Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-5}{-2}\right)+\left(\frac{-2}{-5}\right)\\= \frac{-5}{2}+\frac{2}{5}\\=\frac{-25}{10}+\frac{4}{10}\\=\frac{-25+4}{10}\\=\frac{-21}{10}\)
2. \(+\left(\frac{-6}{-11}\right)-\left(\frac{9}{2}\right)\\= \frac{6}{11}-\frac{9}{2}\\=\frac{12}{22}-\frac{99}{22}\\=\frac{12-99}{22}\\=\frac{-87}{22}\)
3. \(+\left(\frac{14}{-9}\right)+\left(\frac{-5}{-4}\right)\\= \frac{-14}{9}+\frac{5}{4}\\=\frac{-56}{36}+\frac{45}{36}\\=\frac{-56+45}{36}\\=\frac{-11}{36}\)
4. \(+\left(\frac{13}{-12}\right)-\left(\frac{-6}{-5}\right)\\= \frac{-13}{12}-\frac{6}{5}\\=\frac{-65}{60}-\frac{72}{60}\\=\frac{-65-72}{60}\\=\frac{-137}{60}\)
5. \(-\left(\frac{-9}{10}\right)-\left(\frac{-5}{-14}\right)\\= \frac{9}{10}-\frac{5}{14}\\=\frac{63}{70}-\frac{25}{70}\\=\frac{63-25}{70}\\=\frac{38}{70}\\=\frac{19}{35}\)
6. \(-\left(\frac{-14}{13}\right)-\left(\frac{-15}{11}\right)\\= \frac{14}{13}+\frac{15}{11}\\=\frac{154}{143}+\frac{195}{143}\\=\frac{154+195}{143}\\=\frac{349}{143}\)
7. \(+\left(\frac{-12}{11}\right)-\left(\frac{12}{11}\right)\\= \frac{-12}{11}-\frac{12}{11}\\=\frac{-12-12}{11}\\=\frac{-24}{11}\)
8. \(-\left(\frac{-3}{5}\right)+\left(\frac{-5}{6}\right)\\= \frac{3}{5}-\frac{5}{6}\\=\frac{18}{30}-\frac{25}{30}\\=\frac{18-25}{30}\\=\frac{-7}{30}\)
9. \(+\left(\frac{-10}{7}\right)+\left(\frac{8}{-3}\right)\\= \frac{-10}{7}-\frac{8}{3}\\=\frac{-30}{21}-\frac{56}{21}\\=\frac{-30-56}{21}\\=\frac{-86}{21}\)
10. \(+\left(\frac{15}{-7}\right)+\left(\frac{-3}{-2}\right)\\= \frac{-15}{7}+\frac{3}{2}\\=\frac{-30}{14}+\frac{21}{14}\\=\frac{-30+21}{14}\\=\frac{-9}{14}\)
11. \(+\left(\frac{11}{-9}\right)-\left(\frac{5}{6}\right)\\= \frac{-11}{9}-\frac{5}{6}\\=\frac{-22}{18}-\frac{15}{18}\\=\frac{-22-15}{18}\\=\frac{-37}{18}\)
12. \(-\left(\frac{9}{13}\right)+\left(\frac{-13}{6}\right)\\= \frac{-9}{13}-\frac{13}{6}\\=\frac{-54}{78}-\frac{169}{78}\\=\frac{-54-169}{78}\\=\frac{-223}{78}\)