Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-14}{11}\right)-\left(\frac{4}{-5}\right)\\= \frac{-14}{11}+\frac{4}{5}\\=\frac{-70}{55}+\frac{44}{55}\\=\frac{-70+44}{55}\\=\frac{-26}{55}\)
2. \(+\left(\frac{-9}{-7}\right)+\left(\frac{8}{3}\right)\\= \frac{9}{7}+\frac{8}{3}\\=\frac{27}{21}+\frac{56}{21}\\=\frac{27+56}{21}\\=\frac{83}{21}\)
3. \(-\left(\frac{13}{2}\right)+\left(\frac{2}{5}\right)\\= \frac{-13}{2}+\frac{2}{5}\\=\frac{-65}{10}+\frac{4}{10}\\=\frac{-65+4}{10}\\=\frac{-61}{10}\)
4. \(-\left(\frac{5}{-3}\right)-\left(\frac{13}{-5}\right)\\= \frac{5}{3}+\frac{13}{5}\\=\frac{25}{15}+\frac{39}{15}\\=\frac{25+39}{15}\\=\frac{64}{15}\)
5. \(+\left(\frac{2}{-7}\right)+\left(\frac{-7}{-2}\right)\\= \frac{-2}{7}+\frac{7}{2}\\=\frac{-4}{14}+\frac{49}{14}\\=\frac{-4+49}{14}\\=\frac{45}{14}\)
6. \(-\left(\frac{-8}{-3}\right)+\left(\frac{12}{-11}\right)\\= \frac{-8}{3}-\frac{12}{11}\\=\frac{-88}{33}-\frac{36}{33}\\=\frac{-88-36}{33}\\=\frac{-124}{33}\)
7. \(-\left(\frac{-12}{11}\right)+\left(\frac{2}{-3}\right)\\= \frac{12}{11}-\frac{2}{3}\\=\frac{36}{33}-\frac{22}{33}\\=\frac{36-22}{33}\\=\frac{14}{33}\)
8. \(-\left(\frac{9}{-14}\right)+\left(\frac{14}{3}\right)\\= \frac{9}{14}+\frac{14}{3}\\=\frac{27}{42}+\frac{196}{42}\\=\frac{27+196}{42}\\=\frac{223}{42}\)
9. \(+\left(\frac{-14}{5}\right)-\left(\frac{-3}{-10}\right)\\= \frac{-14}{5}-\frac{3}{10}\\=\frac{-28}{10}-\frac{3}{10}\\=\frac{-28-3}{10}\\=\frac{-31}{10}\)
10. \(+\left(\frac{2}{7}\right)+\left(\frac{15}{11}\right)\\= \frac{2}{7}+\frac{15}{11}\\=\frac{22}{77}+\frac{105}{77}\\=\frac{22+105}{77}\\=\frac{127}{77}\)
11. \(-\left(\frac{-8}{-9}\right)+\left(\frac{-14}{9}\right)\\= \frac{-8}{9}-\frac{14}{9}\\=\frac{-8-14}{9}\\=\frac{-22}{9}\)
12. \(+\left(\frac{-4}{-3}\right)-\left(\frac{-6}{-7}\right)\\= \frac{4}{3}-\frac{6}{7}\\=\frac{28}{21}-\frac{18}{21}\\=\frac{28-18}{21}\\=\frac{10}{21}\)