Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{5}{6}\right)-\left(\frac{6}{5}\right)\\= \frac{-5}{6}-\frac{6}{5}\\=\frac{-25}{30}-\frac{36}{30}\\=\frac{-25-36}{30}\\=\frac{-61}{30}\)
2. \(+\left(\frac{-10}{3}\right)-\left(\frac{2}{13}\right)\\= \frac{-10}{3}-\frac{2}{13}\\=\frac{-130}{39}-\frac{6}{39}\\=\frac{-130-6}{39}\\=\frac{-136}{39}\)
3. \(+\left(\frac{-11}{3}\right)+\left(\frac{9}{11}\right)\\= \frac{-11}{3}+\frac{9}{11}\\=\frac{-121}{33}+\frac{27}{33}\\=\frac{-121+27}{33}\\=\frac{-94}{33}\)
4. \(+\left(\frac{-5}{-3}\right)-\left(\frac{-5}{-4}\right)\\= \frac{5}{3}-\frac{5}{4}\\=\frac{20}{12}-\frac{15}{12}\\=\frac{20-15}{12}\\=\frac{5}{12}\)
5. \(+\left(\frac{-3}{-8}\right)-\left(\frac{6}{5}\right)\\= \frac{3}{8}-\frac{6}{5}\\=\frac{15}{40}-\frac{48}{40}\\=\frac{15-48}{40}\\=\frac{-33}{40}\)
6. \(-\left(\frac{14}{11}\right)-\left(\frac{-7}{-8}\right)\\= \frac{-14}{11}-\frac{7}{8}\\=\frac{-112}{88}-\frac{77}{88}\\=\frac{-112-77}{88}\\=\frac{-189}{88}\)
7. \(+\left(\frac{-7}{-2}\right)-\left(\frac{-12}{5}\right)\\= \frac{7}{2}+\frac{12}{5}\\=\frac{35}{10}+\frac{24}{10}\\=\frac{35+24}{10}\\=\frac{59}{10}\)
8. \(-\left(\frac{-13}{4}\right)-\left(\frac{-3}{4}\right)\\= \frac{13}{4}+\frac{3}{4}\\=\frac{13+3}{4}\\=\frac{16}{4}\\=\frac{4}{1}\)
9. \(-\left(\frac{-9}{2}\right)-\left(\frac{5}{-14}\right)\\= \frac{9}{2}+\frac{5}{14}\\=\frac{63}{14}+\frac{5}{14}\\=\frac{63+5}{14}\\=\frac{68}{14}\\=\frac{34}{7}\)
10. \(+\left(\frac{-11}{7}\right)+\left(\frac{-9}{-2}\right)\\= \frac{-11}{7}+\frac{9}{2}\\=\frac{-22}{14}+\frac{63}{14}\\=\frac{-22+63}{14}\\=\frac{41}{14}\)
11. \(+\left(\frac{-9}{-2}\right)-\left(\frac{-8}{7}\right)\\= \frac{9}{2}+\frac{8}{7}\\=\frac{63}{14}+\frac{16}{14}\\=\frac{63+16}{14}\\=\frac{79}{14}\)
12. \(+\left(\frac{9}{5}\right)+\left(\frac{10}{11}\right)\\= \frac{9}{5}+\frac{10}{11}\\=\frac{99}{55}+\frac{50}{55}\\=\frac{99+50}{55}\\=\frac{149}{55}\)