Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{-15}{14}\right)+\left(\frac{13}{-10}\right)\\= \frac{-15}{14}-\frac{13}{10}\\=\frac{-75}{70}-\frac{91}{70}\\=\frac{-75-91}{70}\\=\frac{-166}{70}\\=\frac{-83}{35}\)
2. \(-\left(\frac{-9}{-8}\right)+\left(\frac{15}{7}\right)\\= \frac{-9}{8}+\frac{15}{7}\\=\frac{-63}{56}+\frac{120}{56}\\=\frac{-63+120}{56}\\=\frac{57}{56}\)
3. \(+\left(\frac{-4}{9}\right)-\left(\frac{10}{3}\right)\\= \frac{-4}{9}-\frac{10}{3}\\=\frac{-4-10}{9}\\=\frac{-14}{9}\)
4. \(+\left(\frac{-8}{-5}\right)+\left(\frac{-11}{12}\right)\\= \frac{8}{5}-\frac{11}{12}\\=\frac{96}{60}-\frac{55}{60}\\=\frac{96-55}{60}\\=\frac{41}{60}\)
5. \(+\left(\frac{-5}{-13}\right)-\left(\frac{-3}{-11}\right)\\= \frac{5}{13}-\frac{3}{11}\\=\frac{55}{143}-\frac{39}{143}\\=\frac{55-39}{143}\\=\frac{16}{143}\)
6. \(-\left(\frac{15}{11}\right)+\left(\frac{-8}{9}\right)\\= \frac{-15}{11}-\frac{8}{9}\\=\frac{-135}{99}-\frac{88}{99}\\=\frac{-135-88}{99}\\=\frac{-223}{99}\)
7. \(-\left(\frac{-11}{-5}\right)+\left(\frac{-12}{5}\right)\\= \frac{-11}{5}-\frac{12}{5}\\=\frac{-11-12}{5}\\=\frac{-23}{5}\)
8. \(-\left(\frac{-10}{-13}\right)+\left(\frac{8}{-3}\right)\\= \frac{-10}{13}-\frac{8}{3}\\=\frac{-30}{39}-\frac{104}{39}\\=\frac{-30-104}{39}\\=\frac{-134}{39}\)
9. \(+\left(\frac{8}{-9}\right)+\left(\frac{13}{-11}\right)\\= \frac{-8}{9}-\frac{13}{11}\\=\frac{-88}{99}-\frac{117}{99}\\=\frac{-88-117}{99}\\=\frac{-205}{99}\)
10. \(+\left(\frac{-10}{7}\right)+\left(\frac{14}{-3}\right)\\= \frac{-10}{7}-\frac{14}{3}\\=\frac{-30}{21}-\frac{98}{21}\\=\frac{-30-98}{21}\\=\frac{-128}{21}\)
11. \(+\left(\frac{-2}{-3}\right)-\left(\frac{-15}{-7}\right)\\= \frac{2}{3}-\frac{15}{7}\\=\frac{14}{21}-\frac{45}{21}\\=\frac{14-45}{21}\\=\frac{-31}{21}\)
12. \(+\left(\frac{8}{5}\right)+\left(\frac{13}{-3}\right)\\= \frac{8}{5}-\frac{13}{3}\\=\frac{24}{15}-\frac{65}{15}\\=\frac{24-65}{15}\\=\frac{-41}{15}\)