Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{2}{-7}\right)+\left(\frac{-11}{-6}\right)\\= \frac{2}{7}+\frac{11}{6}\\=\frac{12}{42}+\frac{77}{42}\\=\frac{12+77}{42}\\=\frac{89}{42}\)
2. \(-\left(\frac{14}{-3}\right)-\left(\frac{10}{-3}\right)\\= \frac{14}{3}+\frac{10}{3}\\=\frac{14+10}{3}\\=\frac{24}{3}\\=\frac{8}{1}\)
3. \(-\left(\frac{8}{-3}\right)+\left(\frac{14}{-9}\right)\\= \frac{8}{3}-\frac{14}{9}\\=\frac{24}{9}-\frac{14}{9}\\=\frac{24-14}{9}\\=\frac{10}{9}\)
4. \(-\left(\frac{-13}{3}\right)-\left(\frac{-3}{-2}\right)\\= \frac{13}{3}-\frac{3}{2}\\=\frac{26}{6}-\frac{9}{6}\\=\frac{26-9}{6}\\=\frac{17}{6}\)
5. \(-\left(\frac{11}{9}\right)+\left(\frac{9}{-8}\right)\\= \frac{-11}{9}-\frac{9}{8}\\=\frac{-88}{72}-\frac{81}{72}\\=\frac{-88-81}{72}\\=\frac{-169}{72}\)
6. \(+\left(\frac{-5}{8}\right)-\left(\frac{-4}{-3}\right)\\= \frac{-5}{8}-\frac{4}{3}\\=\frac{-15}{24}-\frac{32}{24}\\=\frac{-15-32}{24}\\=\frac{-47}{24}\)
7. \(+\left(\frac{-11}{4}\right)+\left(\frac{-9}{-4}\right)\\= \frac{-11}{4}+\frac{9}{4}\\=\frac{-11+9}{4}\\=\frac{-2}{4}\\=\frac{-1}{2}\)
8. \(+\left(\frac{-7}{-2}\right)+\left(\frac{15}{11}\right)\\= \frac{7}{2}+\frac{15}{11}\\=\frac{77}{22}+\frac{30}{22}\\=\frac{77+30}{22}\\=\frac{107}{22}\)
9. \(-\left(\frac{-11}{-14}\right)+\left(\frac{-5}{-6}\right)\\= \frac{-11}{14}+\frac{5}{6}\\=\frac{-33}{42}+\frac{35}{42}\\=\frac{-33+35}{42}\\=\frac{2}{42}\\=\frac{1}{21}\)
10. \(-\left(\frac{-15}{7}\right)+\left(\frac{4}{3}\right)\\= \frac{15}{7}+\frac{4}{3}\\=\frac{45}{21}+\frac{28}{21}\\=\frac{45+28}{21}\\=\frac{73}{21}\)
11. \(-\left(\frac{5}{-4}\right)-\left(\frac{11}{12}\right)\\= \frac{5}{4}-\frac{11}{12}\\=\frac{15}{12}-\frac{11}{12}\\=\frac{15-11}{12}\\=\frac{4}{12}\\=\frac{1}{3}\)
12. \(-\left(\frac{-13}{-12}\right)+\left(\frac{15}{-11}\right)\\= \frac{-13}{12}-\frac{15}{11}\\=\frac{-143}{132}-\frac{180}{132}\\=\frac{-143-180}{132}\\=\frac{-323}{132}\)