Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{6}{-13}\right)+\left(\frac{-4}{13}\right)\\= \frac{6}{13}-\frac{4}{13}\\=\frac{6-4}{13}\\=\frac{2}{13}\)
2. \(-\left(\frac{-8}{-11}\right)+\left(\frac{-11}{-5}\right)\\= \frac{-8}{11}+\frac{11}{5}\\=\frac{-40}{55}+\frac{121}{55}\\=\frac{-40+121}{55}\\=\frac{81}{55}\)
3. \(+\left(\frac{9}{-2}\right)+\left(\frac{-3}{-11}\right)\\= \frac{-9}{2}+\frac{3}{11}\\=\frac{-99}{22}+\frac{6}{22}\\=\frac{-99+6}{22}\\=\frac{-93}{22}\)
4. \(+\left(\frac{-7}{-11}\right)+\left(\frac{8}{3}\right)\\= \frac{7}{11}+\frac{8}{3}\\=\frac{21}{33}+\frac{88}{33}\\=\frac{21+88}{33}\\=\frac{109}{33}\)
5. \(+\left(\frac{8}{9}\right)-\left(\frac{13}{-11}\right)\\= \frac{8}{9}+\frac{13}{11}\\=\frac{88}{99}+\frac{117}{99}\\=\frac{88+117}{99}\\=\frac{205}{99}\)
6. \(+\left(\frac{-9}{14}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-9}{14}+\frac{12}{5}\\=\frac{-45}{70}+\frac{168}{70}\\=\frac{-45+168}{70}\\=\frac{123}{70}\)
7. \(+\left(\frac{15}{2}\right)+\left(\frac{13}{8}\right)\\= \frac{15}{2}+\frac{13}{8}\\=\frac{60}{8}+\frac{13}{8}\\=\frac{60+13}{8}\\=\frac{73}{8}\)
8. \(-\left(\frac{-10}{-11}\right)-\left(\frac{-5}{-11}\right)\\= \frac{-10}{11}-\frac{5}{11}\\=\frac{-10-5}{11}\\=\frac{-15}{11}\)
9. \(+\left(\frac{7}{-4}\right)-\left(\frac{-7}{5}\right)\\= \frac{-7}{4}+\frac{7}{5}\\=\frac{-35}{20}+\frac{28}{20}\\=\frac{-35+28}{20}\\=\frac{-7}{20}\)
10. \(+\left(\frac{-3}{14}\right)-\left(\frac{-2}{9}\right)\\= \frac{-3}{14}+\frac{2}{9}\\=\frac{-27}{126}+\frac{28}{126}\\=\frac{-27+28}{126}\\=\frac{1}{126}\)
11. \(-\left(\frac{8}{-13}\right)-\left(\frac{-3}{11}\right)\\= \frac{8}{13}+\frac{3}{11}\\=\frac{88}{143}+\frac{39}{143}\\=\frac{88+39}{143}\\=\frac{127}{143}\)
12. \(+\left(\frac{-3}{-11}\right)+\left(\frac{-13}{2}\right)\\= \frac{3}{11}-\frac{13}{2}\\=\frac{6}{22}-\frac{143}{22}\\=\frac{6-143}{22}\\=\frac{-137}{22}\)