Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-6}{-7}\right)+\left(\frac{-4}{5}\right)\\= \frac{-6}{7}-\frac{4}{5}\\=\frac{-30}{35}-\frac{28}{35}\\=\frac{-30-28}{35}\\=\frac{-58}{35}\)
2. \(+\left(\frac{4}{7}\right)-\left(\frac{-14}{9}\right)\\= \frac{4}{7}+\frac{14}{9}\\=\frac{36}{63}+\frac{98}{63}\\=\frac{36+98}{63}\\=\frac{134}{63}\)
3. \(-\left(\frac{11}{8}\right)+\left(\frac{-3}{-13}\right)\\= \frac{-11}{8}+\frac{3}{13}\\=\frac{-143}{104}+\frac{24}{104}\\=\frac{-143+24}{104}\\=\frac{-119}{104}\)
4. \(-\left(\frac{-4}{3}\right)+\left(\frac{14}{-9}\right)\\= \frac{4}{3}-\frac{14}{9}\\=\frac{12}{9}-\frac{14}{9}\\=\frac{12-14}{9}\\=\frac{-2}{9}\)
5. \(-\left(\frac{7}{-11}\right)+\left(\frac{-3}{5}\right)\\= \frac{7}{11}-\frac{3}{5}\\=\frac{35}{55}-\frac{33}{55}\\=\frac{35-33}{55}\\=\frac{2}{55}\)
6. \(+\left(\frac{15}{4}\right)-\left(\frac{5}{9}\right)\\= \frac{15}{4}-\frac{5}{9}\\=\frac{135}{36}-\frac{20}{36}\\=\frac{135-20}{36}\\=\frac{115}{36}\)
7. \(+\left(\frac{12}{5}\right)-\left(\frac{-10}{-13}\right)\\= \frac{12}{5}-\frac{10}{13}\\=\frac{156}{65}-\frac{50}{65}\\=\frac{156-50}{65}\\=\frac{106}{65}\)
8. \(+\left(\frac{3}{10}\right)+\left(\frac{5}{2}\right)\\= \frac{3}{10}+\frac{5}{2}\\=\frac{3+5}{10}\\=\frac{8}{10}\\=\frac{4}{5}\)
9. \(+\left(\frac{12}{-7}\right)-\left(\frac{3}{-13}\right)\\= \frac{-12}{7}+\frac{3}{13}\\=\frac{-156}{91}+\frac{21}{91}\\=\frac{-156+21}{91}\\=\frac{-135}{91}\)
10. \(-\left(\frac{-7}{-6}\right)+\left(\frac{-12}{-7}\right)\\= \frac{-7}{6}+\frac{12}{7}\\=\frac{-49}{42}+\frac{72}{42}\\=\frac{-49+72}{42}\\=\frac{23}{42}\)
11. \(+\left(\frac{4}{-3}\right)+\left(\frac{-15}{11}\right)\\= \frac{-4}{3}-\frac{15}{11}\\=\frac{-44}{33}-\frac{45}{33}\\=\frac{-44-45}{33}\\=\frac{-89}{33}\)
12. \(-\left(\frac{-5}{4}\right)+\left(\frac{-6}{-5}\right)\\= \frac{5}{4}+\frac{6}{5}\\=\frac{25}{20}+\frac{24}{20}\\=\frac{25+24}{20}\\=\frac{49}{20}\)