Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{-5}\right)+\left(\frac{13}{-3}\right)\\= \frac{2}{5}-\frac{13}{3}\\=\frac{6}{15}-\frac{65}{15}\\=\frac{6-65}{15}\\=\frac{-59}{15}\)
2. \(+\left(\frac{-3}{10}\right)-\left(\frac{-11}{12}\right)\\= \frac{-3}{10}+\frac{11}{12}\\=\frac{-18}{60}+\frac{55}{60}\\=\frac{-18+55}{60}\\=\frac{37}{60}\)
3. \(-\left(\frac{-14}{-3}\right)-\left(\frac{12}{5}\right)\\= \frac{-14}{3}-\frac{12}{5}\\=\frac{-70}{15}-\frac{36}{15}\\=\frac{-70-36}{15}\\=\frac{-106}{15}\)
4. \(+\left(\frac{8}{3}\right)-\left(\frac{-11}{-10}\right)\\= \frac{8}{3}-\frac{11}{10}\\=\frac{80}{30}-\frac{33}{30}\\=\frac{80-33}{30}\\=\frac{47}{30}\)
5. \(+\left(\frac{-5}{-2}\right)+\left(\frac{8}{-11}\right)\\= \frac{5}{2}-\frac{8}{11}\\=\frac{55}{22}-\frac{16}{22}\\=\frac{55-16}{22}\\=\frac{39}{22}\)
6. \(-\left(\frac{15}{8}\right)-\left(\frac{-3}{-7}\right)\\= \frac{-15}{8}-\frac{3}{7}\\=\frac{-105}{56}-\frac{24}{56}\\=\frac{-105-24}{56}\\=\frac{-129}{56}\)
7. \(+\left(\frac{13}{-14}\right)-\left(\frac{13}{-6}\right)\\= \frac{-13}{14}+\frac{13}{6}\\=\frac{-39}{42}+\frac{91}{42}\\=\frac{-39+91}{42}\\=\frac{52}{42}\\=\frac{26}{21}\)
8. \(+\left(\frac{8}{3}\right)+\left(\frac{-7}{10}\right)\\= \frac{8}{3}-\frac{7}{10}\\=\frac{80}{30}-\frac{21}{30}\\=\frac{80-21}{30}\\=\frac{59}{30}\)
9. \(-\left(\frac{-5}{-11}\right)-\left(\frac{-4}{7}\right)\\= \frac{-5}{11}+\frac{4}{7}\\=\frac{-35}{77}+\frac{44}{77}\\=\frac{-35+44}{77}\\=\frac{9}{77}\)
10. \(-\left(\frac{-2}{-3}\right)-\left(\frac{11}{5}\right)\\= \frac{-2}{3}-\frac{11}{5}\\=\frac{-10}{15}-\frac{33}{15}\\=\frac{-10-33}{15}\\=\frac{-43}{15}\)
11. \(-\left(\frac{-14}{5}\right)+\left(\frac{12}{-5}\right)\\= \frac{14}{5}-\frac{12}{5}\\=\frac{14-12}{5}\\=\frac{2}{5}\)
12. \(+\left(\frac{-13}{-7}\right)+\left(\frac{7}{-8}\right)\\= \frac{13}{7}-\frac{7}{8}\\=\frac{104}{56}-\frac{49}{56}\\=\frac{104-49}{56}\\=\frac{55}{56}\)