Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-4}{-7}\right)-\left(\frac{6}{-5}\right)\\= \frac{-4}{7}+\frac{6}{5}\\=\frac{-20}{35}+\frac{42}{35}\\=\frac{-20+42}{35}\\=\frac{22}{35}\)
2. \(-\left(\frac{13}{6}\right)+\left(\frac{-4}{-3}\right)\\= \frac{-13}{6}+\frac{4}{3}\\=\frac{-13+4}{6}\\=\frac{-9}{6}\\=\frac{-3}{2}\)
3. \(+\left(\frac{8}{3}\right)+\left(\frac{14}{3}\right)\\= \frac{8}{3}+\frac{14}{3}\\=\frac{8+14}{3}\\=\frac{22}{3}\)
4. \(-\left(\frac{15}{13}\right)+\left(\frac{14}{5}\right)\\= \frac{-15}{13}+\frac{14}{5}\\=\frac{-75}{65}+\frac{182}{65}\\=\frac{-75+182}{65}\\=\frac{107}{65}\)
5. \(-\left(\frac{7}{12}\right)-\left(\frac{6}{-5}\right)\\= \frac{-7}{12}+\frac{6}{5}\\=\frac{-35}{60}+\frac{72}{60}\\=\frac{-35+72}{60}\\=\frac{37}{60}\)
6. \(-\left(\frac{5}{14}\right)+\left(\frac{14}{9}\right)\\= \frac{-5}{14}+\frac{14}{9}\\=\frac{-45}{126}+\frac{196}{126}\\=\frac{-45+196}{126}\\=\frac{151}{126}\)
7. \(-\left(\frac{10}{7}\right)+\left(\frac{14}{9}\right)\\= \frac{-10}{7}+\frac{14}{9}\\=\frac{-90}{63}+\frac{98}{63}\\=\frac{-90+98}{63}\\=\frac{8}{63}\)
8. \(+\left(\frac{3}{-4}\right)+\left(\frac{15}{-7}\right)\\= \frac{-3}{4}-\frac{15}{7}\\=\frac{-21}{28}-\frac{60}{28}\\=\frac{-21-60}{28}\\=\frac{-81}{28}\)
9. \(-\left(\frac{9}{-13}\right)+\left(\frac{-14}{-3}\right)\\= \frac{9}{13}+\frac{14}{3}\\=\frac{27}{39}+\frac{182}{39}\\=\frac{27+182}{39}\\=\frac{209}{39}\)
10. \(+\left(\frac{7}{-13}\right)-\left(\frac{10}{11}\right)\\= \frac{-7}{13}-\frac{10}{11}\\=\frac{-77}{143}-\frac{130}{143}\\=\frac{-77-130}{143}\\=\frac{-207}{143}\)
11. \(-\left(\frac{15}{7}\right)+\left(\frac{-12}{5}\right)\\= \frac{-15}{7}-\frac{12}{5}\\=\frac{-75}{35}-\frac{84}{35}\\=\frac{-75-84}{35}\\=\frac{-159}{35}\)
12. \(+\left(\frac{14}{-5}\right)-\left(\frac{-15}{7}\right)\\= \frac{-14}{5}+\frac{15}{7}\\=\frac{-98}{35}+\frac{75}{35}\\=\frac{-98+75}{35}\\=\frac{-23}{35}\)