Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{2}{3}\right)+\left(\frac{2}{7}\right)\\= \frac{-2}{3}+\frac{2}{7}\\=\frac{-14}{21}+\frac{6}{21}\\=\frac{-14+6}{21}\\=\frac{-8}{21}\)
2. \(+\left(\frac{-8}{13}\right)+\left(\frac{15}{-4}\right)\\= \frac{-8}{13}-\frac{15}{4}\\=\frac{-32}{52}-\frac{195}{52}\\=\frac{-32-195}{52}\\=\frac{-227}{52}\)
3. \(-\left(\frac{12}{-7}\right)+\left(\frac{14}{11}\right)\\= \frac{12}{7}+\frac{14}{11}\\=\frac{132}{77}+\frac{98}{77}\\=\frac{132+98}{77}\\=\frac{230}{77}\)
4. \(+\left(\frac{8}{13}\right)-\left(\frac{4}{3}\right)\\= \frac{8}{13}-\frac{4}{3}\\=\frac{24}{39}-\frac{52}{39}\\=\frac{24-52}{39}\\=\frac{-28}{39}\)
5. \(+\left(\frac{8}{11}\right)+\left(\frac{-14}{11}\right)\\= \frac{8}{11}-\frac{14}{11}\\=\frac{8-14}{11}\\=\frac{-6}{11}\)
6. \(+\left(\frac{13}{-2}\right)+\left(\frac{-8}{-11}\right)\\= \frac{-13}{2}+\frac{8}{11}\\=\frac{-143}{22}+\frac{16}{22}\\=\frac{-143+16}{22}\\=\frac{-127}{22}\)
7. \(-\left(\frac{-15}{-11}\right)-\left(\frac{-5}{8}\right)\\= \frac{-15}{11}+\frac{5}{8}\\=\frac{-120}{88}+\frac{55}{88}\\=\frac{-120+55}{88}\\=\frac{-65}{88}\)
8. \(+\left(\frac{14}{11}\right)-\left(\frac{-9}{10}\right)\\= \frac{14}{11}+\frac{9}{10}\\=\frac{140}{110}+\frac{99}{110}\\=\frac{140+99}{110}\\=\frac{239}{110}\)
9. \(+\left(\frac{-11}{-12}\right)-\left(\frac{-13}{8}\right)\\= \frac{11}{12}+\frac{13}{8}\\=\frac{22}{24}+\frac{39}{24}\\=\frac{22+39}{24}\\=\frac{61}{24}\)
10. \(-\left(\frac{-10}{3}\right)+\left(\frac{-15}{13}\right)\\= \frac{10}{3}-\frac{15}{13}\\=\frac{130}{39}-\frac{45}{39}\\=\frac{130-45}{39}\\=\frac{85}{39}\)
11. \(-\left(\frac{-8}{-13}\right)-\left(\frac{10}{-7}\right)\\= \frac{-8}{13}+\frac{10}{7}\\=\frac{-56}{91}+\frac{130}{91}\\=\frac{-56+130}{91}\\=\frac{74}{91}\)
12. \(+\left(\frac{-10}{11}\right)-\left(\frac{-8}{5}\right)\\= \frac{-10}{11}+\frac{8}{5}\\=\frac{-50}{55}+\frac{88}{55}\\=\frac{-50+88}{55}\\=\frac{38}{55}\)