Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-3}{-4}\right)+\left(\frac{-11}{-2}\right)\\= \frac{-3}{4}+\frac{11}{2}\\=\frac{-3+11}{4}\\=\frac{8}{4}\\=\frac{2}{1}\)
2. \(-\left(\frac{-6}{13}\right)+\left(\frac{5}{-4}\right)\\= \frac{6}{13}-\frac{5}{4}\\=\frac{24}{52}-\frac{65}{52}\\=\frac{24-65}{52}\\=\frac{-41}{52}\)
3. \(+\left(\frac{-3}{13}\right)+\left(\frac{5}{-11}\right)\\= \frac{-3}{13}-\frac{5}{11}\\=\frac{-33}{143}-\frac{65}{143}\\=\frac{-33-65}{143}\\=\frac{-98}{143}\)
4. \(-\left(\frac{5}{-13}\right)-\left(\frac{14}{-3}\right)\\= \frac{5}{13}+\frac{14}{3}\\=\frac{15}{39}+\frac{182}{39}\\=\frac{15+182}{39}\\=\frac{197}{39}\)
5. \(+\left(\frac{-8}{-3}\right)-\left(\frac{-2}{3}\right)\\= \frac{8}{3}+\frac{2}{3}\\=\frac{8+2}{3}\\=\frac{10}{3}\)
6. \(+\left(\frac{-11}{6}\right)+\left(\frac{-3}{-10}\right)\\= \frac{-11}{6}+\frac{3}{10}\\=\frac{-55}{30}+\frac{9}{30}\\=\frac{-55+9}{30}\\=\frac{-46}{30}\\=\frac{-23}{15}\)
7. \(+\left(\frac{-14}{3}\right)-\left(\frac{-11}{6}\right)\\= \frac{-14}{3}+\frac{11}{6}\\=\frac{-28}{6}+\frac{11}{6}\\=\frac{-28+11}{6}\\=\frac{-17}{6}\)
8. \(+\left(\frac{-8}{5}\right)+\left(\frac{-4}{7}\right)\\= \frac{-8}{5}-\frac{4}{7}\\=\frac{-56}{35}-\frac{20}{35}\\=\frac{-56-20}{35}\\=\frac{-76}{35}\)
9. \(-\left(\frac{-13}{-2}\right)+\left(\frac{5}{9}\right)\\= \frac{-13}{2}+\frac{5}{9}\\=\frac{-117}{18}+\frac{10}{18}\\=\frac{-117+10}{18}\\=\frac{-107}{18}\)
10. \(-\left(\frac{3}{-13}\right)+\left(\frac{-11}{4}\right)\\= \frac{3}{13}-\frac{11}{4}\\=\frac{12}{52}-\frac{143}{52}\\=\frac{12-143}{52}\\=\frac{-131}{52}\)
11. \(+\left(\frac{13}{-6}\right)+\left(\frac{13}{14}\right)\\= \frac{-13}{6}+\frac{13}{14}\\=\frac{-91}{42}+\frac{39}{42}\\=\frac{-91+39}{42}\\=\frac{-52}{42}\\=\frac{-26}{21}\)
12. \(-\left(\frac{5}{11}\right)-\left(\frac{-15}{7}\right)\\= \frac{-5}{11}+\frac{15}{7}\\=\frac{-35}{77}+\frac{165}{77}\\=\frac{-35+165}{77}\\=\frac{130}{77}\)