Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{10}{-3}\right)-\left(\frac{-14}{-3}\right)\\= \frac{10}{3}-\frac{14}{3}\\=\frac{10-14}{3}\\=\frac{-4}{3}\)
2. \(-\left(\frac{-13}{-9}\right)-\left(\frac{9}{-13}\right)\\= \frac{-13}{9}+\frac{9}{13}\\=\frac{-169}{117}+\frac{81}{117}\\=\frac{-169+81}{117}\\=\frac{-88}{117}\)
3. \(+\left(\frac{-13}{-6}\right)+\left(\frac{-13}{8}\right)\\= \frac{13}{6}-\frac{13}{8}\\=\frac{52}{24}-\frac{39}{24}\\=\frac{52-39}{24}\\=\frac{13}{24}\)
4. \(+\left(\frac{5}{-2}\right)-\left(\frac{-9}{5}\right)\\= \frac{-5}{2}+\frac{9}{5}\\=\frac{-25}{10}+\frac{18}{10}\\=\frac{-25+18}{10}\\=\frac{-7}{10}\)
5. \(-\left(\frac{13}{7}\right)+\left(\frac{10}{-3}\right)\\= \frac{-13}{7}-\frac{10}{3}\\=\frac{-39}{21}-\frac{70}{21}\\=\frac{-39-70}{21}\\=\frac{-109}{21}\)
6. \(+\left(\frac{-4}{9}\right)-\left(\frac{8}{-9}\right)\\= \frac{-4}{9}+\frac{8}{9}\\=\frac{-4+8}{9}\\=\frac{4}{9}\)
7. \(-\left(\frac{-11}{14}\right)-\left(\frac{3}{-13}\right)\\= \frac{11}{14}+\frac{3}{13}\\=\frac{143}{182}+\frac{42}{182}\\=\frac{143+42}{182}\\=\frac{185}{182}\)
8. \(-\left(\frac{-5}{8}\right)-\left(\frac{-13}{14}\right)\\= \frac{5}{8}+\frac{13}{14}\\=\frac{35}{56}+\frac{52}{56}\\=\frac{35+52}{56}\\=\frac{87}{56}\)
9. \(+\left(\frac{-15}{-7}\right)+\left(\frac{-11}{13}\right)\\= \frac{15}{7}-\frac{11}{13}\\=\frac{195}{91}-\frac{77}{91}\\=\frac{195-77}{91}\\=\frac{118}{91}\)
10. \(-\left(\frac{13}{4}\right)+\left(\frac{5}{3}\right)\\= \frac{-13}{4}+\frac{5}{3}\\=\frac{-39}{12}+\frac{20}{12}\\=\frac{-39+20}{12}\\=\frac{-19}{12}\)
11. \(-\left(\frac{12}{-11}\right)-\left(\frac{-12}{5}\right)\\= \frac{12}{11}+\frac{12}{5}\\=\frac{60}{55}+\frac{132}{55}\\=\frac{60+132}{55}\\=\frac{192}{55}\)
12. \(+\left(\frac{12}{11}\right)-\left(\frac{15}{11}\right)\\= \frac{12}{11}-\frac{15}{11}\\=\frac{12-15}{11}\\=\frac{-3}{11}\)