Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{7}\right)-\left(\frac{-13}{-11}\right)\\= \frac{12}{7}-\frac{13}{11}\\=\frac{132}{77}-\frac{91}{77}\\=\frac{132-91}{77}\\=\frac{41}{77}\)
2. \(-\left(\frac{-7}{12}\right)+\left(\frac{2}{3}\right)\\= \frac{7}{12}+\frac{2}{3}\\=\frac{7+2}{12}\\=\frac{9}{12}\\=\frac{3}{4}\)
3. \(+\left(\frac{-15}{-13}\right)-\left(\frac{-14}{5}\right)\\= \frac{15}{13}+\frac{14}{5}\\=\frac{75}{65}+\frac{182}{65}\\=\frac{75+182}{65}\\=\frac{257}{65}\)
4. \(+\left(\frac{-4}{-11}\right)-\left(\frac{12}{5}\right)\\= \frac{4}{11}-\frac{12}{5}\\=\frac{20}{55}-\frac{132}{55}\\=\frac{20-132}{55}\\=\frac{-112}{55}\)
5. \(+\left(\frac{14}{13}\right)+\left(\frac{7}{13}\right)\\= \frac{14}{13}+\frac{7}{13}\\=\frac{14+7}{13}\\=\frac{21}{13}\)
6. \(-\left(\frac{8}{3}\right)-\left(\frac{-12}{11}\right)\\= \frac{-8}{3}+\frac{12}{11}\\=\frac{-88}{33}+\frac{36}{33}\\=\frac{-88+36}{33}\\=\frac{-52}{33}\)
7. \(-\left(\frac{15}{7}\right)-\left(\frac{-7}{5}\right)\\= \frac{-15}{7}+\frac{7}{5}\\=\frac{-75}{35}+\frac{49}{35}\\=\frac{-75+49}{35}\\=\frac{-26}{35}\)
8. \(+\left(\frac{8}{7}\right)+\left(\frac{-15}{2}\right)\\= \frac{8}{7}-\frac{15}{2}\\=\frac{16}{14}-\frac{105}{14}\\=\frac{16-105}{14}\\=\frac{-89}{14}\)
9. \(+\left(\frac{-13}{11}\right)-\left(\frac{11}{-3}\right)\\= \frac{-13}{11}+\frac{11}{3}\\=\frac{-39}{33}+\frac{121}{33}\\=\frac{-39+121}{33}\\=\frac{82}{33}\)
10. \(-\left(\frac{14}{11}\right)-\left(\frac{9}{-2}\right)\\= \frac{-14}{11}+\frac{9}{2}\\=\frac{-28}{22}+\frac{99}{22}\\=\frac{-28+99}{22}\\=\frac{71}{22}\)
11. \(-\left(\frac{3}{13}\right)-\left(\frac{-12}{-11}\right)\\= \frac{-3}{13}-\frac{12}{11}\\=\frac{-33}{143}-\frac{156}{143}\\=\frac{-33-156}{143}\\=\frac{-189}{143}\)
12. \(-\left(\frac{-3}{4}\right)-\left(\frac{-4}{11}\right)\\= \frac{3}{4}+\frac{4}{11}\\=\frac{33}{44}+\frac{16}{44}\\=\frac{33+16}{44}\\=\frac{49}{44}\)