Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{11}{-2}\right)+\left(\frac{-4}{-3}\right)\\= \frac{11}{2}+\frac{4}{3}\\=\frac{33}{6}+\frac{8}{6}\\=\frac{33+8}{6}\\=\frac{41}{6}\)
2. \(-\left(\frac{-4}{11}\right)+\left(\frac{12}{5}\right)\\= \frac{4}{11}+\frac{12}{5}\\=\frac{20}{55}+\frac{132}{55}\\=\frac{20+132}{55}\\=\frac{152}{55}\)
3. \(-\left(\frac{11}{12}\right)-\left(\frac{8}{7}\right)\\= \frac{-11}{12}-\frac{8}{7}\\=\frac{-77}{84}-\frac{96}{84}\\=\frac{-77-96}{84}\\=\frac{-173}{84}\)
4. \(-\left(\frac{3}{2}\right)+\left(\frac{6}{-11}\right)\\= \frac{-3}{2}-\frac{6}{11}\\=\frac{-33}{22}-\frac{12}{22}\\=\frac{-33-12}{22}\\=\frac{-45}{22}\)
5. \(-\left(\frac{-4}{3}\right)+\left(\frac{14}{-5}\right)\\= \frac{4}{3}-\frac{14}{5}\\=\frac{20}{15}-\frac{42}{15}\\=\frac{20-42}{15}\\=\frac{-22}{15}\)
6. \(-\left(\frac{-12}{-5}\right)-\left(\frac{7}{11}\right)\\= \frac{-12}{5}-\frac{7}{11}\\=\frac{-132}{55}-\frac{35}{55}\\=\frac{-132-35}{55}\\=\frac{-167}{55}\)
7. \(+\left(\frac{-13}{6}\right)-\left(\frac{-3}{-13}\right)\\= \frac{-13}{6}-\frac{3}{13}\\=\frac{-169}{78}-\frac{18}{78}\\=\frac{-169-18}{78}\\=\frac{-187}{78}\)
8. \(-\left(\frac{-9}{-14}\right)-\left(\frac{8}{3}\right)\\= \frac{-9}{14}-\frac{8}{3}\\=\frac{-27}{42}-\frac{112}{42}\\=\frac{-27-112}{42}\\=\frac{-139}{42}\)
9. \(+\left(\frac{15}{-11}\right)+\left(\frac{-8}{3}\right)\\= \frac{-15}{11}-\frac{8}{3}\\=\frac{-45}{33}-\frac{88}{33}\\=\frac{-45-88}{33}\\=\frac{-133}{33}\)
10. \(-\left(\frac{10}{11}\right)-\left(\frac{-13}{-14}\right)\\= \frac{-10}{11}-\frac{13}{14}\\=\frac{-140}{154}-\frac{143}{154}\\=\frac{-140-143}{154}\\=\frac{-283}{154}\)
11. \(-\left(\frac{10}{11}\right)-\left(\frac{-12}{5}\right)\\= \frac{-10}{11}+\frac{12}{5}\\=\frac{-50}{55}+\frac{132}{55}\\=\frac{-50+132}{55}\\=\frac{82}{55}\)
12. \(+\left(\frac{6}{7}\right)-\left(\frac{11}{-3}\right)\\= \frac{6}{7}+\frac{11}{3}\\=\frac{18}{21}+\frac{77}{21}\\=\frac{18+77}{21}\\=\frac{95}{21}\)