Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{11}{-7}\right)-\left(\frac{-8}{-9}\right)\\= \frac{11}{7}-\frac{8}{9}\\=\frac{99}{63}-\frac{56}{63}\\=\frac{99-56}{63}\\=\frac{43}{63}\)
2. \(+\left(\frac{-12}{11}\right)+\left(\frac{-15}{-13}\right)\\= \frac{-12}{11}+\frac{15}{13}\\=\frac{-156}{143}+\frac{165}{143}\\=\frac{-156+165}{143}\\=\frac{9}{143}\)
3. \(+\left(\frac{-8}{9}\right)+\left(\frac{-13}{-14}\right)\\= \frac{-8}{9}+\frac{13}{14}\\=\frac{-112}{126}+\frac{117}{126}\\=\frac{-112+117}{126}\\=\frac{5}{126}\)
4. \(-\left(\frac{15}{13}\right)+\left(\frac{11}{6}\right)\\= \frac{-15}{13}+\frac{11}{6}\\=\frac{-90}{78}+\frac{143}{78}\\=\frac{-90+143}{78}\\=\frac{53}{78}\)
5. \(+\left(\frac{13}{7}\right)+\left(\frac{8}{-5}\right)\\= \frac{13}{7}-\frac{8}{5}\\=\frac{65}{35}-\frac{56}{35}\\=\frac{65-56}{35}\\=\frac{9}{35}\)
6. \(+\left(\frac{8}{-3}\right)+\left(\frac{-4}{-13}\right)\\= \frac{-8}{3}+\frac{4}{13}\\=\frac{-104}{39}+\frac{12}{39}\\=\frac{-104+12}{39}\\=\frac{-92}{39}\)
7. \(-\left(\frac{11}{10}\right)+\left(\frac{7}{9}\right)\\= \frac{-11}{10}+\frac{7}{9}\\=\frac{-99}{90}+\frac{70}{90}\\=\frac{-99+70}{90}\\=\frac{-29}{90}\)
8. \(+\left(\frac{-11}{-12}\right)+\left(\frac{5}{-11}\right)\\= \frac{11}{12}-\frac{5}{11}\\=\frac{121}{132}-\frac{60}{132}\\=\frac{121-60}{132}\\=\frac{61}{132}\)
9. \(+\left(\frac{5}{-3}\right)-\left(\frac{3}{-10}\right)\\= \frac{-5}{3}+\frac{3}{10}\\=\frac{-50}{30}+\frac{9}{30}\\=\frac{-50+9}{30}\\=\frac{-41}{30}\)
10. \(-\left(\frac{-6}{13}\right)-\left(\frac{-8}{9}\right)\\= \frac{6}{13}+\frac{8}{9}\\=\frac{54}{117}+\frac{104}{117}\\=\frac{54+104}{117}\\=\frac{158}{117}\)
11. \(-\left(\frac{-7}{2}\right)+\left(\frac{15}{11}\right)\\= \frac{7}{2}+\frac{15}{11}\\=\frac{77}{22}+\frac{30}{22}\\=\frac{77+30}{22}\\=\frac{107}{22}\)
12. \(-\left(\frac{3}{13}\right)+\left(\frac{6}{11}\right)\\= \frac{-3}{13}+\frac{6}{11}\\=\frac{-33}{143}+\frac{78}{143}\\=\frac{-33+78}{143}\\=\frac{45}{143}\)