Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{6}{5}\right)-\left(\frac{2}{7}\right)\\= \frac{-6}{5}-\frac{2}{7}\\=\frac{-42}{35}-\frac{10}{35}\\=\frac{-42-10}{35}\\=\frac{-52}{35}\)
2. \(+\left(\frac{13}{8}\right)-\left(\frac{15}{-13}\right)\\= \frac{13}{8}+\frac{15}{13}\\=\frac{169}{104}+\frac{120}{104}\\=\frac{169+120}{104}\\=\frac{289}{104}\)
3. \(+\left(\frac{11}{-12}\right)+\left(\frac{-11}{3}\right)\\= \frac{-11}{12}-\frac{11}{3}\\=\frac{-11-11}{12}\\=\frac{-22}{12}\\=\frac{-11}{6}\)
4. \(-\left(\frac{-11}{-5}\right)-\left(\frac{7}{9}\right)\\= \frac{-11}{5}-\frac{7}{9}\\=\frac{-99}{45}-\frac{35}{45}\\=\frac{-99-35}{45}\\=\frac{-134}{45}\)
5. \(-\left(\frac{3}{-7}\right)-\left(\frac{-12}{11}\right)\\= \frac{3}{7}+\frac{12}{11}\\=\frac{33}{77}+\frac{84}{77}\\=\frac{33+84}{77}\\=\frac{117}{77}\)
6. \(+\left(\frac{-6}{11}\right)-\left(\frac{-3}{4}\right)\\= \frac{-6}{11}+\frac{3}{4}\\=\frac{-24}{44}+\frac{33}{44}\\=\frac{-24+33}{44}\\=\frac{9}{44}\)
7. \(+\left(\frac{-10}{-7}\right)-\left(\frac{11}{2}\right)\\= \frac{10}{7}-\frac{11}{2}\\=\frac{20}{14}-\frac{77}{14}\\=\frac{20-77}{14}\\=\frac{-57}{14}\)
8. \(-\left(\frac{3}{-7}\right)+\left(\frac{-10}{7}\right)\\= \frac{3}{7}-\frac{10}{7}\\=\frac{3-10}{7}\\=\frac{-7}{7}\\=\frac{-1}{1}\)
9. \(-\left(\frac{8}{11}\right)-\left(\frac{2}{7}\right)\\= \frac{-8}{11}-\frac{2}{7}\\=\frac{-56}{77}-\frac{22}{77}\\=\frac{-56-22}{77}\\=\frac{-78}{77}\)
10. \(-\left(\frac{-14}{3}\right)-\left(\frac{-2}{13}\right)\\= \frac{14}{3}+\frac{2}{13}\\=\frac{182}{39}+\frac{6}{39}\\=\frac{182+6}{39}\\=\frac{188}{39}\)
11. \(+\left(\frac{10}{-7}\right)+\left(\frac{-3}{-4}\right)\\= \frac{-10}{7}+\frac{3}{4}\\=\frac{-40}{28}+\frac{21}{28}\\=\frac{-40+21}{28}\\=\frac{-19}{28}\)
12. \(+\left(\frac{15}{8}\right)-\left(\frac{2}{-5}\right)\\= \frac{15}{8}+\frac{2}{5}\\=\frac{75}{40}+\frac{16}{40}\\=\frac{75+16}{40}\\=\frac{91}{40}\)