Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{2}{5}\right)+\left(\frac{-15}{11}\right)\\= \frac{-2}{5}-\frac{15}{11}\\=\frac{-22}{55}-\frac{75}{55}\\=\frac{-22-75}{55}\\=\frac{-97}{55}\)
2. \(+\left(\frac{-9}{2}\right)+\left(\frac{13}{-7}\right)\\= \frac{-9}{2}-\frac{13}{7}\\=\frac{-63}{14}-\frac{26}{14}\\=\frac{-63-26}{14}\\=\frac{-89}{14}\)
3. \(+\left(\frac{-3}{-7}\right)+\left(\frac{3}{-7}\right)\\= \frac{3}{7}-\frac{3}{7}\\=\frac{3-3}{7}\\=\frac{0}{7}\\=\frac{0}{1}\)
4. \(+\left(\frac{12}{-11}\right)+\left(\frac{-6}{5}\right)\\= \frac{-12}{11}-\frac{6}{5}\\=\frac{-60}{55}-\frac{66}{55}\\=\frac{-60-66}{55}\\=\frac{-126}{55}\)
5. \(-\left(\frac{-8}{-11}\right)+\left(\frac{13}{-2}\right)\\= \frac{-8}{11}-\frac{13}{2}\\=\frac{-16}{22}-\frac{143}{22}\\=\frac{-16-143}{22}\\=\frac{-159}{22}\)
6. \(+\left(\frac{13}{-10}\right)-\left(\frac{-14}{13}\right)\\= \frac{-13}{10}+\frac{14}{13}\\=\frac{-169}{130}+\frac{140}{130}\\=\frac{-169+140}{130}\\=\frac{-29}{130}\)
7. \(-\left(\frac{-10}{9}\right)+\left(\frac{15}{7}\right)\\= \frac{10}{9}+\frac{15}{7}\\=\frac{70}{63}+\frac{135}{63}\\=\frac{70+135}{63}\\=\frac{205}{63}\)
8. \(+\left(\frac{-12}{-11}\right)+\left(\frac{-6}{-5}\right)\\= \frac{12}{11}+\frac{6}{5}\\=\frac{60}{55}+\frac{66}{55}\\=\frac{60+66}{55}\\=\frac{126}{55}\)
9. \(-\left(\frac{-13}{4}\right)+\left(\frac{14}{11}\right)\\= \frac{13}{4}+\frac{14}{11}\\=\frac{143}{44}+\frac{56}{44}\\=\frac{143+56}{44}\\=\frac{199}{44}\)
10. \(-\left(\frac{11}{-8}\right)-\left(\frac{12}{-5}\right)\\= \frac{11}{8}+\frac{12}{5}\\=\frac{55}{40}+\frac{96}{40}\\=\frac{55+96}{40}\\=\frac{151}{40}\)
11. \(-\left(\frac{5}{6}\right)+\left(\frac{3}{11}\right)\\= \frac{-5}{6}+\frac{3}{11}\\=\frac{-55}{66}+\frac{18}{66}\\=\frac{-55+18}{66}\\=\frac{-37}{66}\)
12. \(+\left(\frac{11}{-2}\right)-\left(\frac{3}{-2}\right)\\= \frac{-11}{2}+\frac{3}{2}\\=\frac{-11+3}{2}\\=\frac{-8}{2}\\=\frac{-4}{1}\)