Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{8}{3}\right)-\left(\frac{-11}{-8}\right)\\= \frac{8}{3}-\frac{11}{8}\\=\frac{64}{24}-\frac{33}{24}\\=\frac{64-33}{24}\\=\frac{31}{24}\)
2. \(-\left(\frac{14}{3}\right)+\left(\frac{-9}{7}\right)\\= \frac{-14}{3}-\frac{9}{7}\\=\frac{-98}{21}-\frac{27}{21}\\=\frac{-98-27}{21}\\=\frac{-125}{21}\)
3. \(+\left(\frac{9}{-4}\right)+\left(\frac{-12}{5}\right)\\= \frac{-9}{4}-\frac{12}{5}\\=\frac{-45}{20}-\frac{48}{20}\\=\frac{-45-48}{20}\\=\frac{-93}{20}\)
4. \(-\left(\frac{9}{-8}\right)-\left(\frac{2}{-11}\right)\\= \frac{9}{8}+\frac{2}{11}\\=\frac{99}{88}+\frac{16}{88}\\=\frac{99+16}{88}\\=\frac{115}{88}\)
5. \(-\left(\frac{14}{-13}\right)+\left(\frac{-14}{13}\right)\\= \frac{14}{13}-\frac{14}{13}\\=\frac{14-14}{13}\\=\frac{0}{13}\\=\frac{0}{1}\)
6. \(+\left(\frac{-5}{-14}\right)+\left(\frac{-5}{-9}\right)\\= \frac{5}{14}+\frac{5}{9}\\=\frac{45}{126}+\frac{70}{126}\\=\frac{45+70}{126}\\=\frac{115}{126}\)
7. \(+\left(\frac{11}{-12}\right)-\left(\frac{-6}{-11}\right)\\= \frac{-11}{12}-\frac{6}{11}\\=\frac{-121}{132}-\frac{72}{132}\\=\frac{-121-72}{132}\\=\frac{-193}{132}\)
8. \(+\left(\frac{6}{11}\right)-\left(\frac{-5}{13}\right)\\= \frac{6}{11}+\frac{5}{13}\\=\frac{78}{143}+\frac{55}{143}\\=\frac{78+55}{143}\\=\frac{133}{143}\)
9. \(-\left(\frac{-12}{5}\right)+\left(\frac{-10}{-7}\right)\\= \frac{12}{5}+\frac{10}{7}\\=\frac{84}{35}+\frac{50}{35}\\=\frac{84+50}{35}\\=\frac{134}{35}\)
10. \(+\left(\frac{9}{11}\right)+\left(\frac{-11}{2}\right)\\= \frac{9}{11}-\frac{11}{2}\\=\frac{18}{22}-\frac{121}{22}\\=\frac{18-121}{22}\\=\frac{-103}{22}\)
11. \(-\left(\frac{15}{-14}\right)-\left(\frac{7}{-2}\right)\\= \frac{15}{14}+\frac{7}{2}\\=\frac{15+7}{14}\\=\frac{22}{14}\\=\frac{11}{7}\)
12. \(+\left(\frac{-9}{14}\right)+\left(\frac{-11}{-2}\right)\\= \frac{-9}{14}+\frac{11}{2}\\=\frac{-9+11}{14}\\=\frac{2}{14}\\=\frac{1}{7}\)