Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{6}{-5}\right)+\left(\frac{9}{4}\right)\\= \frac{-6}{5}+\frac{9}{4}\\=\frac{-24}{20}+\frac{45}{20}\\=\frac{-24+45}{20}\\=\frac{21}{20}\)
2. \(-\left(\frac{-7}{5}\right)-\left(\frac{11}{-5}\right)\\= \frac{7}{5}+\frac{11}{5}\\=\frac{7+11}{5}\\=\frac{18}{5}\)
3. \(-\left(\frac{-10}{13}\right)-\left(\frac{-6}{7}\right)\\= \frac{10}{13}+\frac{6}{7}\\=\frac{70}{91}+\frac{78}{91}\\=\frac{70+78}{91}\\=\frac{148}{91}\)
4. \(+\left(\frac{-15}{13}\right)-\left(\frac{10}{-11}\right)\\= \frac{-15}{13}+\frac{10}{11}\\=\frac{-165}{143}+\frac{130}{143}\\=\frac{-165+130}{143}\\=\frac{-35}{143}\)
5. \(+\left(\frac{-12}{-13}\right)+\left(\frac{12}{7}\right)\\= \frac{12}{13}+\frac{12}{7}\\=\frac{84}{91}+\frac{156}{91}\\=\frac{84+156}{91}\\=\frac{240}{91}\)
6. \(-\left(\frac{15}{-13}\right)+\left(\frac{-4}{13}\right)\\= \frac{15}{13}-\frac{4}{13}\\=\frac{15-4}{13}\\=\frac{11}{13}\)
7. \(+\left(\frac{-11}{12}\right)-\left(\frac{-6}{-11}\right)\\= \frac{-11}{12}-\frac{6}{11}\\=\frac{-121}{132}-\frac{72}{132}\\=\frac{-121-72}{132}\\=\frac{-193}{132}\)
8. \(-\left(\frac{-2}{-7}\right)+\left(\frac{3}{-4}\right)\\= \frac{-2}{7}-\frac{3}{4}\\=\frac{-8}{28}-\frac{21}{28}\\=\frac{-8-21}{28}\\=\frac{-29}{28}\)
9. \(-\left(\frac{-12}{5}\right)+\left(\frac{6}{11}\right)\\= \frac{12}{5}+\frac{6}{11}\\=\frac{132}{55}+\frac{30}{55}\\=\frac{132+30}{55}\\=\frac{162}{55}\)
10. \(+\left(\frac{2}{-3}\right)+\left(\frac{8}{-5}\right)\\= \frac{-2}{3}-\frac{8}{5}\\=\frac{-10}{15}-\frac{24}{15}\\=\frac{-10-24}{15}\\=\frac{-34}{15}\)
11. \(+\left(\frac{-12}{5}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-12}{5}+\frac{6}{5}\\=\frac{-12+6}{5}\\=\frac{-6}{5}\)
12. \(-\left(\frac{-8}{-7}\right)+\left(\frac{14}{-5}\right)\\= \frac{-8}{7}-\frac{14}{5}\\=\frac{-40}{35}-\frac{98}{35}\\=\frac{-40-98}{35}\\=\frac{-138}{35}\)