Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{-13}\right)+\left(\frac{-10}{-3}\right)\\= \frac{3}{13}+\frac{10}{3}\\=\frac{9}{39}+\frac{130}{39}\\=\frac{9+130}{39}\\=\frac{139}{39}\)
2. \(+\left(\frac{-2}{5}\right)-\left(\frac{13}{-9}\right)\\= \frac{-2}{5}+\frac{13}{9}\\=\frac{-18}{45}+\frac{65}{45}\\=\frac{-18+65}{45}\\=\frac{47}{45}\)
3. \(-\left(\frac{8}{-3}\right)-\left(\frac{-15}{-11}\right)\\= \frac{8}{3}-\frac{15}{11}\\=\frac{88}{33}-\frac{45}{33}\\=\frac{88-45}{33}\\=\frac{43}{33}\)
4. \(+\left(\frac{-8}{3}\right)+\left(\frac{-9}{10}\right)\\= \frac{-8}{3}-\frac{9}{10}\\=\frac{-80}{30}-\frac{27}{30}\\=\frac{-80-27}{30}\\=\frac{-107}{30}\)
5. \(-\left(\frac{11}{5}\right)-\left(\frac{7}{-3}\right)\\= \frac{-11}{5}+\frac{7}{3}\\=\frac{-33}{15}+\frac{35}{15}\\=\frac{-33+35}{15}\\=\frac{2}{15}\)
6. \(+\left(\frac{-14}{-3}\right)+\left(\frac{-12}{-5}\right)\\= \frac{14}{3}+\frac{12}{5}\\=\frac{70}{15}+\frac{36}{15}\\=\frac{70+36}{15}\\=\frac{106}{15}\)
7. \(-\left(\frac{-7}{-8}\right)+\left(\frac{2}{-7}\right)\\= \frac{-7}{8}-\frac{2}{7}\\=\frac{-49}{56}-\frac{16}{56}\\=\frac{-49-16}{56}\\=\frac{-65}{56}\)
8. \(-\left(\frac{-15}{14}\right)+\left(\frac{10}{3}\right)\\= \frac{15}{14}+\frac{10}{3}\\=\frac{45}{42}+\frac{140}{42}\\=\frac{45+140}{42}\\=\frac{185}{42}\)
9. \(-\left(\frac{-10}{7}\right)-\left(\frac{2}{9}\right)\\= \frac{10}{7}-\frac{2}{9}\\=\frac{90}{63}-\frac{14}{63}\\=\frac{90-14}{63}\\=\frac{76}{63}\)
10. \(-\left(\frac{-14}{-9}\right)+\left(\frac{15}{11}\right)\\= \frac{-14}{9}+\frac{15}{11}\\=\frac{-154}{99}+\frac{135}{99}\\=\frac{-154+135}{99}\\=\frac{-19}{99}\)
11. \(+\left(\frac{-2}{-11}\right)+\left(\frac{13}{-2}\right)\\= \frac{2}{11}-\frac{13}{2}\\=\frac{4}{22}-\frac{143}{22}\\=\frac{4-143}{22}\\=\frac{-139}{22}\)
12. \(-\left(\frac{9}{11}\right)-\left(\frac{2}{13}\right)\\= \frac{-9}{11}-\frac{2}{13}\\=\frac{-117}{143}-\frac{22}{143}\\=\frac{-117-22}{143}\\=\frac{-139}{143}\)