Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{6}{-7}\right)-\left(\frac{8}{-13}\right)\\= \frac{6}{7}+\frac{8}{13}\\=\frac{78}{91}+\frac{56}{91}\\=\frac{78+56}{91}\\=\frac{134}{91}\)
2. \(-\left(\frac{-10}{7}\right)+\left(\frac{4}{-3}\right)\\= \frac{10}{7}-\frac{4}{3}\\=\frac{30}{21}-\frac{28}{21}\\=\frac{30-28}{21}\\=\frac{2}{21}\)
3. \(-\left(\frac{15}{7}\right)-\left(\frac{14}{3}\right)\\= \frac{-15}{7}-\frac{14}{3}\\=\frac{-45}{21}-\frac{98}{21}\\=\frac{-45-98}{21}\\=\frac{-143}{21}\)
4. \(+\left(\frac{-5}{2}\right)+\left(\frac{-14}{3}\right)\\= \frac{-5}{2}-\frac{14}{3}\\=\frac{-15}{6}-\frac{28}{6}\\=\frac{-15-28}{6}\\=\frac{-43}{6}\)
5. \(-\left(\frac{-5}{4}\right)-\left(\frac{-6}{-5}\right)\\= \frac{5}{4}-\frac{6}{5}\\=\frac{25}{20}-\frac{24}{20}\\=\frac{25-24}{20}\\=\frac{1}{20}\)
6. \(+\left(\frac{4}{3}\right)+\left(\frac{-6}{7}\right)\\= \frac{4}{3}-\frac{6}{7}\\=\frac{28}{21}-\frac{18}{21}\\=\frac{28-18}{21}\\=\frac{10}{21}\)
7. \(+\left(\frac{12}{11}\right)-\left(\frac{-9}{-2}\right)\\= \frac{12}{11}-\frac{9}{2}\\=\frac{24}{22}-\frac{99}{22}\\=\frac{24-99}{22}\\=\frac{-75}{22}\)
8. \(-\left(\frac{13}{-12}\right)-\left(\frac{-5}{-8}\right)\\= \frac{13}{12}-\frac{5}{8}\\=\frac{26}{24}-\frac{15}{24}\\=\frac{26-15}{24}\\=\frac{11}{24}\)
9. \(+\left(\frac{-4}{13}\right)+\left(\frac{-8}{7}\right)\\= \frac{-4}{13}-\frac{8}{7}\\=\frac{-28}{91}-\frac{104}{91}\\=\frac{-28-104}{91}\\=\frac{-132}{91}\)
10. \(-\left(\frac{12}{7}\right)-\left(\frac{13}{-9}\right)\\= \frac{-12}{7}+\frac{13}{9}\\=\frac{-108}{63}+\frac{91}{63}\\=\frac{-108+91}{63}\\=\frac{-17}{63}\)
11. \(-\left(\frac{6}{-5}\right)-\left(\frac{-12}{11}\right)\\= \frac{6}{5}+\frac{12}{11}\\=\frac{66}{55}+\frac{60}{55}\\=\frac{66+60}{55}\\=\frac{126}{55}\)
12. \(-\left(\frac{-2}{-3}\right)+\left(\frac{-2}{-5}\right)\\= \frac{-2}{3}+\frac{2}{5}\\=\frac{-10}{15}+\frac{6}{15}\\=\frac{-10+6}{15}\\=\frac{-4}{15}\)