Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-7}{-11}\right)+\left(\frac{10}{-9}\right)\\= \frac{-7}{11}-\frac{10}{9}\\=\frac{-63}{99}-\frac{110}{99}\\=\frac{-63-110}{99}\\=\frac{-173}{99}\)
2. \(+\left(\frac{-15}{-4}\right)-\left(\frac{12}{7}\right)\\= \frac{15}{4}-\frac{12}{7}\\=\frac{105}{28}-\frac{48}{28}\\=\frac{105-48}{28}\\=\frac{57}{28}\)
3. \(+\left(\frac{-11}{13}\right)+\left(\frac{-14}{-11}\right)\\= \frac{-11}{13}+\frac{14}{11}\\=\frac{-121}{143}+\frac{182}{143}\\=\frac{-121+182}{143}\\=\frac{61}{143}\)
4. \(+\left(\frac{4}{-3}\right)-\left(\frac{7}{-9}\right)\\= \frac{-4}{3}+\frac{7}{9}\\=\frac{-12}{9}+\frac{7}{9}\\=\frac{-12+7}{9}\\=\frac{-5}{9}\)
5. \(-\left(\frac{-2}{-3}\right)-\left(\frac{-13}{-9}\right)\\= \frac{-2}{3}-\frac{13}{9}\\=\frac{-6}{9}-\frac{13}{9}\\=\frac{-6-13}{9}\\=\frac{-19}{9}\)
6. \(-\left(\frac{-14}{9}\right)+\left(\frac{-14}{9}\right)\\= \frac{14}{9}-\frac{14}{9}\\=\frac{14-14}{9}\\=\frac{0}{9}\\=\frac{0}{1}\)
7. \(-\left(\frac{13}{2}\right)+\left(\frac{10}{11}\right)\\= \frac{-13}{2}+\frac{10}{11}\\=\frac{-143}{22}+\frac{20}{22}\\=\frac{-143+20}{22}\\=\frac{-123}{22}\)
8. \(+\left(\frac{3}{14}\right)-\left(\frac{-2}{11}\right)\\= \frac{3}{14}+\frac{2}{11}\\=\frac{33}{154}+\frac{28}{154}\\=\frac{33+28}{154}\\=\frac{61}{154}\)
9. \(+\left(\frac{4}{13}\right)-\left(\frac{12}{-5}\right)\\= \frac{4}{13}+\frac{12}{5}\\=\frac{20}{65}+\frac{156}{65}\\=\frac{20+156}{65}\\=\frac{176}{65}\)
10. \(-\left(\frac{-10}{-11}\right)-\left(\frac{15}{2}\right)\\= \frac{-10}{11}-\frac{15}{2}\\=\frac{-20}{22}-\frac{165}{22}\\=\frac{-20-165}{22}\\=\frac{-185}{22}\)
11. \(-\left(\frac{3}{-7}\right)+\left(\frac{15}{2}\right)\\= \frac{3}{7}+\frac{15}{2}\\=\frac{6}{14}+\frac{105}{14}\\=\frac{6+105}{14}\\=\frac{111}{14}\)
12. \(+\left(\frac{-15}{2}\right)+\left(\frac{-5}{4}\right)\\= \frac{-15}{2}-\frac{5}{4}\\=\frac{-30}{4}-\frac{5}{4}\\=\frac{-30-5}{4}\\=\frac{-35}{4}\)