Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{3}{-8}\right)-\left(\frac{5}{7}\right)\\= \frac{-3}{8}-\frac{5}{7}\\=\frac{-21}{56}-\frac{40}{56}\\=\frac{-21-40}{56}\\=\frac{-61}{56}\)
2. \(-\left(\frac{14}{3}\right)-\left(\frac{-13}{-14}\right)\\= \frac{-14}{3}-\frac{13}{14}\\=\frac{-196}{42}-\frac{39}{42}\\=\frac{-196-39}{42}\\=\frac{-235}{42}\)
3. \(-\left(\frac{-6}{7}\right)-\left(\frac{14}{3}\right)\\= \frac{6}{7}-\frac{14}{3}\\=\frac{18}{21}-\frac{98}{21}\\=\frac{18-98}{21}\\=\frac{-80}{21}\)
4. \(+\left(\frac{6}{5}\right)+\left(\frac{-3}{-5}\right)\\= \frac{6}{5}+\frac{3}{5}\\=\frac{6+3}{5}\\=\frac{9}{5}\)
5. \(-\left(\frac{7}{-5}\right)-\left(\frac{10}{7}\right)\\= \frac{7}{5}-\frac{10}{7}\\=\frac{49}{35}-\frac{50}{35}\\=\frac{49-50}{35}\\=\frac{-1}{35}\)
6. \(-\left(\frac{-6}{-13}\right)-\left(\frac{-13}{-2}\right)\\= \frac{-6}{13}-\frac{13}{2}\\=\frac{-12}{26}-\frac{169}{26}\\=\frac{-12-169}{26}\\=\frac{-181}{26}\)
7. \(-\left(\frac{14}{9}\right)+\left(\frac{12}{-11}\right)\\= \frac{-14}{9}-\frac{12}{11}\\=\frac{-154}{99}-\frac{108}{99}\\=\frac{-154-108}{99}\\=\frac{-262}{99}\)
8. \(-\left(\frac{-3}{-11}\right)+\left(\frac{6}{5}\right)\\= \frac{-3}{11}+\frac{6}{5}\\=\frac{-15}{55}+\frac{66}{55}\\=\frac{-15+66}{55}\\=\frac{51}{55}\)
9. \(+\left(\frac{10}{13}\right)-\left(\frac{-15}{11}\right)\\= \frac{10}{13}+\frac{15}{11}\\=\frac{110}{143}+\frac{195}{143}\\=\frac{110+195}{143}\\=\frac{305}{143}\)
10. \(+\left(\frac{5}{-3}\right)-\left(\frac{-9}{13}\right)\\= \frac{-5}{3}+\frac{9}{13}\\=\frac{-65}{39}+\frac{27}{39}\\=\frac{-65+27}{39}\\=\frac{-38}{39}\)
11. \(-\left(\frac{-12}{-5}\right)+\left(\frac{9}{10}\right)\\= \frac{-12}{5}+\frac{9}{10}\\=\frac{-24}{10}+\frac{9}{10}\\=\frac{-24+9}{10}\\=\frac{-15}{10}\\=\frac{-3}{2}\)
12. \(-\left(\frac{-5}{-9}\right)+\left(\frac{15}{8}\right)\\= \frac{-5}{9}+\frac{15}{8}\\=\frac{-40}{72}+\frac{135}{72}\\=\frac{-40+135}{72}\\=\frac{95}{72}\)