Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{5}{13}\right)-\left(\frac{2}{7}\right)\\= \frac{-5}{13}-\frac{2}{7}\\=\frac{-35}{91}-\frac{26}{91}\\=\frac{-35-26}{91}\\=\frac{-61}{91}\)
2. \(+\left(\frac{-4}{-11}\right)-\left(\frac{6}{-11}\right)\\= \frac{4}{11}+\frac{6}{11}\\=\frac{4+6}{11}\\=\frac{10}{11}\)
3. \(+\left(\frac{-2}{-3}\right)-\left(\frac{-10}{-13}\right)\\= \frac{2}{3}-\frac{10}{13}\\=\frac{26}{39}-\frac{30}{39}\\=\frac{26-30}{39}\\=\frac{-4}{39}\)
4. \(-\left(\frac{-11}{5}\right)-\left(\frac{12}{-11}\right)\\= \frac{11}{5}+\frac{12}{11}\\=\frac{121}{55}+\frac{60}{55}\\=\frac{121+60}{55}\\=\frac{181}{55}\)
5. \(-\left(\frac{-15}{-7}\right)+\left(\frac{11}{2}\right)\\= \frac{-15}{7}+\frac{11}{2}\\=\frac{-30}{14}+\frac{77}{14}\\=\frac{-30+77}{14}\\=\frac{47}{14}\)
6. \(+\left(\frac{-7}{-13}\right)-\left(\frac{6}{5}\right)\\= \frac{7}{13}-\frac{6}{5}\\=\frac{35}{65}-\frac{78}{65}\\=\frac{35-78}{65}\\=\frac{-43}{65}\)
7. \(+\left(\frac{-15}{-7}\right)-\left(\frac{14}{-13}\right)\\= \frac{15}{7}+\frac{14}{13}\\=\frac{195}{91}+\frac{98}{91}\\=\frac{195+98}{91}\\=\frac{293}{91}\)
8. \(+\left(\frac{3}{2}\right)-\left(\frac{-13}{-14}\right)\\= \frac{3}{2}-\frac{13}{14}\\=\frac{21}{14}-\frac{13}{14}\\=\frac{21-13}{14}\\=\frac{8}{14}\\=\frac{4}{7}\)
9. \(+\left(\frac{4}{11}\right)-\left(\frac{5}{-2}\right)\\= \frac{4}{11}+\frac{5}{2}\\=\frac{8}{22}+\frac{55}{22}\\=\frac{8+55}{22}\\=\frac{63}{22}\)
10. \(-\left(\frac{-9}{4}\right)-\left(\frac{-2}{-11}\right)\\= \frac{9}{4}-\frac{2}{11}\\=\frac{99}{44}-\frac{8}{44}\\=\frac{99-8}{44}\\=\frac{91}{44}\)
11. \(-\left(\frac{15}{7}\right)+\left(\frac{14}{-11}\right)\\= \frac{-15}{7}-\frac{14}{11}\\=\frac{-165}{77}-\frac{98}{77}\\=\frac{-165-98}{77}\\=\frac{-263}{77}\)
12. \(-\left(\frac{-10}{-13}\right)+\left(\frac{-4}{5}\right)\\= \frac{-10}{13}-\frac{4}{5}\\=\frac{-50}{65}-\frac{52}{65}\\=\frac{-50-52}{65}\\=\frac{-102}{65}\)