Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-6}{5}\right)+\left(\frac{6}{-13}\right)\\= \frac{6}{5}-\frac{6}{13}\\=\frac{78}{65}-\frac{30}{65}\\=\frac{78-30}{65}\\=\frac{48}{65}\)
2. \(-\left(\frac{15}{7}\right)+\left(\frac{4}{11}\right)\\= \frac{-15}{7}+\frac{4}{11}\\=\frac{-165}{77}+\frac{28}{77}\\=\frac{-165+28}{77}\\=\frac{-137}{77}\)
3. \(+\left(\frac{-7}{11}\right)-\left(\frac{13}{10}\right)\\= \frac{-7}{11}-\frac{13}{10}\\=\frac{-70}{110}-\frac{143}{110}\\=\frac{-70-143}{110}\\=\frac{-213}{110}\)
4. \(-\left(\frac{-6}{-13}\right)+\left(\frac{12}{-11}\right)\\= \frac{-6}{13}-\frac{12}{11}\\=\frac{-66}{143}-\frac{156}{143}\\=\frac{-66-156}{143}\\=\frac{-222}{143}\)
5. \(+\left(\frac{12}{-5}\right)-\left(\frac{-12}{5}\right)\\= \frac{-12}{5}+\frac{12}{5}\\=\frac{-12+12}{5}\\=\frac{0}{5}\\=\frac{0}{1}\)
6. \(-\left(\frac{-6}{5}\right)-\left(\frac{-11}{-7}\right)\\= \frac{6}{5}-\frac{11}{7}\\=\frac{42}{35}-\frac{55}{35}\\=\frac{42-55}{35}\\=\frac{-13}{35}\)
7. \(-\left(\frac{-8}{3}\right)+\left(\frac{4}{13}\right)\\= \frac{8}{3}+\frac{4}{13}\\=\frac{104}{39}+\frac{12}{39}\\=\frac{104+12}{39}\\=\frac{116}{39}\)
8. \(-\left(\frac{12}{7}\right)+\left(\frac{-11}{6}\right)\\= \frac{-12}{7}-\frac{11}{6}\\=\frac{-72}{42}-\frac{77}{42}\\=\frac{-72-77}{42}\\=\frac{-149}{42}\)
9. \(-\left(\frac{-5}{-4}\right)+\left(\frac{14}{9}\right)\\= \frac{-5}{4}+\frac{14}{9}\\=\frac{-45}{36}+\frac{56}{36}\\=\frac{-45+56}{36}\\=\frac{11}{36}\)
10. \(-\left(\frac{4}{-7}\right)-\left(\frac{7}{-4}\right)\\= \frac{4}{7}+\frac{7}{4}\\=\frac{16}{28}+\frac{49}{28}\\=\frac{16+49}{28}\\=\frac{65}{28}\)
11. \(-\left(\frac{9}{11}\right)-\left(\frac{7}{12}\right)\\= \frac{-9}{11}-\frac{7}{12}\\=\frac{-108}{132}-\frac{77}{132}\\=\frac{-108-77}{132}\\=\frac{-185}{132}\)
12. \(-\left(\frac{-11}{-4}\right)+\left(\frac{-5}{-11}\right)\\= \frac{-11}{4}+\frac{5}{11}\\=\frac{-121}{44}+\frac{20}{44}\\=\frac{-121+20}{44}\\=\frac{-101}{44}\)