Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-7}{-3}\right)+\left(\frac{6}{7}\right)\\= \frac{-7}{3}+\frac{6}{7}\\=\frac{-49}{21}+\frac{18}{21}\\=\frac{-49+18}{21}\\=\frac{-31}{21}\)
2. \(-\left(\frac{9}{-4}\right)-\left(\frac{-2}{-7}\right)\\= \frac{9}{4}-\frac{2}{7}\\=\frac{63}{28}-\frac{8}{28}\\=\frac{63-8}{28}\\=\frac{55}{28}\)
3. \(-\left(\frac{9}{-13}\right)+\left(\frac{-7}{-6}\right)\\= \frac{9}{13}+\frac{7}{6}\\=\frac{54}{78}+\frac{91}{78}\\=\frac{54+91}{78}\\=\frac{145}{78}\)
4. \(-\left(\frac{-4}{3}\right)-\left(\frac{-11}{-9}\right)\\= \frac{4}{3}-\frac{11}{9}\\=\frac{12}{9}-\frac{11}{9}\\=\frac{12-11}{9}\\=\frac{1}{9}\)
5. \(-\left(\frac{4}{3}\right)+\left(\frac{13}{-10}\right)\\= \frac{-4}{3}-\frac{13}{10}\\=\frac{-40}{30}-\frac{39}{30}\\=\frac{-40-39}{30}\\=\frac{-79}{30}\)
6. \(+\left(\frac{-5}{12}\right)-\left(\frac{-11}{2}\right)\\= \frac{-5}{12}+\frac{11}{2}\\=\frac{-5+11}{12}\\=\frac{6}{12}\\=\frac{1}{2}\)
7. \(+\left(\frac{-3}{-11}\right)-\left(\frac{-6}{-11}\right)\\= \frac{3}{11}-\frac{6}{11}\\=\frac{3-6}{11}\\=\frac{-3}{11}\)
8. \(+\left(\frac{13}{14}\right)-\left(\frac{-5}{8}\right)\\= \frac{13}{14}+\frac{5}{8}\\=\frac{52}{56}+\frac{35}{56}\\=\frac{52+35}{56}\\=\frac{87}{56}\)
9. \(+\left(\frac{-7}{11}\right)-\left(\frac{-12}{5}\right)\\= \frac{-7}{11}+\frac{12}{5}\\=\frac{-35}{55}+\frac{132}{55}\\=\frac{-35+132}{55}\\=\frac{97}{55}\)
10. \(-\left(\frac{9}{-14}\right)+\left(\frac{-11}{-5}\right)\\= \frac{9}{14}+\frac{11}{5}\\=\frac{45}{70}+\frac{154}{70}\\=\frac{45+154}{70}\\=\frac{199}{70}\)
11. \(+\left(\frac{-15}{4}\right)-\left(\frac{5}{-2}\right)\\= \frac{-15}{4}+\frac{5}{2}\\=\frac{-15+5}{4}\\=\frac{-10}{4}\\=\frac{-5}{2}\)
12. \(+\left(\frac{-3}{2}\right)-\left(\frac{12}{13}\right)\\= \frac{-3}{2}-\frac{12}{13}\\=\frac{-39}{26}-\frac{24}{26}\\=\frac{-39-24}{26}\\=\frac{-63}{26}\)