Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{6}{-5}\right)+\left(\frac{-6}{7}\right)\\= \frac{-6}{5}-\frac{6}{7}\\=\frac{-42}{35}-\frac{30}{35}\\=\frac{-42-30}{35}\\=\frac{-72}{35}\)
2. \(+\left(\frac{-8}{3}\right)-\left(\frac{-6}{5}\right)\\= \frac{-8}{3}+\frac{6}{5}\\=\frac{-40}{15}+\frac{18}{15}\\=\frac{-40+18}{15}\\=\frac{-22}{15}\)
3. \(+\left(\frac{8}{-3}\right)-\left(\frac{15}{-4}\right)\\= \frac{-8}{3}+\frac{15}{4}\\=\frac{-32}{12}+\frac{45}{12}\\=\frac{-32+45}{12}\\=\frac{13}{12}\)
4. \(-\left(\frac{-5}{6}\right)+\left(\frac{7}{-5}\right)\\= \frac{5}{6}-\frac{7}{5}\\=\frac{25}{30}-\frac{42}{30}\\=\frac{25-42}{30}\\=\frac{-17}{30}\)
5. \(-\left(\frac{-14}{-11}\right)-\left(\frac{-12}{5}\right)\\= \frac{-14}{11}+\frac{12}{5}\\=\frac{-70}{55}+\frac{132}{55}\\=\frac{-70+132}{55}\\=\frac{62}{55}\)
6. \(-\left(\frac{13}{2}\right)-\left(\frac{-9}{-14}\right)\\= \frac{-13}{2}-\frac{9}{14}\\=\frac{-91}{14}-\frac{9}{14}\\=\frac{-91-9}{14}\\=\frac{-100}{14}\\=\frac{-50}{7}\)
7. \(-\left(\frac{-7}{-8}\right)-\left(\frac{-5}{-11}\right)\\= \frac{-7}{8}-\frac{5}{11}\\=\frac{-77}{88}-\frac{40}{88}\\=\frac{-77-40}{88}\\=\frac{-117}{88}\)
8. \(-\left(\frac{14}{-9}\right)-\left(\frac{7}{-8}\right)\\= \frac{14}{9}+\frac{7}{8}\\=\frac{112}{72}+\frac{63}{72}\\=\frac{112+63}{72}\\=\frac{175}{72}\)
9. \(-\left(\frac{-9}{7}\right)+\left(\frac{-10}{-9}\right)\\= \frac{9}{7}+\frac{10}{9}\\=\frac{81}{63}+\frac{70}{63}\\=\frac{81+70}{63}\\=\frac{151}{63}\)
10. \(+\left(\frac{-12}{11}\right)-\left(\frac{6}{13}\right)\\= \frac{-12}{11}-\frac{6}{13}\\=\frac{-156}{143}-\frac{66}{143}\\=\frac{-156-66}{143}\\=\frac{-222}{143}\)
11. \(-\left(\frac{-12}{5}\right)+\left(\frac{-5}{12}\right)\\= \frac{12}{5}-\frac{5}{12}\\=\frac{144}{60}-\frac{25}{60}\\=\frac{144-25}{60}\\=\frac{119}{60}\)
12. \(+\left(\frac{2}{-9}\right)+\left(\frac{-12}{11}\right)\\= \frac{-2}{9}-\frac{12}{11}\\=\frac{-22}{99}-\frac{108}{99}\\=\frac{-22-108}{99}\\=\frac{-130}{99}\)