Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{6}{7}\right)+\left(\frac{-10}{-7}\right)\\= \frac{6}{7}+\frac{10}{7}\\=\frac{6+10}{7}\\=\frac{16}{7}\)
2. \(+\left(\frac{-5}{-4}\right)+\left(\frac{12}{11}\right)\\= \frac{5}{4}+\frac{12}{11}\\=\frac{55}{44}+\frac{48}{44}\\=\frac{55+48}{44}\\=\frac{103}{44}\)
3. \(+\left(\frac{2}{11}\right)+\left(\frac{-14}{-9}\right)\\= \frac{2}{11}+\frac{14}{9}\\=\frac{18}{99}+\frac{154}{99}\\=\frac{18+154}{99}\\=\frac{172}{99}\)
4. \(+\left(\frac{9}{-10}\right)+\left(\frac{7}{12}\right)\\= \frac{-9}{10}+\frac{7}{12}\\=\frac{-54}{60}+\frac{35}{60}\\=\frac{-54+35}{60}\\=\frac{-19}{60}\)
5. \(+\left(\frac{12}{13}\right)+\left(\frac{14}{11}\right)\\= \frac{12}{13}+\frac{14}{11}\\=\frac{132}{143}+\frac{182}{143}\\=\frac{132+182}{143}\\=\frac{314}{143}\)
6. \(-\left(\frac{-15}{-14}\right)-\left(\frac{-2}{9}\right)\\= \frac{-15}{14}+\frac{2}{9}\\=\frac{-135}{126}+\frac{28}{126}\\=\frac{-135+28}{126}\\=\frac{-107}{126}\)
7. \(-\left(\frac{13}{-6}\right)-\left(\frac{15}{-7}\right)\\= \frac{13}{6}+\frac{15}{7}\\=\frac{91}{42}+\frac{90}{42}\\=\frac{91+90}{42}\\=\frac{181}{42}\)
8. \(+\left(\frac{4}{-5}\right)+\left(\frac{-11}{-2}\right)\\= \frac{-4}{5}+\frac{11}{2}\\=\frac{-8}{10}+\frac{55}{10}\\=\frac{-8+55}{10}\\=\frac{47}{10}\)
9. \(+\left(\frac{10}{-7}\right)+\left(\frac{5}{-2}\right)\\= \frac{-10}{7}-\frac{5}{2}\\=\frac{-20}{14}-\frac{35}{14}\\=\frac{-20-35}{14}\\=\frac{-55}{14}\)
10. \(-\left(\frac{-6}{5}\right)+\left(\frac{12}{-13}\right)\\= \frac{6}{5}-\frac{12}{13}\\=\frac{78}{65}-\frac{60}{65}\\=\frac{78-60}{65}\\=\frac{18}{65}\)
11. \(+\left(\frac{-15}{-7}\right)+\left(\frac{13}{-3}\right)\\= \frac{15}{7}-\frac{13}{3}\\=\frac{45}{21}-\frac{91}{21}\\=\frac{45-91}{21}\\=\frac{-46}{21}\)
12. \(+\left(\frac{-4}{-3}\right)-\left(\frac{-2}{-11}\right)\\= \frac{4}{3}-\frac{2}{11}\\=\frac{44}{33}-\frac{6}{33}\\=\frac{44-6}{33}\\=\frac{38}{33}\)