Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{4}{11}\right)+\left(\frac{9}{5}\right)\\= \frac{-4}{11}+\frac{9}{5}\\=\frac{-20}{55}+\frac{99}{55}\\=\frac{-20+99}{55}\\=\frac{79}{55}\)
2. \(-\left(\frac{-5}{-11}\right)-\left(\frac{2}{-3}\right)\\= \frac{-5}{11}+\frac{2}{3}\\=\frac{-15}{33}+\frac{22}{33}\\=\frac{-15+22}{33}\\=\frac{7}{33}\)
3. \(-\left(\frac{6}{-11}\right)+\left(\frac{13}{3}\right)\\= \frac{6}{11}+\frac{13}{3}\\=\frac{18}{33}+\frac{143}{33}\\=\frac{18+143}{33}\\=\frac{161}{33}\)
4. \(-\left(\frac{10}{-13}\right)+\left(\frac{10}{7}\right)\\= \frac{10}{13}+\frac{10}{7}\\=\frac{70}{91}+\frac{130}{91}\\=\frac{70+130}{91}\\=\frac{200}{91}\)
5. \(-\left(\frac{9}{13}\right)-\left(\frac{3}{2}\right)\\= \frac{-9}{13}-\frac{3}{2}\\=\frac{-18}{26}-\frac{39}{26}\\=\frac{-18-39}{26}\\=\frac{-57}{26}\)
6. \(-\left(\frac{5}{11}\right)-\left(\frac{4}{-3}\right)\\= \frac{-5}{11}+\frac{4}{3}\\=\frac{-15}{33}+\frac{44}{33}\\=\frac{-15+44}{33}\\=\frac{29}{33}\)
7. \(-\left(\frac{8}{13}\right)+\left(\frac{-14}{-11}\right)\\= \frac{-8}{13}+\frac{14}{11}\\=\frac{-88}{143}+\frac{182}{143}\\=\frac{-88+182}{143}\\=\frac{94}{143}\)
8. \(+\left(\frac{8}{-9}\right)+\left(\frac{-6}{-11}\right)\\= \frac{-8}{9}+\frac{6}{11}\\=\frac{-88}{99}+\frac{54}{99}\\=\frac{-88+54}{99}\\=\frac{-34}{99}\)
9. \(+\left(\frac{4}{11}\right)+\left(\frac{15}{13}\right)\\= \frac{4}{11}+\frac{15}{13}\\=\frac{52}{143}+\frac{165}{143}\\=\frac{52+165}{143}\\=\frac{217}{143}\)
10. \(+\left(\frac{13}{8}\right)+\left(\frac{-12}{-11}\right)\\= \frac{13}{8}+\frac{12}{11}\\=\frac{143}{88}+\frac{96}{88}\\=\frac{143+96}{88}\\=\frac{239}{88}\)
11. \(-\left(\frac{10}{7}\right)-\left(\frac{11}{-4}\right)\\= \frac{-10}{7}+\frac{11}{4}\\=\frac{-40}{28}+\frac{77}{28}\\=\frac{-40+77}{28}\\=\frac{37}{28}\)
12. \(-\left(\frac{10}{-11}\right)+\left(\frac{6}{5}\right)\\= \frac{10}{11}+\frac{6}{5}\\=\frac{50}{55}+\frac{66}{55}\\=\frac{50+66}{55}\\=\frac{116}{55}\)