Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{9}{7}\right)+\left(\frac{-13}{10}\right)\\= \frac{-9}{7}-\frac{13}{10}\\=\frac{-90}{70}-\frac{91}{70}\\=\frac{-90-91}{70}\\=\frac{-181}{70}\)
2. \(+\left(\frac{-6}{5}\right)+\left(\frac{13}{9}\right)\\= \frac{-6}{5}+\frac{13}{9}\\=\frac{-54}{45}+\frac{65}{45}\\=\frac{-54+65}{45}\\=\frac{11}{45}\)
3. \(-\left(\frac{6}{5}\right)+\left(\frac{-6}{13}\right)\\= \frac{-6}{5}-\frac{6}{13}\\=\frac{-78}{65}-\frac{30}{65}\\=\frac{-78-30}{65}\\=\frac{-108}{65}\)
4. \(+\left(\frac{12}{7}\right)+\left(\frac{-9}{-10}\right)\\= \frac{12}{7}+\frac{9}{10}\\=\frac{120}{70}+\frac{63}{70}\\=\frac{120+63}{70}\\=\frac{183}{70}\)
5. \(-\left(\frac{9}{-7}\right)-\left(\frac{3}{10}\right)\\= \frac{9}{7}-\frac{3}{10}\\=\frac{90}{70}-\frac{21}{70}\\=\frac{90-21}{70}\\=\frac{69}{70}\)
6. \(-\left(\frac{-5}{6}\right)+\left(\frac{15}{7}\right)\\= \frac{5}{6}+\frac{15}{7}\\=\frac{35}{42}+\frac{90}{42}\\=\frac{35+90}{42}\\=\frac{125}{42}\)
7. \(-\left(\frac{8}{-7}\right)+\left(\frac{-14}{3}\right)\\= \frac{8}{7}-\frac{14}{3}\\=\frac{24}{21}-\frac{98}{21}\\=\frac{24-98}{21}\\=\frac{-74}{21}\)
8. \(+\left(\frac{-8}{-9}\right)-\left(\frac{8}{-13}\right)\\= \frac{8}{9}+\frac{8}{13}\\=\frac{104}{117}+\frac{72}{117}\\=\frac{104+72}{117}\\=\frac{176}{117}\)
9. \(+\left(\frac{14}{11}\right)+\left(\frac{14}{-9}\right)\\= \frac{14}{11}-\frac{14}{9}\\=\frac{126}{99}-\frac{154}{99}\\=\frac{126-154}{99}\\=\frac{-28}{99}\)
10. \(+\left(\frac{10}{-3}\right)+\left(\frac{-14}{13}\right)\\= \frac{-10}{3}-\frac{14}{13}\\=\frac{-130}{39}-\frac{42}{39}\\=\frac{-130-42}{39}\\=\frac{-172}{39}\)
11. \(-\left(\frac{-11}{-3}\right)-\left(\frac{-6}{-7}\right)\\= \frac{-11}{3}-\frac{6}{7}\\=\frac{-77}{21}-\frac{18}{21}\\=\frac{-77-18}{21}\\=\frac{-95}{21}\)
12. \(+\left(\frac{8}{-3}\right)-\left(\frac{14}{9}\right)\\= \frac{-8}{3}-\frac{14}{9}\\=\frac{-24}{9}-\frac{14}{9}\\=\frac{-24-14}{9}\\=\frac{-38}{9}\)