Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{-3}{-13}\right)+\left(\frac{15}{-13}\right)\\= \frac{3}{13}-\frac{15}{13}\\=\frac{3-15}{13}\\=\frac{-12}{13}\)
2. \(-\left(\frac{12}{-5}\right)-\left(\frac{14}{-3}\right)\\= \frac{12}{5}+\frac{14}{3}\\=\frac{36}{15}+\frac{70}{15}\\=\frac{36+70}{15}\\=\frac{106}{15}\)
3. \(-\left(\frac{13}{2}\right)+\left(\frac{-11}{-7}\right)\\= \frac{-13}{2}+\frac{11}{7}\\=\frac{-91}{14}+\frac{22}{14}\\=\frac{-91+22}{14}\\=\frac{-69}{14}\)
4. \(-\left(\frac{-11}{-13}\right)-\left(\frac{-13}{-4}\right)\\= \frac{-11}{13}-\frac{13}{4}\\=\frac{-44}{52}-\frac{169}{52}\\=\frac{-44-169}{52}\\=\frac{-213}{52}\)
5. \(+\left(\frac{-13}{-8}\right)+\left(\frac{8}{11}\right)\\= \frac{13}{8}+\frac{8}{11}\\=\frac{143}{88}+\frac{64}{88}\\=\frac{143+64}{88}\\=\frac{207}{88}\)
6. \(+\left(\frac{6}{11}\right)+\left(\frac{12}{-11}\right)\\= \frac{6}{11}-\frac{12}{11}\\=\frac{6-12}{11}\\=\frac{-6}{11}\)
7. \(-\left(\frac{-11}{-13}\right)-\left(\frac{15}{11}\right)\\= \frac{-11}{13}-\frac{15}{11}\\=\frac{-121}{143}-\frac{195}{143}\\=\frac{-121-195}{143}\\=\frac{-316}{143}\)
8. \(+\left(\frac{-2}{3}\right)-\left(\frac{6}{-5}\right)\\= \frac{-2}{3}+\frac{6}{5}\\=\frac{-10}{15}+\frac{18}{15}\\=\frac{-10+18}{15}\\=\frac{8}{15}\)
9. \(+\left(\frac{10}{7}\right)-\left(\frac{11}{-2}\right)\\= \frac{10}{7}+\frac{11}{2}\\=\frac{20}{14}+\frac{77}{14}\\=\frac{20+77}{14}\\=\frac{97}{14}\)
10. \(-\left(\frac{10}{-13}\right)+\left(\frac{-7}{-8}\right)\\= \frac{10}{13}+\frac{7}{8}\\=\frac{80}{104}+\frac{91}{104}\\=\frac{80+91}{104}\\=\frac{171}{104}\)
11. \(+\left(\frac{8}{7}\right)-\left(\frac{8}{3}\right)\\= \frac{8}{7}-\frac{8}{3}\\=\frac{24}{21}-\frac{56}{21}\\=\frac{24-56}{21}\\=\frac{-32}{21}\)
12. \(+\left(\frac{-4}{-9}\right)+\left(\frac{5}{3}\right)\\= \frac{4}{9}+\frac{5}{3}\\=\frac{4+5}{9}\\=\frac{9}{9}\\=\frac{1}{1}\)