Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-14}{5}\right)+\left(\frac{15}{11}\right)\\= \frac{-14}{5}+\frac{15}{11}\\=\frac{-154}{55}+\frac{75}{55}\\=\frac{-154+75}{55}\\=\frac{-79}{55}\)
2. \(-\left(\frac{2}{13}\right)+\left(\frac{12}{-11}\right)\\= \frac{-2}{13}-\frac{12}{11}\\=\frac{-22}{143}-\frac{156}{143}\\=\frac{-22-156}{143}\\=\frac{-178}{143}\)
3. \(-\left(\frac{-10}{13}\right)+\left(\frac{-4}{-13}\right)\\= \frac{10}{13}+\frac{4}{13}\\=\frac{10+4}{13}\\=\frac{14}{13}\)
4. \(-\left(\frac{3}{-10}\right)-\left(\frac{4}{3}\right)\\= \frac{3}{10}-\frac{4}{3}\\=\frac{9}{30}-\frac{40}{30}\\=\frac{9-40}{30}\\=\frac{-31}{30}\)
5. \(+\left(\frac{6}{-7}\right)-\left(\frac{6}{-11}\right)\\= \frac{-6}{7}+\frac{6}{11}\\=\frac{-66}{77}+\frac{42}{77}\\=\frac{-66+42}{77}\\=\frac{-24}{77}\)
6. \(-\left(\frac{-9}{-11}\right)-\left(\frac{-2}{-5}\right)\\= \frac{-9}{11}-\frac{2}{5}\\=\frac{-45}{55}-\frac{22}{55}\\=\frac{-45-22}{55}\\=\frac{-67}{55}\)
7. \(-\left(\frac{8}{-11}\right)-\left(\frac{6}{5}\right)\\= \frac{8}{11}-\frac{6}{5}\\=\frac{40}{55}-\frac{66}{55}\\=\frac{40-66}{55}\\=\frac{-26}{55}\)
8. \(-\left(\frac{-10}{7}\right)+\left(\frac{11}{3}\right)\\= \frac{10}{7}+\frac{11}{3}\\=\frac{30}{21}+\frac{77}{21}\\=\frac{30+77}{21}\\=\frac{107}{21}\)
9. \(+\left(\frac{2}{3}\right)-\left(\frac{-15}{-11}\right)\\= \frac{2}{3}-\frac{15}{11}\\=\frac{22}{33}-\frac{45}{33}\\=\frac{22-45}{33}\\=\frac{-23}{33}\)
10. \(-\left(\frac{15}{7}\right)-\left(\frac{15}{11}\right)\\= \frac{-15}{7}-\frac{15}{11}\\=\frac{-165}{77}-\frac{105}{77}\\=\frac{-165-105}{77}\\=\frac{-270}{77}\)
11. \(+\left(\frac{12}{-5}\right)+\left(\frac{-14}{-11}\right)\\= \frac{-12}{5}+\frac{14}{11}\\=\frac{-132}{55}+\frac{70}{55}\\=\frac{-132+70}{55}\\=\frac{-62}{55}\)
12. \(-\left(\frac{4}{-3}\right)-\left(\frac{9}{-7}\right)\\= \frac{4}{3}+\frac{9}{7}\\=\frac{28}{21}+\frac{27}{21}\\=\frac{28+27}{21}\\=\frac{55}{21}\)