Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{15}{11}\right)-\left(\frac{11}{14}\right)\\= \frac{-15}{11}-\frac{11}{14}\\=\frac{-210}{154}-\frac{121}{154}\\=\frac{-210-121}{154}\\=\frac{-331}{154}\)
2. \(-\left(\frac{-8}{11}\right)-\left(\frac{-11}{-10}\right)\\= \frac{8}{11}-\frac{11}{10}\\=\frac{80}{110}-\frac{121}{110}\\=\frac{80-121}{110}\\=\frac{-41}{110}\)
3. \(+\left(\frac{-9}{-4}\right)-\left(\frac{4}{3}\right)\\= \frac{9}{4}-\frac{4}{3}\\=\frac{27}{12}-\frac{16}{12}\\=\frac{27-16}{12}\\=\frac{11}{12}\)
4. \(+\left(\frac{15}{4}\right)+\left(\frac{4}{-3}\right)\\= \frac{15}{4}-\frac{4}{3}\\=\frac{45}{12}-\frac{16}{12}\\=\frac{45-16}{12}\\=\frac{29}{12}\)
5. \(-\left(\frac{-4}{7}\right)-\left(\frac{-13}{14}\right)\\= \frac{4}{7}+\frac{13}{14}\\=\frac{8}{14}+\frac{13}{14}\\=\frac{8+13}{14}\\=\frac{21}{14}\\=\frac{3}{2}\)
6. \(+\left(\frac{-7}{-12}\right)-\left(\frac{-9}{4}\right)\\= \frac{7}{12}+\frac{9}{4}\\=\frac{7+9}{12}\\=\frac{16}{12}\\=\frac{4}{3}\)
7. \(-\left(\frac{-11}{-2}\right)-\left(\frac{3}{-11}\right)\\= \frac{-11}{2}+\frac{3}{11}\\=\frac{-121}{22}+\frac{6}{22}\\=\frac{-121+6}{22}\\=\frac{-115}{22}\)
8. \(-\left(\frac{-3}{4}\right)-\left(\frac{-13}{-14}\right)\\= \frac{3}{4}-\frac{13}{14}\\=\frac{21}{28}-\frac{26}{28}\\=\frac{21-26}{28}\\=\frac{-5}{28}\)
9. \(+\left(\frac{12}{5}\right)-\left(\frac{-7}{2}\right)\\= \frac{12}{5}+\frac{7}{2}\\=\frac{24}{10}+\frac{35}{10}\\=\frac{24+35}{10}\\=\frac{59}{10}\)
10. \(-\left(\frac{-14}{5}\right)-\left(\frac{-6}{-5}\right)\\= \frac{14}{5}-\frac{6}{5}\\=\frac{14-6}{5}\\=\frac{8}{5}\)
11. \(+\left(\frac{-3}{7}\right)-\left(\frac{7}{-10}\right)\\= \frac{-3}{7}+\frac{7}{10}\\=\frac{-30}{70}+\frac{49}{70}\\=\frac{-30+49}{70}\\=\frac{19}{70}\)
12. \(+\left(\frac{-10}{3}\right)+\left(\frac{-7}{-6}\right)\\= \frac{-10}{3}+\frac{7}{6}\\=\frac{-20}{6}+\frac{7}{6}\\=\frac{-20+7}{6}\\=\frac{-13}{6}\)