Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-15}{4}\right)+\left(\frac{-14}{-3}\right)\\= \frac{-15}{4}+\frac{14}{3}\\=\frac{-45}{12}+\frac{56}{12}\\=\frac{-45+56}{12}\\=\frac{11}{12}\)
2. \(-\left(\frac{6}{-11}\right)+\left(\frac{-11}{8}\right)\\= \frac{6}{11}-\frac{11}{8}\\=\frac{48}{88}-\frac{121}{88}\\=\frac{48-121}{88}\\=\frac{-73}{88}\)
3. \(+\left(\frac{10}{7}\right)+\left(\frac{-8}{-13}\right)\\= \frac{10}{7}+\frac{8}{13}\\=\frac{130}{91}+\frac{56}{91}\\=\frac{130+56}{91}\\=\frac{186}{91}\)
4. \(-\left(\frac{-9}{-4}\right)+\left(\frac{8}{-3}\right)\\= \frac{-9}{4}-\frac{8}{3}\\=\frac{-27}{12}-\frac{32}{12}\\=\frac{-27-32}{12}\\=\frac{-59}{12}\)
5. \(-\left(\frac{-5}{-6}\right)-\left(\frac{-6}{11}\right)\\= \frac{-5}{6}+\frac{6}{11}\\=\frac{-55}{66}+\frac{36}{66}\\=\frac{-55+36}{66}\\=\frac{-19}{66}\)
6. \(+\left(\frac{-8}{-11}\right)-\left(\frac{6}{11}\right)\\= \frac{8}{11}-\frac{6}{11}\\=\frac{8-6}{11}\\=\frac{2}{11}\)
7. \(+\left(\frac{-13}{-14}\right)-\left(\frac{13}{-9}\right)\\= \frac{13}{14}+\frac{13}{9}\\=\frac{117}{126}+\frac{182}{126}\\=\frac{117+182}{126}\\=\frac{299}{126}\)
8. \(-\left(\frac{7}{-10}\right)-\left(\frac{-15}{-4}\right)\\= \frac{7}{10}-\frac{15}{4}\\=\frac{14}{20}-\frac{75}{20}\\=\frac{14-75}{20}\\=\frac{-61}{20}\)
9. \(-\left(\frac{-9}{-2}\right)+\left(\frac{-3}{11}\right)\\= \frac{-9}{2}-\frac{3}{11}\\=\frac{-99}{22}-\frac{6}{22}\\=\frac{-99-6}{22}\\=\frac{-105}{22}\)
10. \(+\left(\frac{11}{3}\right)-\left(\frac{-13}{-10}\right)\\= \frac{11}{3}-\frac{13}{10}\\=\frac{110}{30}-\frac{39}{30}\\=\frac{110-39}{30}\\=\frac{71}{30}\)
11. \(+\left(\frac{-14}{-9}\right)+\left(\frac{14}{3}\right)\\= \frac{14}{9}+\frac{14}{3}\\=\frac{14+14}{9}\\=\frac{28}{9}\)
12. \(+\left(\frac{-7}{11}\right)-\left(\frac{-5}{11}\right)\\= \frac{-7}{11}+\frac{5}{11}\\=\frac{-7+5}{11}\\=\frac{-2}{11}\)