Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{11}{-13}\right)-\left(\frac{14}{-9}\right)\\= \frac{-11}{13}+\frac{14}{9}\\=\frac{-99}{117}+\frac{182}{117}\\=\frac{-99+182}{117}\\=\frac{83}{117}\)
2. \(+\left(\frac{-10}{-7}\right)-\left(\frac{-14}{9}\right)\\= \frac{10}{7}+\frac{14}{9}\\=\frac{90}{63}+\frac{98}{63}\\=\frac{90+98}{63}\\=\frac{188}{63}\)
3. \(+\left(\frac{10}{-9}\right)+\left(\frac{-6}{-7}\right)\\= \frac{-10}{9}+\frac{6}{7}\\=\frac{-70}{63}+\frac{54}{63}\\=\frac{-70+54}{63}\\=\frac{-16}{63}\)
4. \(-\left(\frac{6}{11}\right)-\left(\frac{11}{5}\right)\\= \frac{-6}{11}-\frac{11}{5}\\=\frac{-30}{55}-\frac{121}{55}\\=\frac{-30-121}{55}\\=\frac{-151}{55}\)
5. \(+\left(\frac{12}{-11}\right)-\left(\frac{-6}{7}\right)\\= \frac{-12}{11}+\frac{6}{7}\\=\frac{-84}{77}+\frac{66}{77}\\=\frac{-84+66}{77}\\=\frac{-18}{77}\)
6. \(+\left(\frac{-12}{-7}\right)+\left(\frac{-13}{-9}\right)\\= \frac{12}{7}+\frac{13}{9}\\=\frac{108}{63}+\frac{91}{63}\\=\frac{108+91}{63}\\=\frac{199}{63}\)
7. \(-\left(\frac{11}{-10}\right)-\left(\frac{-4}{3}\right)\\= \frac{11}{10}+\frac{4}{3}\\=\frac{33}{30}+\frac{40}{30}\\=\frac{33+40}{30}\\=\frac{73}{30}\)
8. \(+\left(\frac{8}{3}\right)-\left(\frac{-15}{-7}\right)\\= \frac{8}{3}-\frac{15}{7}\\=\frac{56}{21}-\frac{45}{21}\\=\frac{56-45}{21}\\=\frac{11}{21}\)
9. \(-\left(\frac{3}{7}\right)-\left(\frac{3}{-7}\right)\\= \frac{-3}{7}+\frac{3}{7}\\=\frac{-3+3}{7}\\=\frac{0}{7}\\=\frac{0}{1}\)
10. \(-\left(\frac{14}{-11}\right)-\left(\frac{4}{-11}\right)\\= \frac{14}{11}+\frac{4}{11}\\=\frac{14+4}{11}\\=\frac{18}{11}\)
11. \(-\left(\frac{-9}{13}\right)+\left(\frac{-5}{-9}\right)\\= \frac{9}{13}+\frac{5}{9}\\=\frac{81}{117}+\frac{65}{117}\\=\frac{81+65}{117}\\=\frac{146}{117}\)
12. \(+\left(\frac{9}{13}\right)-\left(\frac{-3}{-7}\right)\\= \frac{9}{13}-\frac{3}{7}\\=\frac{63}{91}-\frac{39}{91}\\=\frac{63-39}{91}\\=\frac{24}{91}\)