Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-8}{3}\right)+\left(\frac{11}{7}\right)\\= \frac{8}{3}+\frac{11}{7}\\=\frac{56}{21}+\frac{33}{21}\\=\frac{56+33}{21}\\=\frac{89}{21}\)
2. \(+\left(\frac{6}{-5}\right)+\left(\frac{12}{5}\right)\\= \frac{-6}{5}+\frac{12}{5}\\=\frac{-6+12}{5}\\=\frac{6}{5}\)
3. \(+\left(\frac{5}{-13}\right)+\left(\frac{-12}{7}\right)\\= \frac{-5}{13}-\frac{12}{7}\\=\frac{-35}{91}-\frac{156}{91}\\=\frac{-35-156}{91}\\=\frac{-191}{91}\)
4. \(-\left(\frac{-13}{14}\right)+\left(\frac{-14}{-3}\right)\\= \frac{13}{14}+\frac{14}{3}\\=\frac{39}{42}+\frac{196}{42}\\=\frac{39+196}{42}\\=\frac{235}{42}\)
5. \(-\left(\frac{-9}{-13}\right)+\left(\frac{2}{-11}\right)\\= \frac{-9}{13}-\frac{2}{11}\\=\frac{-99}{143}-\frac{26}{143}\\=\frac{-99-26}{143}\\=\frac{-125}{143}\)
6. \(+\left(\frac{5}{9}\right)+\left(\frac{-14}{-3}\right)\\= \frac{5}{9}+\frac{14}{3}\\=\frac{5+14}{9}\\=\frac{19}{9}\)
7. \(+\left(\frac{12}{-5}\right)-\left(\frac{11}{8}\right)\\= \frac{-12}{5}-\frac{11}{8}\\=\frac{-96}{40}-\frac{55}{40}\\=\frac{-96-55}{40}\\=\frac{-151}{40}\)
8. \(-\left(\frac{13}{4}\right)+\left(\frac{11}{-3}\right)\\= \frac{-13}{4}-\frac{11}{3}\\=\frac{-39}{12}-\frac{44}{12}\\=\frac{-39-44}{12}\\=\frac{-83}{12}\)
9. \(-\left(\frac{-5}{-11}\right)-\left(\frac{11}{2}\right)\\= \frac{-5}{11}-\frac{11}{2}\\=\frac{-10}{22}-\frac{121}{22}\\=\frac{-10-121}{22}\\=\frac{-131}{22}\)
10. \(-\left(\frac{3}{10}\right)+\left(\frac{-5}{-11}\right)\\= \frac{-3}{10}+\frac{5}{11}\\=\frac{-33}{110}+\frac{50}{110}\\=\frac{-33+50}{110}\\=\frac{17}{110}\)
11. \(-\left(\frac{-12}{-11}\right)-\left(\frac{10}{11}\right)\\= \frac{-12}{11}-\frac{10}{11}\\=\frac{-12-10}{11}\\=\frac{-22}{11}\\=\frac{-2}{1}\)
12. \(+\left(\frac{3}{-4}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-3}{4}+\frac{12}{5}\\=\frac{-15}{20}+\frac{48}{20}\\=\frac{-15+48}{20}\\=\frac{33}{20}\)