Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{4}{-9}\right)-\left(\frac{12}{13}\right)\\= \frac{4}{9}-\frac{12}{13}\\=\frac{52}{117}-\frac{108}{117}\\=\frac{52-108}{117}\\=\frac{-56}{117}\)
2. \(-\left(\frac{2}{-3}\right)+\left(\frac{4}{-3}\right)\\= \frac{2}{3}-\frac{4}{3}\\=\frac{2-4}{3}\\=\frac{-2}{3}\)
3. \(-\left(\frac{15}{-7}\right)-\left(\frac{15}{13}\right)\\= \frac{15}{7}-\frac{15}{13}\\=\frac{195}{91}-\frac{105}{91}\\=\frac{195-105}{91}\\=\frac{90}{91}\)
4. \(-\left(\frac{-9}{-14}\right)+\left(\frac{15}{-13}\right)\\= \frac{-9}{14}-\frac{15}{13}\\=\frac{-117}{182}-\frac{210}{182}\\=\frac{-117-210}{182}\\=\frac{-327}{182}\)
5. \(+\left(\frac{13}{-4}\right)+\left(\frac{-14}{11}\right)\\= \frac{-13}{4}-\frac{14}{11}\\=\frac{-143}{44}-\frac{56}{44}\\=\frac{-143-56}{44}\\=\frac{-199}{44}\)
6. \(+\left(\frac{-4}{11}\right)+\left(\frac{-5}{4}\right)\\= \frac{-4}{11}-\frac{5}{4}\\=\frac{-16}{44}-\frac{55}{44}\\=\frac{-16-55}{44}\\=\frac{-71}{44}\)
7. \(-\left(\frac{-6}{-5}\right)-\left(\frac{7}{-8}\right)\\= \frac{-6}{5}+\frac{7}{8}\\=\frac{-48}{40}+\frac{35}{40}\\=\frac{-48+35}{40}\\=\frac{-13}{40}\)
8. \(-\left(\frac{14}{-13}\right)-\left(\frac{-14}{-11}\right)\\= \frac{14}{13}-\frac{14}{11}\\=\frac{154}{143}-\frac{182}{143}\\=\frac{154-182}{143}\\=\frac{-28}{143}\)
9. \(-\left(\frac{10}{13}\right)-\left(\frac{12}{5}\right)\\= \frac{-10}{13}-\frac{12}{5}\\=\frac{-50}{65}-\frac{156}{65}\\=\frac{-50-156}{65}\\=\frac{-206}{65}\)
10. \(+\left(\frac{-11}{13}\right)-\left(\frac{-3}{-5}\right)\\= \frac{-11}{13}-\frac{3}{5}\\=\frac{-55}{65}-\frac{39}{65}\\=\frac{-55-39}{65}\\=\frac{-94}{65}\)
11. \(+\left(\frac{-6}{7}\right)-\left(\frac{-2}{-3}\right)\\= \frac{-6}{7}-\frac{2}{3}\\=\frac{-18}{21}-\frac{14}{21}\\=\frac{-18-14}{21}\\=\frac{-32}{21}\)
12. \(-\left(\frac{14}{-3}\right)-\left(\frac{14}{-3}\right)\\= \frac{14}{3}+\frac{14}{3}\\=\frac{14+14}{3}\\=\frac{28}{3}\)