Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{9}{-7}\right)-\left(\frac{7}{2}\right)\\= \frac{9}{7}-\frac{7}{2}\\=\frac{18}{14}-\frac{49}{14}\\=\frac{18-49}{14}\\=\frac{-31}{14}\)
2. \(-\left(\frac{2}{-3}\right)+\left(\frac{-3}{-8}\right)\\= \frac{2}{3}+\frac{3}{8}\\=\frac{16}{24}+\frac{9}{24}\\=\frac{16+9}{24}\\=\frac{25}{24}\)
3. \(+\left(\frac{7}{13}\right)+\left(\frac{-14}{9}\right)\\= \frac{7}{13}-\frac{14}{9}\\=\frac{63}{117}-\frac{182}{117}\\=\frac{63-182}{117}\\=\frac{-119}{117}\)
4. \(+\left(\frac{9}{-8}\right)+\left(\frac{12}{5}\right)\\= \frac{-9}{8}+\frac{12}{5}\\=\frac{-45}{40}+\frac{96}{40}\\=\frac{-45+96}{40}\\=\frac{51}{40}\)
5. \(-\left(\frac{-7}{10}\right)+\left(\frac{5}{2}\right)\\= \frac{7}{10}+\frac{5}{2}\\=\frac{7+5}{10}\\=\frac{12}{10}\\=\frac{6}{5}\)
6. \(-\left(\frac{-2}{-3}\right)+\left(\frac{-13}{-7}\right)\\= \frac{-2}{3}+\frac{13}{7}\\=\frac{-14}{21}+\frac{39}{21}\\=\frac{-14+39}{21}\\=\frac{25}{21}\)
7. \(+\left(\frac{2}{-13}\right)-\left(\frac{3}{-11}\right)\\= \frac{-2}{13}+\frac{3}{11}\\=\frac{-22}{143}+\frac{39}{143}\\=\frac{-22+39}{143}\\=\frac{17}{143}\)
8. \(-\left(\frac{10}{-9}\right)-\left(\frac{-14}{-9}\right)\\= \frac{10}{9}-\frac{14}{9}\\=\frac{10-14}{9}\\=\frac{-4}{9}\)
9. \(+\left(\frac{3}{-14}\right)-\left(\frac{14}{-11}\right)\\= \frac{-3}{14}+\frac{14}{11}\\=\frac{-33}{154}+\frac{196}{154}\\=\frac{-33+196}{154}\\=\frac{163}{154}\)
10. \(-\left(\frac{-4}{11}\right)+\left(\frac{-7}{4}\right)\\= \frac{4}{11}-\frac{7}{4}\\=\frac{16}{44}-\frac{77}{44}\\=\frac{16-77}{44}\\=\frac{-61}{44}\)
11. \(-\left(\frac{-13}{-8}\right)+\left(\frac{-15}{11}\right)\\= \frac{-13}{8}-\frac{15}{11}\\=\frac{-143}{88}-\frac{120}{88}\\=\frac{-143-120}{88}\\=\frac{-263}{88}\)
12. \(-\left(\frac{-8}{-3}\right)+\left(\frac{-6}{-13}\right)\\= \frac{-8}{3}+\frac{6}{13}\\=\frac{-104}{39}+\frac{18}{39}\\=\frac{-104+18}{39}\\=\frac{-86}{39}\)