Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{4}{-7}\right)-\left(\frac{-3}{-8}\right)\\= \frac{-4}{7}-\frac{3}{8}\\=\frac{-32}{56}-\frac{21}{56}\\=\frac{-32-21}{56}\\=\frac{-53}{56}\)
2. \(-\left(\frac{11}{-10}\right)-\left(\frac{2}{-11}\right)\\= \frac{11}{10}+\frac{2}{11}\\=\frac{121}{110}+\frac{20}{110}\\=\frac{121+20}{110}\\=\frac{141}{110}\)
3. \(+\left(\frac{6}{-5}\right)-\left(\frac{11}{3}\right)\\= \frac{-6}{5}-\frac{11}{3}\\=\frac{-18}{15}-\frac{55}{15}\\=\frac{-18-55}{15}\\=\frac{-73}{15}\)
4. \(+\left(\frac{4}{-7}\right)-\left(\frac{-4}{-11}\right)\\= \frac{-4}{7}-\frac{4}{11}\\=\frac{-44}{77}-\frac{28}{77}\\=\frac{-44-28}{77}\\=\frac{-72}{77}\)
5. \(+\left(\frac{-7}{8}\right)-\left(\frac{-3}{-2}\right)\\= \frac{-7}{8}-\frac{3}{2}\\=\frac{-7-3}{8}\\=\frac{-10}{8}\\=\frac{-5}{4}\)
6. \(-\left(\frac{-12}{7}\right)+\left(\frac{-3}{-10}\right)\\= \frac{12}{7}+\frac{3}{10}\\=\frac{120}{70}+\frac{21}{70}\\=\frac{120+21}{70}\\=\frac{141}{70}\)
7. \(+\left(\frac{8}{13}\right)-\left(\frac{-11}{8}\right)\\= \frac{8}{13}+\frac{11}{8}\\=\frac{64}{104}+\frac{143}{104}\\=\frac{64+143}{104}\\=\frac{207}{104}\)
8. \(-\left(\frac{3}{-4}\right)-\left(\frac{3}{-14}\right)\\= \frac{3}{4}+\frac{3}{14}\\=\frac{21}{28}+\frac{6}{28}\\=\frac{21+6}{28}\\=\frac{27}{28}\)
9. \(-\left(\frac{-7}{-9}\right)+\left(\frac{15}{2}\right)\\= \frac{-7}{9}+\frac{15}{2}\\=\frac{-14}{18}+\frac{135}{18}\\=\frac{-14+135}{18}\\=\frac{121}{18}\)
10. \(-\left(\frac{-10}{11}\right)+\left(\frac{11}{4}\right)\\= \frac{10}{11}+\frac{11}{4}\\=\frac{40}{44}+\frac{121}{44}\\=\frac{40+121}{44}\\=\frac{161}{44}\)
11. \(-\left(\frac{6}{-11}\right)-\left(\frac{-4}{11}\right)\\= \frac{6}{11}+\frac{4}{11}\\=\frac{6+4}{11}\\=\frac{10}{11}\)
12. \(-\left(\frac{-4}{11}\right)-\left(\frac{8}{-11}\right)\\= \frac{4}{11}+\frac{8}{11}\\=\frac{4+8}{11}\\=\frac{12}{11}\)