Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{5}{-6}\right)+\left(\frac{-13}{3}\right)\\= \frac{-5}{6}-\frac{13}{3}\\=\frac{-5-13}{6}\\=\frac{-18}{6}\\=\frac{-3}{1}\)
2. \(+\left(\frac{-15}{11}\right)-\left(\frac{-10}{7}\right)\\= \frac{-15}{11}+\frac{10}{7}\\=\frac{-105}{77}+\frac{110}{77}\\=\frac{-105+110}{77}\\=\frac{5}{77}\)
3. \(+\left(\frac{-14}{-9}\right)+\left(\frac{14}{11}\right)\\= \frac{14}{9}+\frac{14}{11}\\=\frac{154}{99}+\frac{126}{99}\\=\frac{154+126}{99}\\=\frac{280}{99}\)
4. \(-\left(\frac{3}{-2}\right)-\left(\frac{-2}{3}\right)\\= \frac{3}{2}+\frac{2}{3}\\=\frac{9}{6}+\frac{4}{6}\\=\frac{9+4}{6}\\=\frac{13}{6}\)
5. \(-\left(\frac{-14}{-13}\right)+\left(\frac{-14}{13}\right)\\= \frac{-14}{13}-\frac{14}{13}\\=\frac{-14-14}{13}\\=\frac{-28}{13}\)
6. \(-\left(\frac{-7}{4}\right)-\left(\frac{-7}{-10}\right)\\= \frac{7}{4}-\frac{7}{10}\\=\frac{35}{20}-\frac{14}{20}\\=\frac{35-14}{20}\\=\frac{21}{20}\)
7. \(+\left(\frac{-10}{7}\right)-\left(\frac{-2}{-9}\right)\\= \frac{-10}{7}-\frac{2}{9}\\=\frac{-90}{63}-\frac{14}{63}\\=\frac{-90-14}{63}\\=\frac{-104}{63}\)
8. \(+\left(\frac{6}{-5}\right)-\left(\frac{2}{-11}\right)\\= \frac{-6}{5}+\frac{2}{11}\\=\frac{-66}{55}+\frac{10}{55}\\=\frac{-66+10}{55}\\=\frac{-56}{55}\)
9. \(+\left(\frac{9}{13}\right)+\left(\frac{-6}{-11}\right)\\= \frac{9}{13}+\frac{6}{11}\\=\frac{99}{143}+\frac{78}{143}\\=\frac{99+78}{143}\\=\frac{177}{143}\)
10. \(+\left(\frac{2}{-7}\right)+\left(\frac{6}{-7}\right)\\= \frac{-2}{7}-\frac{6}{7}\\=\frac{-2-6}{7}\\=\frac{-8}{7}\)
11. \(-\left(\frac{-13}{2}\right)+\left(\frac{13}{-11}\right)\\= \frac{13}{2}-\frac{13}{11}\\=\frac{143}{22}-\frac{26}{22}\\=\frac{143-26}{22}\\=\frac{117}{22}\)
12. \(+\left(\frac{-7}{-5}\right)+\left(\frac{11}{14}\right)\\= \frac{7}{5}+\frac{11}{14}\\=\frac{98}{70}+\frac{55}{70}\\=\frac{98+55}{70}\\=\frac{153}{70}\)