Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{6}{5}\right)-\left(\frac{-13}{-2}\right)\\= \frac{-6}{5}-\frac{13}{2}\\=\frac{-12}{10}-\frac{65}{10}\\=\frac{-12-65}{10}\\=\frac{-77}{10}\)
2. \(+\left(\frac{4}{-11}\right)-\left(\frac{-11}{5}\right)\\= \frac{-4}{11}+\frac{11}{5}\\=\frac{-20}{55}+\frac{121}{55}\\=\frac{-20+121}{55}\\=\frac{101}{55}\)
3. \(-\left(\frac{-10}{7}\right)-\left(\frac{11}{5}\right)\\= \frac{10}{7}-\frac{11}{5}\\=\frac{50}{35}-\frac{77}{35}\\=\frac{50-77}{35}\\=\frac{-27}{35}\)
4. \(+\left(\frac{-8}{3}\right)+\left(\frac{5}{-12}\right)\\= \frac{-8}{3}-\frac{5}{12}\\=\frac{-32}{12}-\frac{5}{12}\\=\frac{-32-5}{12}\\=\frac{-37}{12}\)
5. \(-\left(\frac{6}{-5}\right)+\left(\frac{6}{-5}\right)\\= \frac{6}{5}-\frac{6}{5}\\=\frac{6-6}{5}\\=\frac{0}{5}\\=\frac{0}{1}\)
6. \(+\left(\frac{8}{-7}\right)-\left(\frac{10}{-13}\right)\\= \frac{-8}{7}+\frac{10}{13}\\=\frac{-104}{91}+\frac{70}{91}\\=\frac{-104+70}{91}\\=\frac{-34}{91}\)
7. \(-\left(\frac{-12}{-11}\right)+\left(\frac{6}{-5}\right)\\= \frac{-12}{11}-\frac{6}{5}\\=\frac{-60}{55}-\frac{66}{55}\\=\frac{-60-66}{55}\\=\frac{-126}{55}\)
8. \(-\left(\frac{2}{-3}\right)-\left(\frac{10}{-11}\right)\\= \frac{2}{3}+\frac{10}{11}\\=\frac{22}{33}+\frac{30}{33}\\=\frac{22+30}{33}\\=\frac{52}{33}\)
9. \(-\left(\frac{6}{11}\right)-\left(\frac{7}{-9}\right)\\= \frac{-6}{11}+\frac{7}{9}\\=\frac{-54}{99}+\frac{77}{99}\\=\frac{-54+77}{99}\\=\frac{23}{99}\)
10. \(-\left(\frac{9}{-14}\right)+\left(\frac{-11}{12}\right)\\= \frac{9}{14}-\frac{11}{12}\\=\frac{54}{84}-\frac{77}{84}\\=\frac{54-77}{84}\\=\frac{-23}{84}\)
11. \(+\left(\frac{-12}{-13}\right)-\left(\frac{4}{-9}\right)\\= \frac{12}{13}+\frac{4}{9}\\=\frac{108}{117}+\frac{52}{117}\\=\frac{108+52}{117}\\=\frac{160}{117}\)
12. \(-\left(\frac{-8}{5}\right)+\left(\frac{11}{12}\right)\\= \frac{8}{5}+\frac{11}{12}\\=\frac{96}{60}+\frac{55}{60}\\=\frac{96+55}{60}\\=\frac{151}{60}\)