Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-11}{-2}\right)-\left(\frac{-5}{-12}\right)\\= \frac{-11}{2}-\frac{5}{12}\\=\frac{-66}{12}-\frac{5}{12}\\=\frac{-66-5}{12}\\=\frac{-71}{12}\)
2. \(+\left(\frac{-2}{-3}\right)+\left(\frac{15}{-14}\right)\\= \frac{2}{3}-\frac{15}{14}\\=\frac{28}{42}-\frac{45}{42}\\=\frac{28-45}{42}\\=\frac{-17}{42}\)
3. \(+\left(\frac{-6}{11}\right)+\left(\frac{4}{7}\right)\\= \frac{-6}{11}+\frac{4}{7}\\=\frac{-42}{77}+\frac{44}{77}\\=\frac{-42+44}{77}\\=\frac{2}{77}\)
4. \(-\left(\frac{-9}{-7}\right)-\left(\frac{-12}{-5}\right)\\= \frac{-9}{7}-\frac{12}{5}\\=\frac{-45}{35}-\frac{84}{35}\\=\frac{-45-84}{35}\\=\frac{-129}{35}\)
5. \(-\left(\frac{-9}{4}\right)+\left(\frac{-11}{8}\right)\\= \frac{9}{4}-\frac{11}{8}\\=\frac{18}{8}-\frac{11}{8}\\=\frac{18-11}{8}\\=\frac{7}{8}\)
6. \(+\left(\frac{-15}{-13}\right)+\left(\frac{14}{-9}\right)\\= \frac{15}{13}-\frac{14}{9}\\=\frac{135}{117}-\frac{182}{117}\\=\frac{135-182}{117}\\=\frac{-47}{117}\)
7. \(-\left(\frac{9}{-10}\right)+\left(\frac{11}{14}\right)\\= \frac{9}{10}+\frac{11}{14}\\=\frac{63}{70}+\frac{55}{70}\\=\frac{63+55}{70}\\=\frac{118}{70}\\=\frac{59}{35}\)
8. \(-\left(\frac{9}{10}\right)+\left(\frac{11}{-9}\right)\\= \frac{-9}{10}-\frac{11}{9}\\=\frac{-81}{90}-\frac{110}{90}\\=\frac{-81-110}{90}\\=\frac{-191}{90}\)
9. \(+\left(\frac{15}{-13}\right)+\left(\frac{7}{-8}\right)\\= \frac{-15}{13}-\frac{7}{8}\\=\frac{-120}{104}-\frac{91}{104}\\=\frac{-120-91}{104}\\=\frac{-211}{104}\)
10. \(-\left(\frac{-10}{-3}\right)+\left(\frac{-3}{13}\right)\\= \frac{-10}{3}-\frac{3}{13}\\=\frac{-130}{39}-\frac{9}{39}\\=\frac{-130-9}{39}\\=\frac{-139}{39}\)
11. \(-\left(\frac{4}{3}\right)+\left(\frac{-4}{-11}\right)\\= \frac{-4}{3}+\frac{4}{11}\\=\frac{-44}{33}+\frac{12}{33}\\=\frac{-44+12}{33}\\=\frac{-32}{33}\)
12. \(-\left(\frac{12}{7}\right)+\left(\frac{-14}{3}\right)\\= \frac{-12}{7}-\frac{14}{3}\\=\frac{-36}{21}-\frac{98}{21}\\=\frac{-36-98}{21}\\=\frac{-134}{21}\)