Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-9}{14}\right)+\left(\frac{-10}{7}\right)\\= \frac{9}{14}-\frac{10}{7}\\=\frac{9-10}{14}\\=\frac{-1}{14}\)
2. \(-\left(\frac{-2}{-3}\right)+\left(\frac{11}{9}\right)\\= \frac{-2}{3}+\frac{11}{9}\\=\frac{-6}{9}+\frac{11}{9}\\=\frac{-6+11}{9}\\=\frac{5}{9}\)
3. \(-\left(\frac{15}{-13}\right)-\left(\frac{-3}{4}\right)\\= \frac{15}{13}+\frac{3}{4}\\=\frac{60}{52}+\frac{39}{52}\\=\frac{60+39}{52}\\=\frac{99}{52}\)
4. \(-\left(\frac{14}{-3}\right)-\left(\frac{12}{-7}\right)\\= \frac{14}{3}+\frac{12}{7}\\=\frac{98}{21}+\frac{36}{21}\\=\frac{98+36}{21}\\=\frac{134}{21}\)
5. \(+\left(\frac{-10}{7}\right)+\left(\frac{-4}{-11}\right)\\= \frac{-10}{7}+\frac{4}{11}\\=\frac{-110}{77}+\frac{28}{77}\\=\frac{-110+28}{77}\\=\frac{-82}{77}\)
6. \(-\left(\frac{3}{-2}\right)-\left(\frac{-5}{6}\right)\\= \frac{3}{2}+\frac{5}{6}\\=\frac{9}{6}+\frac{5}{6}\\=\frac{9+5}{6}\\=\frac{14}{6}\\=\frac{7}{3}\)
7. \(+\left(\frac{-6}{5}\right)+\left(\frac{13}{9}\right)\\= \frac{-6}{5}+\frac{13}{9}\\=\frac{-54}{45}+\frac{65}{45}\\=\frac{-54+65}{45}\\=\frac{11}{45}\)
8. \(+\left(\frac{14}{3}\right)-\left(\frac{7}{-10}\right)\\= \frac{14}{3}+\frac{7}{10}\\=\frac{140}{30}+\frac{21}{30}\\=\frac{140+21}{30}\\=\frac{161}{30}\)
9. \(+\left(\frac{3}{-13}\right)-\left(\frac{9}{8}\right)\\= \frac{-3}{13}-\frac{9}{8}\\=\frac{-24}{104}-\frac{117}{104}\\=\frac{-24-117}{104}\\=\frac{-141}{104}\)
10. \(+\left(\frac{9}{-13}\right)+\left(\frac{-5}{6}\right)\\= \frac{-9}{13}-\frac{5}{6}\\=\frac{-54}{78}-\frac{65}{78}\\=\frac{-54-65}{78}\\=\frac{-119}{78}\)
11. \(+\left(\frac{12}{-5}\right)-\left(\frac{9}{-2}\right)\\= \frac{-12}{5}+\frac{9}{2}\\=\frac{-24}{10}+\frac{45}{10}\\=\frac{-24+45}{10}\\=\frac{21}{10}\)
12. \(-\left(\frac{-6}{-11}\right)-\left(\frac{-9}{8}\right)\\= \frac{-6}{11}+\frac{9}{8}\\=\frac{-48}{88}+\frac{99}{88}\\=\frac{-48+99}{88}\\=\frac{51}{88}\)