Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{4}{13}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-4}{13}+\frac{6}{5}\\=\frac{-20}{65}+\frac{78}{65}\\=\frac{-20+78}{65}\\=\frac{58}{65}\)
2. \(-\left(\frac{6}{-11}\right)+\left(\frac{12}{5}\right)\\= \frac{6}{11}+\frac{12}{5}\\=\frac{30}{55}+\frac{132}{55}\\=\frac{30+132}{55}\\=\frac{162}{55}\)
3. \(-\left(\frac{-14}{-9}\right)+\left(\frac{-10}{11}\right)\\= \frac{-14}{9}-\frac{10}{11}\\=\frac{-154}{99}-\frac{90}{99}\\=\frac{-154-90}{99}\\=\frac{-244}{99}\)
4. \(+\left(\frac{-11}{-9}\right)-\left(\frac{8}{-3}\right)\\= \frac{11}{9}+\frac{8}{3}\\=\frac{11+8}{9}\\=\frac{19}{9}\)
5. \(-\left(\frac{-12}{-7}\right)+\left(\frac{-5}{-3}\right)\\= \frac{-12}{7}+\frac{5}{3}\\=\frac{-36}{21}+\frac{35}{21}\\=\frac{-36+35}{21}\\=\frac{-1}{21}\)
6. \(-\left(\frac{13}{10}\right)+\left(\frac{6}{-7}\right)\\= \frac{-13}{10}-\frac{6}{7}\\=\frac{-91}{70}-\frac{60}{70}\\=\frac{-91-60}{70}\\=\frac{-151}{70}\)
7. \(-\left(\frac{3}{-7}\right)+\left(\frac{-5}{11}\right)\\= \frac{3}{7}-\frac{5}{11}\\=\frac{33}{77}-\frac{35}{77}\\=\frac{33-35}{77}\\=\frac{-2}{77}\)
8. \(-\left(\frac{-2}{-11}\right)+\left(\frac{-10}{7}\right)\\= \frac{-2}{11}-\frac{10}{7}\\=\frac{-14}{77}-\frac{110}{77}\\=\frac{-14-110}{77}\\=\frac{-124}{77}\)
9. \(+\left(\frac{12}{-5}\right)-\left(\frac{-5}{14}\right)\\= \frac{-12}{5}+\frac{5}{14}\\=\frac{-168}{70}+\frac{25}{70}\\=\frac{-168+25}{70}\\=\frac{-143}{70}\)
10. \(-\left(\frac{5}{-11}\right)-\left(\frac{15}{-2}\right)\\= \frac{5}{11}+\frac{15}{2}\\=\frac{10}{22}+\frac{165}{22}\\=\frac{10+165}{22}\\=\frac{175}{22}\)
11. \(-\left(\frac{-3}{2}\right)-\left(\frac{8}{-13}\right)\\= \frac{3}{2}+\frac{8}{13}\\=\frac{39}{26}+\frac{16}{26}\\=\frac{39+16}{26}\\=\frac{55}{26}\)
12. \(-\left(\frac{-4}{3}\right)+\left(\frac{2}{-3}\right)\\= \frac{4}{3}-\frac{2}{3}\\=\frac{4-2}{3}\\=\frac{2}{3}\)