Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{13}{-12}\right)-\left(\frac{3}{-13}\right)\\= \frac{-13}{12}+\frac{3}{13}\\=\frac{-169}{156}+\frac{36}{156}\\=\frac{-169+36}{156}\\=\frac{-133}{156}\)
2. \(+\left(\frac{-2}{-7}\right)+\left(\frac{9}{13}\right)\\= \frac{2}{7}+\frac{9}{13}\\=\frac{26}{91}+\frac{63}{91}\\=\frac{26+63}{91}\\=\frac{89}{91}\)
3. \(-\left(\frac{3}{-7}\right)-\left(\frac{-5}{-7}\right)\\= \frac{3}{7}-\frac{5}{7}\\=\frac{3-5}{7}\\=\frac{-2}{7}\)
4. \(+\left(\frac{2}{-3}\right)+\left(\frac{-2}{5}\right)\\= \frac{-2}{3}-\frac{2}{5}\\=\frac{-10}{15}-\frac{6}{15}\\=\frac{-10-6}{15}\\=\frac{-16}{15}\)
5. \(-\left(\frac{4}{-9}\right)-\left(\frac{-9}{-13}\right)\\= \frac{4}{9}-\frac{9}{13}\\=\frac{52}{117}-\frac{81}{117}\\=\frac{52-81}{117}\\=\frac{-29}{117}\)
6. \(-\left(\frac{13}{-14}\right)-\left(\frac{2}{11}\right)\\= \frac{13}{14}-\frac{2}{11}\\=\frac{143}{154}-\frac{28}{154}\\=\frac{143-28}{154}\\=\frac{115}{154}\)
7. \(+\left(\frac{4}{7}\right)-\left(\frac{-10}{-9}\right)\\= \frac{4}{7}-\frac{10}{9}\\=\frac{36}{63}-\frac{70}{63}\\=\frac{36-70}{63}\\=\frac{-34}{63}\)
8. \(-\left(\frac{-8}{11}\right)+\left(\frac{10}{-7}\right)\\= \frac{8}{11}-\frac{10}{7}\\=\frac{56}{77}-\frac{110}{77}\\=\frac{56-110}{77}\\=\frac{-54}{77}\)
9. \(+\left(\frac{14}{5}\right)+\left(\frac{-4}{-9}\right)\\= \frac{14}{5}+\frac{4}{9}\\=\frac{126}{45}+\frac{20}{45}\\=\frac{126+20}{45}\\=\frac{146}{45}\)
10. \(-\left(\frac{-5}{3}\right)+\left(\frac{-7}{2}\right)\\= \frac{5}{3}-\frac{7}{2}\\=\frac{10}{6}-\frac{21}{6}\\=\frac{10-21}{6}\\=\frac{-11}{6}\)
11. \(-\left(\frac{12}{7}\right)+\left(\frac{3}{7}\right)\\= \frac{-12}{7}+\frac{3}{7}\\=\frac{-12+3}{7}\\=\frac{-9}{7}\)
12. \(-\left(\frac{-12}{-11}\right)+\left(\frac{15}{8}\right)\\= \frac{-12}{11}+\frac{15}{8}\\=\frac{-96}{88}+\frac{165}{88}\\=\frac{-96+165}{88}\\=\frac{69}{88}\)