Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-13}{-12}\right)-\left(\frac{-2}{-11}\right)\\= \frac{13}{12}-\frac{2}{11}\\=\frac{143}{132}-\frac{24}{132}\\=\frac{143-24}{132}\\=\frac{119}{132}\)
2. \(-\left(\frac{5}{-6}\right)-\left(\frac{9}{11}\right)\\= \frac{5}{6}-\frac{9}{11}\\=\frac{55}{66}-\frac{54}{66}\\=\frac{55-54}{66}\\=\frac{1}{66}\)
3. \(+\left(\frac{4}{-7}\right)-\left(\frac{-12}{11}\right)\\= \frac{-4}{7}+\frac{12}{11}\\=\frac{-44}{77}+\frac{84}{77}\\=\frac{-44+84}{77}\\=\frac{40}{77}\)
4. \(+\left(\frac{-7}{11}\right)+\left(\frac{-15}{-4}\right)\\= \frac{-7}{11}+\frac{15}{4}\\=\frac{-28}{44}+\frac{165}{44}\\=\frac{-28+165}{44}\\=\frac{137}{44}\)
5. \(-\left(\frac{-13}{10}\right)-\left(\frac{-4}{9}\right)\\= \frac{13}{10}+\frac{4}{9}\\=\frac{117}{90}+\frac{40}{90}\\=\frac{117+40}{90}\\=\frac{157}{90}\)
6. \(-\left(\frac{-8}{3}\right)+\left(\frac{-15}{-7}\right)\\= \frac{8}{3}+\frac{15}{7}\\=\frac{56}{21}+\frac{45}{21}\\=\frac{56+45}{21}\\=\frac{101}{21}\)
7. \(+\left(\frac{4}{7}\right)-\left(\frac{-2}{9}\right)\\= \frac{4}{7}+\frac{2}{9}\\=\frac{36}{63}+\frac{14}{63}\\=\frac{36+14}{63}\\=\frac{50}{63}\)
8. \(+\left(\frac{7}{-8}\right)-\left(\frac{-3}{7}\right)\\= \frac{-7}{8}+\frac{3}{7}\\=\frac{-49}{56}+\frac{24}{56}\\=\frac{-49+24}{56}\\=\frac{-25}{56}\)
9. \(-\left(\frac{8}{3}\right)+\left(\frac{11}{-13}\right)\\= \frac{-8}{3}-\frac{11}{13}\\=\frac{-104}{39}-\frac{33}{39}\\=\frac{-104-33}{39}\\=\frac{-137}{39}\)
10. \(-\left(\frac{9}{-7}\right)+\left(\frac{5}{-11}\right)\\= \frac{9}{7}-\frac{5}{11}\\=\frac{99}{77}-\frac{35}{77}\\=\frac{99-35}{77}\\=\frac{64}{77}\)
11. \(+\left(\frac{3}{5}\right)-\left(\frac{-14}{-9}\right)\\= \frac{3}{5}-\frac{14}{9}\\=\frac{27}{45}-\frac{70}{45}\\=\frac{27-70}{45}\\=\frac{-43}{45}\)
12. \(-\left(\frac{-11}{-7}\right)+\left(\frac{-6}{5}\right)\\= \frac{-11}{7}-\frac{6}{5}\\=\frac{-55}{35}-\frac{42}{35}\\=\frac{-55-42}{35}\\=\frac{-97}{35}\)