Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{-9}{14}\right)+\left(\frac{-12}{5}\right)\\= \frac{-9}{14}-\frac{12}{5}\\=\frac{-45}{70}-\frac{168}{70}\\=\frac{-45-168}{70}\\=\frac{-213}{70}\)
2. \(-\left(\frac{-12}{11}\right)+\left(\frac{-10}{-7}\right)\\= \frac{12}{11}+\frac{10}{7}\\=\frac{84}{77}+\frac{110}{77}\\=\frac{84+110}{77}\\=\frac{194}{77}\)
3. \(-\left(\frac{-4}{-3}\right)-\left(\frac{9}{-5}\right)\\= \frac{-4}{3}+\frac{9}{5}\\=\frac{-20}{15}+\frac{27}{15}\\=\frac{-20+27}{15}\\=\frac{7}{15}\)
4. \(-\left(\frac{-9}{14}\right)+\left(\frac{-5}{-3}\right)\\= \frac{9}{14}+\frac{5}{3}\\=\frac{27}{42}+\frac{70}{42}\\=\frac{27+70}{42}\\=\frac{97}{42}\)
5. \(-\left(\frac{4}{-3}\right)+\left(\frac{-13}{11}\right)\\= \frac{4}{3}-\frac{13}{11}\\=\frac{44}{33}-\frac{39}{33}\\=\frac{44-39}{33}\\=\frac{5}{33}\)
6. \(-\left(\frac{-2}{3}\right)+\left(\frac{6}{-13}\right)\\= \frac{2}{3}-\frac{6}{13}\\=\frac{26}{39}-\frac{18}{39}\\=\frac{26-18}{39}\\=\frac{8}{39}\)
7. \(+\left(\frac{-7}{-5}\right)-\left(\frac{-3}{-11}\right)\\= \frac{7}{5}-\frac{3}{11}\\=\frac{77}{55}-\frac{15}{55}\\=\frac{77-15}{55}\\=\frac{62}{55}\)
8. \(+\left(\frac{-10}{7}\right)+\left(\frac{8}{-5}\right)\\= \frac{-10}{7}-\frac{8}{5}\\=\frac{-50}{35}-\frac{56}{35}\\=\frac{-50-56}{35}\\=\frac{-106}{35}\)
9. \(+\left(\frac{11}{4}\right)+\left(\frac{4}{11}\right)\\= \frac{11}{4}+\frac{4}{11}\\=\frac{121}{44}+\frac{16}{44}\\=\frac{121+16}{44}\\=\frac{137}{44}\)
10. \(+\left(\frac{5}{-14}\right)-\left(\frac{12}{7}\right)\\= \frac{-5}{14}-\frac{12}{7}\\=\frac{-5-12}{14}\\=\frac{-17}{14}\)
11. \(+\left(\frac{10}{-7}\right)-\left(\frac{12}{5}\right)\\= \frac{-10}{7}-\frac{12}{5}\\=\frac{-50}{35}-\frac{84}{35}\\=\frac{-50-84}{35}\\=\frac{-134}{35}\)
12. \(-\left(\frac{-4}{-3}\right)+\left(\frac{-8}{3}\right)\\= \frac{-4}{3}-\frac{8}{3}\\=\frac{-4-8}{3}\\=\frac{-12}{3}\\=\frac{-4}{1}\)