Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{3}{4}\right)+\left(\frac{-6}{5}\right)\\= \frac{3}{4}-\frac{6}{5}\\=\frac{15}{20}-\frac{24}{20}\\=\frac{15-24}{20}\\=\frac{-9}{20}\)
2. \(-\left(\frac{-14}{9}\right)-\left(\frac{8}{-9}\right)\\= \frac{14}{9}+\frac{8}{9}\\=\frac{14+8}{9}\\=\frac{22}{9}\)
3. \(-\left(\frac{-6}{5}\right)-\left(\frac{-3}{-14}\right)\\= \frac{6}{5}-\frac{3}{14}\\=\frac{84}{70}-\frac{15}{70}\\=\frac{84-15}{70}\\=\frac{69}{70}\)
4. \(+\left(\frac{-6}{-11}\right)-\left(\frac{-12}{-5}\right)\\= \frac{6}{11}-\frac{12}{5}\\=\frac{30}{55}-\frac{132}{55}\\=\frac{30-132}{55}\\=\frac{-102}{55}\)
5. \(-\left(\frac{5}{11}\right)-\left(\frac{-2}{-11}\right)\\= \frac{-5}{11}-\frac{2}{11}\\=\frac{-5-2}{11}\\=\frac{-7}{11}\)
6. \(+\left(\frac{-5}{-9}\right)+\left(\frac{2}{-11}\right)\\= \frac{5}{9}-\frac{2}{11}\\=\frac{55}{99}-\frac{18}{99}\\=\frac{55-18}{99}\\=\frac{37}{99}\)
7. \(+\left(\frac{8}{-7}\right)+\left(\frac{-10}{-7}\right)\\= \frac{-8}{7}+\frac{10}{7}\\=\frac{-8+10}{7}\\=\frac{2}{7}\)
8. \(+\left(\frac{-2}{-3}\right)+\left(\frac{9}{-10}\right)\\= \frac{2}{3}-\frac{9}{10}\\=\frac{20}{30}-\frac{27}{30}\\=\frac{20-27}{30}\\=\frac{-7}{30}\)
9. \(-\left(\frac{-10}{-7}\right)-\left(\frac{-7}{11}\right)\\= \frac{-10}{7}+\frac{7}{11}\\=\frac{-110}{77}+\frac{49}{77}\\=\frac{-110+49}{77}\\=\frac{-61}{77}\)
10. \(-\left(\frac{11}{-13}\right)-\left(\frac{-14}{-3}\right)\\= \frac{11}{13}-\frac{14}{3}\\=\frac{33}{39}-\frac{182}{39}\\=\frac{33-182}{39}\\=\frac{-149}{39}\)
11. \(-\left(\frac{7}{-13}\right)+\left(\frac{11}{-6}\right)\\= \frac{7}{13}-\frac{11}{6}\\=\frac{42}{78}-\frac{143}{78}\\=\frac{42-143}{78}\\=\frac{-101}{78}\)
12. \(+\left(\frac{-11}{-6}\right)+\left(\frac{6}{-5}\right)\\= \frac{11}{6}-\frac{6}{5}\\=\frac{55}{30}-\frac{36}{30}\\=\frac{55-36}{30}\\=\frac{19}{30}\)