Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{6}{-11}\right)+\left(\frac{-12}{-11}\right)\\= \frac{-6}{11}+\frac{12}{11}\\=\frac{-6+12}{11}\\=\frac{6}{11}\)
2. \(+\left(\frac{-3}{-13}\right)-\left(\frac{3}{4}\right)\\= \frac{3}{13}-\frac{3}{4}\\=\frac{12}{52}-\frac{39}{52}\\=\frac{12-39}{52}\\=\frac{-27}{52}\)
3. \(+\left(\frac{15}{4}\right)-\left(\frac{-10}{7}\right)\\= \frac{15}{4}+\frac{10}{7}\\=\frac{105}{28}+\frac{40}{28}\\=\frac{105+40}{28}\\=\frac{145}{28}\)
4. \(-\left(\frac{-13}{-4}\right)-\left(\frac{-15}{7}\right)\\= \frac{-13}{4}+\frac{15}{7}\\=\frac{-91}{28}+\frac{60}{28}\\=\frac{-91+60}{28}\\=\frac{-31}{28}\)
5. \(-\left(\frac{-7}{3}\right)-\left(\frac{11}{6}\right)\\= \frac{7}{3}-\frac{11}{6}\\=\frac{14}{6}-\frac{11}{6}\\=\frac{14-11}{6}\\=\frac{3}{6}\\=\frac{1}{2}\)
6. \(+\left(\frac{9}{-2}\right)+\left(\frac{-8}{7}\right)\\= \frac{-9}{2}-\frac{8}{7}\\=\frac{-63}{14}-\frac{16}{14}\\=\frac{-63-16}{14}\\=\frac{-79}{14}\)
7. \(+\left(\frac{-9}{-7}\right)+\left(\frac{-2}{3}\right)\\= \frac{9}{7}-\frac{2}{3}\\=\frac{27}{21}-\frac{14}{21}\\=\frac{27-14}{21}\\=\frac{13}{21}\)
8. \(+\left(\frac{-5}{7}\right)-\left(\frac{7}{2}\right)\\= \frac{-5}{7}-\frac{7}{2}\\=\frac{-10}{14}-\frac{49}{14}\\=\frac{-10-49}{14}\\=\frac{-59}{14}\)
9. \(+\left(\frac{-4}{9}\right)+\left(\frac{-10}{7}\right)\\= \frac{-4}{9}-\frac{10}{7}\\=\frac{-28}{63}-\frac{90}{63}\\=\frac{-28-90}{63}\\=\frac{-118}{63}\)
10. \(+\left(\frac{10}{9}\right)+\left(\frac{-4}{-5}\right)\\= \frac{10}{9}+\frac{4}{5}\\=\frac{50}{45}+\frac{36}{45}\\=\frac{50+36}{45}\\=\frac{86}{45}\)
11. \(-\left(\frac{-13}{4}\right)-\left(\frac{-8}{11}\right)\\= \frac{13}{4}+\frac{8}{11}\\=\frac{143}{44}+\frac{32}{44}\\=\frac{143+32}{44}\\=\frac{175}{44}\)
12. \(+\left(\frac{14}{3}\right)-\left(\frac{3}{2}\right)\\= \frac{14}{3}-\frac{3}{2}\\=\frac{28}{6}-\frac{9}{6}\\=\frac{28-9}{6}\\=\frac{19}{6}\)