Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{-10}{-3}\right)-\left(\frac{4}{5}\right)\\= \frac{10}{3}-\frac{4}{5}\\=\frac{50}{15}-\frac{12}{15}\\=\frac{50-12}{15}\\=\frac{38}{15}\)
2. \(-\left(\frac{4}{-3}\right)+\left(\frac{-15}{-11}\right)\\= \frac{4}{3}+\frac{15}{11}\\=\frac{44}{33}+\frac{45}{33}\\=\frac{44+45}{33}\\=\frac{89}{33}\)
3. \(+\left(\frac{-11}{-2}\right)+\left(\frac{-2}{-7}\right)\\= \frac{11}{2}+\frac{2}{7}\\=\frac{77}{14}+\frac{4}{14}\\=\frac{77+4}{14}\\=\frac{81}{14}\)
4. \(-\left(\frac{5}{2}\right)+\left(\frac{10}{9}\right)\\= \frac{-5}{2}+\frac{10}{9}\\=\frac{-45}{18}+\frac{20}{18}\\=\frac{-45+20}{18}\\=\frac{-25}{18}\)
5. \(+\left(\frac{2}{-11}\right)+\left(\frac{-13}{-9}\right)\\= \frac{-2}{11}+\frac{13}{9}\\=\frac{-18}{99}+\frac{143}{99}\\=\frac{-18+143}{99}\\=\frac{125}{99}\)
6. \(+\left(\frac{-11}{-3}\right)+\left(\frac{2}{3}\right)\\= \frac{11}{3}+\frac{2}{3}\\=\frac{11+2}{3}\\=\frac{13}{3}\)
7. \(+\left(\frac{-12}{11}\right)-\left(\frac{15}{-13}\right)\\= \frac{-12}{11}+\frac{15}{13}\\=\frac{-156}{143}+\frac{165}{143}\\=\frac{-156+165}{143}\\=\frac{9}{143}\)
8. \(+\left(\frac{-5}{-9}\right)+\left(\frac{9}{4}\right)\\= \frac{5}{9}+\frac{9}{4}\\=\frac{20}{36}+\frac{81}{36}\\=\frac{20+81}{36}\\=\frac{101}{36}\)
9. \(-\left(\frac{-15}{2}\right)+\left(\frac{-6}{5}\right)\\= \frac{15}{2}-\frac{6}{5}\\=\frac{75}{10}-\frac{12}{10}\\=\frac{75-12}{10}\\=\frac{63}{10}\)
10. \(+\left(\frac{6}{-5}\right)-\left(\frac{7}{-8}\right)\\= \frac{-6}{5}+\frac{7}{8}\\=\frac{-48}{40}+\frac{35}{40}\\=\frac{-48+35}{40}\\=\frac{-13}{40}\)
11. \(+\left(\frac{-2}{11}\right)-\left(\frac{-13}{-6}\right)\\= \frac{-2}{11}-\frac{13}{6}\\=\frac{-12}{66}-\frac{143}{66}\\=\frac{-12-143}{66}\\=\frac{-155}{66}\)
12. \(-\left(\frac{6}{-7}\right)-\left(\frac{-12}{13}\right)\\= \frac{6}{7}+\frac{12}{13}\\=\frac{78}{91}+\frac{84}{91}\\=\frac{78+84}{91}\\=\frac{162}{91}\)