Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-2}{-5}\right)-\left(\frac{12}{5}\right)\\= \frac{-2}{5}-\frac{12}{5}\\=\frac{-2-12}{5}\\=\frac{-14}{5}\)
2. \(-\left(\frac{10}{11}\right)-\left(\frac{12}{5}\right)\\= \frac{-10}{11}-\frac{12}{5}\\=\frac{-50}{55}-\frac{132}{55}\\=\frac{-50-132}{55}\\=\frac{-182}{55}\)
3. \(+\left(\frac{2}{-9}\right)+\left(\frac{-14}{-3}\right)\\= \frac{-2}{9}+\frac{14}{3}\\=\frac{-2+14}{9}\\=\frac{12}{9}\\=\frac{4}{3}\)
4. \(+\left(\frac{6}{-7}\right)-\left(\frac{3}{14}\right)\\= \frac{-6}{7}-\frac{3}{14}\\=\frac{-12}{14}-\frac{3}{14}\\=\frac{-12-3}{14}\\=\frac{-15}{14}\)
5. \(+\left(\frac{-14}{-13}\right)+\left(\frac{11}{7}\right)\\= \frac{14}{13}+\frac{11}{7}\\=\frac{98}{91}+\frac{143}{91}\\=\frac{98+143}{91}\\=\frac{241}{91}\)
6. \(+\left(\frac{11}{-13}\right)-\left(\frac{-8}{3}\right)\\= \frac{-11}{13}+\frac{8}{3}\\=\frac{-33}{39}+\frac{104}{39}\\=\frac{-33+104}{39}\\=\frac{71}{39}\)
7. \(+\left(\frac{10}{-11}\right)-\left(\frac{-5}{4}\right)\\= \frac{-10}{11}+\frac{5}{4}\\=\frac{-40}{44}+\frac{55}{44}\\=\frac{-40+55}{44}\\=\frac{15}{44}\)
8. \(+\left(\frac{-15}{-2}\right)+\left(\frac{-2}{11}\right)\\= \frac{15}{2}-\frac{2}{11}\\=\frac{165}{22}-\frac{4}{22}\\=\frac{165-4}{22}\\=\frac{161}{22}\)
9. \(-\left(\frac{-13}{-4}\right)-\left(\frac{-5}{-11}\right)\\= \frac{-13}{4}-\frac{5}{11}\\=\frac{-143}{44}-\frac{20}{44}\\=\frac{-143-20}{44}\\=\frac{-163}{44}\)
10. \(+\left(\frac{-14}{13}\right)+\left(\frac{13}{11}\right)\\= \frac{-14}{13}+\frac{13}{11}\\=\frac{-154}{143}+\frac{169}{143}\\=\frac{-154+169}{143}\\=\frac{15}{143}\)
11. \(+\left(\frac{2}{-7}\right)-\left(\frac{-5}{-2}\right)\\= \frac{-2}{7}-\frac{5}{2}\\=\frac{-4}{14}-\frac{35}{14}\\=\frac{-4-35}{14}\\=\frac{-39}{14}\)
12. \(+\left(\frac{2}{3}\right)-\left(\frac{12}{5}\right)\\= \frac{2}{3}-\frac{12}{5}\\=\frac{10}{15}-\frac{36}{15}\\=\frac{10-36}{15}\\=\frac{-26}{15}\)