Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-13}{-14}\right)-\left(\frac{15}{-7}\right)\\= \frac{-13}{14}+\frac{15}{7}\\=\frac{-13+15}{14}\\=\frac{2}{14}\\=\frac{1}{7}\)
2. \(-\left(\frac{2}{11}\right)-\left(\frac{-3}{-2}\right)\\= \frac{-2}{11}-\frac{3}{2}\\=\frac{-4}{22}-\frac{33}{22}\\=\frac{-4-33}{22}\\=\frac{-37}{22}\)
3. \(+\left(\frac{-4}{13}\right)-\left(\frac{14}{9}\right)\\= \frac{-4}{13}-\frac{14}{9}\\=\frac{-36}{117}-\frac{182}{117}\\=\frac{-36-182}{117}\\=\frac{-218}{117}\)
4. \(+\left(\frac{8}{13}\right)-\left(\frac{-14}{-9}\right)\\= \frac{8}{13}-\frac{14}{9}\\=\frac{72}{117}-\frac{182}{117}\\=\frac{72-182}{117}\\=\frac{-110}{117}\)
5. \(-\left(\frac{4}{13}\right)+\left(\frac{15}{-7}\right)\\= \frac{-4}{13}-\frac{15}{7}\\=\frac{-28}{91}-\frac{195}{91}\\=\frac{-28-195}{91}\\=\frac{-223}{91}\)
6. \(+\left(\frac{-12}{5}\right)-\left(\frac{5}{-6}\right)\\= \frac{-12}{5}+\frac{5}{6}\\=\frac{-72}{30}+\frac{25}{30}\\=\frac{-72+25}{30}\\=\frac{-47}{30}\)
7. \(+\left(\frac{-4}{9}\right)-\left(\frac{9}{-10}\right)\\= \frac{-4}{9}+\frac{9}{10}\\=\frac{-40}{90}+\frac{81}{90}\\=\frac{-40+81}{90}\\=\frac{41}{90}\)
8. \(-\left(\frac{-15}{-7}\right)-\left(\frac{15}{4}\right)\\= \frac{-15}{7}-\frac{15}{4}\\=\frac{-60}{28}-\frac{105}{28}\\=\frac{-60-105}{28}\\=\frac{-165}{28}\)
9. \(+\left(\frac{7}{-8}\right)-\left(\frac{5}{14}\right)\\= \frac{-7}{8}-\frac{5}{14}\\=\frac{-49}{56}-\frac{20}{56}\\=\frac{-49-20}{56}\\=\frac{-69}{56}\)
10. \(-\left(\frac{-7}{9}\right)-\left(\frac{-12}{5}\right)\\= \frac{7}{9}+\frac{12}{5}\\=\frac{35}{45}+\frac{108}{45}\\=\frac{35+108}{45}\\=\frac{143}{45}\)
11. \(-\left(\frac{-4}{5}\right)+\left(\frac{7}{-13}\right)\\= \frac{4}{5}-\frac{7}{13}\\=\frac{52}{65}-\frac{35}{65}\\=\frac{52-35}{65}\\=\frac{17}{65}\)
12. \(+\left(\frac{12}{5}\right)+\left(\frac{-7}{-8}\right)\\= \frac{12}{5}+\frac{7}{8}\\=\frac{96}{40}+\frac{35}{40}\\=\frac{96+35}{40}\\=\frac{131}{40}\)