Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{6}{5}\right)+\left(\frac{4}{3}\right)\\= \frac{-6}{5}+\frac{4}{3}\\=\frac{-18}{15}+\frac{20}{15}\\=\frac{-18+20}{15}\\=\frac{2}{15}\)
2. \(+\left(\frac{-10}{3}\right)-\left(\frac{10}{-7}\right)\\= \frac{-10}{3}+\frac{10}{7}\\=\frac{-70}{21}+\frac{30}{21}\\=\frac{-70+30}{21}\\=\frac{-40}{21}\)
3. \(-\left(\frac{-8}{3}\right)+\left(\frac{2}{13}\right)\\= \frac{8}{3}+\frac{2}{13}\\=\frac{104}{39}+\frac{6}{39}\\=\frac{104+6}{39}\\=\frac{110}{39}\)
4. \(+\left(\frac{-13}{14}\right)-\left(\frac{4}{13}\right)\\= \frac{-13}{14}-\frac{4}{13}\\=\frac{-169}{182}-\frac{56}{182}\\=\frac{-169-56}{182}\\=\frac{-225}{182}\)
5. \(+\left(\frac{-8}{-7}\right)-\left(\frac{-8}{-3}\right)\\= \frac{8}{7}-\frac{8}{3}\\=\frac{24}{21}-\frac{56}{21}\\=\frac{24-56}{21}\\=\frac{-32}{21}\)
6. \(+\left(\frac{13}{-7}\right)-\left(\frac{15}{7}\right)\\= \frac{-13}{7}-\frac{15}{7}\\=\frac{-13-15}{7}\\=\frac{-28}{7}\\=\frac{-4}{1}\)
7. \(+\left(\frac{-10}{-3}\right)-\left(\frac{-11}{4}\right)\\= \frac{10}{3}+\frac{11}{4}\\=\frac{40}{12}+\frac{33}{12}\\=\frac{40+33}{12}\\=\frac{73}{12}\)
8. \(+\left(\frac{-3}{7}\right)-\left(\frac{2}{3}\right)\\= \frac{-3}{7}-\frac{2}{3}\\=\frac{-9}{21}-\frac{14}{21}\\=\frac{-9-14}{21}\\=\frac{-23}{21}\)
9. \(+\left(\frac{-15}{-2}\right)-\left(\frac{7}{6}\right)\\= \frac{15}{2}-\frac{7}{6}\\=\frac{45}{6}-\frac{7}{6}\\=\frac{45-7}{6}\\=\frac{38}{6}\\=\frac{19}{3}\)
10. \(+\left(\frac{12}{5}\right)+\left(\frac{7}{-2}\right)\\= \frac{12}{5}-\frac{7}{2}\\=\frac{24}{10}-\frac{35}{10}\\=\frac{24-35}{10}\\=\frac{-11}{10}\)
11. \(+\left(\frac{-4}{9}\right)+\left(\frac{2}{-3}\right)\\= \frac{-4}{9}-\frac{2}{3}\\=\frac{-4-2}{9}\\=\frac{-6}{9}\\=\frac{-2}{3}\)
12. \(+\left(\frac{-3}{-8}\right)+\left(\frac{-14}{-9}\right)\\= \frac{3}{8}+\frac{14}{9}\\=\frac{27}{72}+\frac{112}{72}\\=\frac{27+112}{72}\\=\frac{139}{72}\)