Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{9}\right)+\left(\frac{-12}{7}\right)\\= \frac{-2}{9}-\frac{12}{7}\\=\frac{-14}{63}-\frac{108}{63}\\=\frac{-14-108}{63}\\=\frac{-122}{63}\)
2. \(+\left(\frac{-9}{4}\right)+\left(\frac{-12}{-11}\right)\\= \frac{-9}{4}+\frac{12}{11}\\=\frac{-99}{44}+\frac{48}{44}\\=\frac{-99+48}{44}\\=\frac{-51}{44}\)
3. \(-\left(\frac{-15}{11}\right)+\left(\frac{13}{-12}\right)\\= \frac{15}{11}-\frac{13}{12}\\=\frac{180}{132}-\frac{143}{132}\\=\frac{180-143}{132}\\=\frac{37}{132}\)
4. \(+\left(\frac{-12}{7}\right)-\left(\frac{6}{-11}\right)\\= \frac{-12}{7}+\frac{6}{11}\\=\frac{-132}{77}+\frac{42}{77}\\=\frac{-132+42}{77}\\=\frac{-90}{77}\)
5. \(-\left(\frac{7}{-10}\right)+\left(\frac{3}{-4}\right)\\= \frac{7}{10}-\frac{3}{4}\\=\frac{14}{20}-\frac{15}{20}\\=\frac{14-15}{20}\\=\frac{-1}{20}\)
6. \(-\left(\frac{8}{-3}\right)-\left(\frac{14}{9}\right)\\= \frac{8}{3}-\frac{14}{9}\\=\frac{24}{9}-\frac{14}{9}\\=\frac{24-14}{9}\\=\frac{10}{9}\)
7. \(-\left(\frac{6}{-7}\right)+\left(\frac{-13}{7}\right)\\= \frac{6}{7}-\frac{13}{7}\\=\frac{6-13}{7}\\=\frac{-7}{7}\\=\frac{-1}{1}\)
8. \(+\left(\frac{14}{-5}\right)+\left(\frac{12}{-5}\right)\\= \frac{-14}{5}-\frac{12}{5}\\=\frac{-14-12}{5}\\=\frac{-26}{5}\)
9. \(+\left(\frac{-12}{13}\right)-\left(\frac{12}{-11}\right)\\= \frac{-12}{13}+\frac{12}{11}\\=\frac{-132}{143}+\frac{156}{143}\\=\frac{-132+156}{143}\\=\frac{24}{143}\)
10. \(-\left(\frac{15}{7}\right)-\left(\frac{-11}{-10}\right)\\= \frac{-15}{7}-\frac{11}{10}\\=\frac{-150}{70}-\frac{77}{70}\\=\frac{-150-77}{70}\\=\frac{-227}{70}\)
11. \(-\left(\frac{-13}{5}\right)-\left(\frac{-4}{3}\right)\\= \frac{13}{5}+\frac{4}{3}\\=\frac{39}{15}+\frac{20}{15}\\=\frac{39+20}{15}\\=\frac{59}{15}\)
12. \(+\left(\frac{-10}{-3}\right)+\left(\frac{-5}{-9}\right)\\= \frac{10}{3}+\frac{5}{9}\\=\frac{30}{9}+\frac{5}{9}\\=\frac{30+5}{9}\\=\frac{35}{9}\)