frac{24}{20}+\frac{45}{20}\\=\frac{24+45}{20}\\=\frac{69}{20}\)
6. \(-\left(\frac{9}{-8}\right)+\left(\frac{-3}{-13}\right)\\= \frac{9}{8}+\frac{3}{13}\\=\frac{117}{104}+\frac{24}{104}\\=\frac{117+24}{104}\\=\frac{141}{104}\)
7. \(-\left(\frac{5}{-6}\right)-\left(\frac{5}{8}\right)\\= \frac{5}{6}-\frac{5}{8}\\=\frac{20}{24}-\frac{15}{24}\\=\frac{20-15}{24}\\=\frac{5}{24}\)
8. \(+\left(\frac{-15}{7}\right)-\left(\frac{14}{-9}\right)\\= \frac{-15}{7}+\frac{14}{9}\\=\frac{-135}{63}+\frac{98}{63}\\=\frac{-135+98}{63}\\=\frac{-37}{63}\)
9. \(-\left(\frac{-13}{5}\right)+\left(\frac{-2}{-9}\right)\\= \frac{13}{5}+\frac{2}{9}\\=\frac{117}{45}+\frac{10}{45}\\=\frac{117+10}{45}\\=\frac{127}{45}\)
10. \(+\left(\frac{4}{7}\right)+\left(\frac{12}{5}\right)\\= \frac{4}{7}+\frac{12}{5}\\=\frac{20}{35}+\frac{84}{35}\\=\frac{20+84}{35}\\=\frac{104}{35}\)
11. \(+\left(\frac{-4}{5}\right)-\left(\frac{4}{-13}\right)\\= \frac{-4}{5}+\frac{4}{13}\\=\frac{-52}{65}+\frac{20}{65}\\=\frac{-52+20}{65}\\=\frac{-32}{65}\)
12. \(-\left(\frac{14}{-3}\right)+\left(\frac{8}{-13}\right)\\= \frac{14}{3}-\frac{8}{13}\\=\frac{182}{39}-\frac{24}{39}\\=\frac{182-24}{39}\\=\frac{158}{39}\)