Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{9}{4}\right)+\left(\frac{2}{5}\right)\\= \frac{-9}{4}+\frac{2}{5}\\=\frac{-45}{20}+\frac{8}{20}\\=\frac{-45+8}{20}\\=\frac{-37}{20}\)
2. \(-\left(\frac{-9}{-5}\right)-\left(\frac{-4}{11}\right)\\= \frac{-9}{5}+\frac{4}{11}\\=\frac{-99}{55}+\frac{20}{55}\\=\frac{-99+20}{55}\\=\frac{-79}{55}\)
3. \(-\left(\frac{13}{12}\right)+\left(\frac{-9}{-4}\right)\\= \frac{-13}{12}+\frac{9}{4}\\=\frac{-13+9}{12}\\=\frac{-4}{12}\\=\frac{-1}{3}\)
4. \(-\left(\frac{6}{-13}\right)+\left(\frac{10}{-7}\right)\\= \frac{6}{13}-\frac{10}{7}\\=\frac{42}{91}-\frac{130}{91}\\=\frac{42-130}{91}\\=\frac{-88}{91}\)
5. \(-\left(\frac{13}{-5}\right)+\left(\frac{13}{7}\right)\\= \frac{13}{5}+\frac{13}{7}\\=\frac{91}{35}+\frac{65}{35}\\=\frac{91+65}{35}\\=\frac{156}{35}\)
6. \(-\left(\frac{15}{8}\right)-\left(\frac{-13}{-14}\right)\\= \frac{-15}{8}-\frac{13}{14}\\=\frac{-105}{56}-\frac{52}{56}\\=\frac{-105-52}{56}\\=\frac{-157}{56}\)
7. \(-\left(\frac{-15}{-8}\right)+\left(\frac{6}{5}\right)\\= \frac{-15}{8}+\frac{6}{5}\\=\frac{-75}{40}+\frac{48}{40}\\=\frac{-75+48}{40}\\=\frac{-27}{40}\)
8. \(-\left(\frac{13}{-11}\right)+\left(\frac{11}{-14}\right)\\= \frac{13}{11}-\frac{11}{14}\\=\frac{182}{154}-\frac{121}{154}\\=\frac{182-121}{154}\\=\frac{61}{154}\)
9. \(+\left(\frac{5}{-6}\right)+\left(\frac{-8}{11}\right)\\= \frac{-5}{6}-\frac{8}{11}\\=\frac{-55}{66}-\frac{48}{66}\\=\frac{-55-48}{66}\\=\frac{-103}{66}\)
10. \(-\left(\frac{7}{13}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-7}{13}+\frac{6}{5}\\=\frac{-35}{65}+\frac{78}{65}\\=\frac{-35+78}{65}\\=\frac{43}{65}\)
11. \(+\left(\frac{7}{-12}\right)-\left(\frac{5}{-2}\right)\\= \frac{-7}{12}+\frac{5}{2}\\=\frac{-7+5}{12}\\=\frac{-2}{12}\\=\frac{-1}{6}\)
12. \(+\left(\frac{-15}{4}\right)-\left(\frac{6}{7}\right)\\= \frac{-15}{4}-\frac{6}{7}\\=\frac{-105}{28}-\frac{24}{28}\\=\frac{-105-24}{28}\\=\frac{-129}{28}\)