Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{2}{9}\right)-\left(\frac{-4}{11}\right)\\= \frac{2}{9}+\frac{4}{11}\\=\frac{22}{99}+\frac{36}{99}\\=\frac{22+36}{99}\\=\frac{58}{99}\)
2. \(-\left(\frac{-15}{-11}\right)-\left(\frac{2}{-11}\right)\\= \frac{-15}{11}+\frac{2}{11}\\=\frac{-15+2}{11}\\=\frac{-13}{11}\)
3. \(-\left(\frac{4}{9}\right)+\left(\frac{-6}{-11}\right)\\= \frac{-4}{9}+\frac{6}{11}\\=\frac{-44}{99}+\frac{54}{99}\\=\frac{-44+54}{99}\\=\frac{10}{99}\)
4. \(+\left(\frac{-11}{-2}\right)+\left(\frac{14}{5}\right)\\= \frac{11}{2}+\frac{14}{5}\\=\frac{55}{10}+\frac{28}{10}\\=\frac{55+28}{10}\\=\frac{83}{10}\)
5. \(-\left(\frac{-10}{7}\right)-\left(\frac{9}{-14}\right)\\= \frac{10}{7}+\frac{9}{14}\\=\frac{20}{14}+\frac{9}{14}\\=\frac{20+9}{14}\\=\frac{29}{14}\)
6. \(-\left(\frac{-4}{9}\right)+\left(\frac{4}{-13}\right)\\= \frac{4}{9}-\frac{4}{13}\\=\frac{52}{117}-\frac{36}{117}\\=\frac{52-36}{117}\\=\frac{16}{117}\)
7. \(-\left(\frac{7}{8}\right)-\left(\frac{4}{-3}\right)\\= \frac{-7}{8}+\frac{4}{3}\\=\frac{-21}{24}+\frac{32}{24}\\=\frac{-21+32}{24}\\=\frac{11}{24}\)
8. \(-\left(\frac{4}{7}\right)-\left(\frac{-11}{8}\right)\\= \frac{-4}{7}+\frac{11}{8}\\=\frac{-32}{56}+\frac{77}{56}\\=\frac{-32+77}{56}\\=\frac{45}{56}\)
9. \(-\left(\frac{4}{7}\right)+\left(\frac{2}{-5}\right)\\= \frac{-4}{7}-\frac{2}{5}\\=\frac{-20}{35}-\frac{14}{35}\\=\frac{-20-14}{35}\\=\frac{-34}{35}\)
10. \(-\left(\frac{-5}{14}\right)+\left(\frac{-15}{-4}\right)\\= \frac{5}{14}+\frac{15}{4}\\=\frac{10}{28}+\frac{105}{28}\\=\frac{10+105}{28}\\=\frac{115}{28}\)
11. \(-\left(\frac{3}{10}\right)+\left(\frac{12}{5}\right)\\= \frac{-3}{10}+\frac{12}{5}\\=\frac{-3+12}{10}\\=\frac{9}{10}\)
12. \(-\left(\frac{7}{8}\right)+\left(\frac{11}{14}\right)\\= \frac{-7}{8}+\frac{11}{14}\\=\frac{-49}{56}+\frac{44}{56}\\=\frac{-49+44}{56}\\=\frac{-5}{56}\)