Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{3}{11}\right)+\left(\frac{14}{-11}\right)\\= \frac{3}{11}-\frac{14}{11}\\=\frac{3-14}{11}\\=\frac{-11}{11}\\=\frac{-1}{1}\)
2. \(-\left(\frac{11}{2}\right)+\left(\frac{11}{-4}\right)\\= \frac{-11}{2}-\frac{11}{4}\\=\frac{-22}{4}-\frac{11}{4}\\=\frac{-22-11}{4}\\=\frac{-33}{4}\)
3. \(+\left(\frac{-7}{2}\right)+\left(\frac{6}{7}\right)\\= \frac{-7}{2}+\frac{6}{7}\\=\frac{-49}{14}+\frac{12}{14}\\=\frac{-49+12}{14}\\=\frac{-37}{14}\)
4. \(-\left(\frac{-12}{-7}\right)-\left(\frac{9}{10}\right)\\= \frac{-12}{7}-\frac{9}{10}\\=\frac{-120}{70}-\frac{63}{70}\\=\frac{-120-63}{70}\\=\frac{-183}{70}\)
5. \(+\left(\frac{-9}{7}\right)+\left(\frac{13}{-7}\right)\\= \frac{-9}{7}-\frac{13}{7}\\=\frac{-9-13}{7}\\=\frac{-22}{7}\)
6. \(-\left(\frac{-15}{-7}\right)+\left(\frac{6}{7}\right)\\= \frac{-15}{7}+\frac{6}{7}\\=\frac{-15+6}{7}\\=\frac{-9}{7}\)
7. \(-\left(\frac{-3}{-5}\right)-\left(\frac{8}{-5}\right)\\= \frac{-3}{5}+\frac{8}{5}\\=\frac{-3+8}{5}\\=\frac{5}{5}\\=\frac{1}{1}\)
8. \(+\left(\frac{4}{-7}\right)+\left(\frac{9}{8}\right)\\= \frac{-4}{7}+\frac{9}{8}\\=\frac{-32}{56}+\frac{63}{56}\\=\frac{-32+63}{56}\\=\frac{31}{56}\)
9. \(-\left(\frac{-15}{-11}\right)-\left(\frac{-3}{7}\right)\\= \frac{-15}{11}+\frac{3}{7}\\=\frac{-105}{77}+\frac{33}{77}\\=\frac{-105+33}{77}\\=\frac{-72}{77}\)
10. \(-\left(\frac{2}{-7}\right)+\left(\frac{-14}{9}\right)\\= \frac{2}{7}-\frac{14}{9}\\=\frac{18}{63}-\frac{98}{63}\\=\frac{18-98}{63}\\=\frac{-80}{63}\)
11. \(+\left(\frac{7}{6}\right)-\left(\frac{-14}{11}\right)\\= \frac{7}{6}+\frac{14}{11}\\=\frac{77}{66}+\frac{84}{66}\\=\frac{77+84}{66}\\=\frac{161}{66}\)
12. \(-\left(\frac{-3}{-4}\right)-\left(\frac{13}{-2}\right)\\= \frac{-3}{4}+\frac{13}{2}\\=\frac{-3+13}{4}\\=\frac{10}{4}\\=\frac{5}{2}\)