Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{11}{-3}\right)+\left(\frac{2}{-3}\right)\\= \frac{-11}{3}-\frac{2}{3}\\=\frac{-11-2}{3}\\=\frac{-13}{3}\)
2. \(-\left(\frac{-4}{3}\right)-\left(\frac{-15}{11}\right)\\= \frac{4}{3}+\frac{15}{11}\\=\frac{44}{33}+\frac{45}{33}\\=\frac{44+45}{33}\\=\frac{89}{33}\)
3. \(-\left(\frac{2}{7}\right)-\left(\frac{-7}{-11}\right)\\= \frac{-2}{7}-\frac{7}{11}\\=\frac{-22}{77}-\frac{49}{77}\\=\frac{-22-49}{77}\\=\frac{-71}{77}\)
4. \(-\left(\frac{4}{7}\right)-\left(\frac{3}{14}\right)\\= \frac{-4}{7}-\frac{3}{14}\\=\frac{-8}{14}-\frac{3}{14}\\=\frac{-8-3}{14}\\=\frac{-11}{14}\)
5. \(-\left(\frac{7}{4}\right)-\left(\frac{6}{-5}\right)\\= \frac{-7}{4}+\frac{6}{5}\\=\frac{-35}{20}+\frac{24}{20}\\=\frac{-35+24}{20}\\=\frac{-11}{20}\)
6. \(-\left(\frac{15}{-13}\right)-\left(\frac{9}{4}\right)\\= \frac{15}{13}-\frac{9}{4}\\=\frac{60}{52}-\frac{117}{52}\\=\frac{60-117}{52}\\=\frac{-57}{52}\)
7. \(+\left(\frac{-6}{-11}\right)-\left(\frac{3}{14}\right)\\= \frac{6}{11}-\frac{3}{14}\\=\frac{84}{154}-\frac{33}{154}\\=\frac{84-33}{154}\\=\frac{51}{154}\)
8. \(-\left(\frac{10}{-7}\right)-\left(\frac{5}{-4}\right)\\= \frac{10}{7}+\frac{5}{4}\\=\frac{40}{28}+\frac{35}{28}\\=\frac{40+35}{28}\\=\frac{75}{28}\)
9. \(-\left(\frac{-7}{8}\right)+\left(\frac{2}{9}\right)\\= \frac{7}{8}+\frac{2}{9}\\=\frac{63}{72}+\frac{16}{72}\\=\frac{63+16}{72}\\=\frac{79}{72}\)
10. \(+\left(\frac{-14}{-3}\right)+\left(\frac{12}{11}\right)\\= \frac{14}{3}+\frac{12}{11}\\=\frac{154}{33}+\frac{36}{33}\\=\frac{154+36}{33}\\=\frac{190}{33}\)
11. \(-\left(\frac{-4}{5}\right)-\left(\frac{15}{11}\right)\\= \frac{4}{5}-\frac{15}{11}\\=\frac{44}{55}-\frac{75}{55}\\=\frac{44-75}{55}\\=\frac{-31}{55}\)
12. \(-\left(\frac{2}{3}\right)+\left(\frac{-8}{-9}\right)\\= \frac{-2}{3}+\frac{8}{9}\\=\frac{-6}{9}+\frac{8}{9}\\=\frac{-6+8}{9}\\=\frac{2}{9}\)