Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{5}\right)-\left(\frac{-6}{-5}\right)\\= \frac{12}{5}-\frac{6}{5}\\=\frac{12-6}{5}\\=\frac{6}{5}\)
2. \(+\left(\frac{11}{-10}\right)+\left(\frac{4}{-11}\right)\\= \frac{-11}{10}-\frac{4}{11}\\=\frac{-121}{110}-\frac{40}{110}\\=\frac{-121-40}{110}\\=\frac{-161}{110}\)
3. \(+\left(\frac{6}{-11}\right)+\left(\frac{-13}{3}\right)\\= \frac{-6}{11}-\frac{13}{3}\\=\frac{-18}{33}-\frac{143}{33}\\=\frac{-18-143}{33}\\=\frac{-161}{33}\)
4. \(-\left(\frac{-7}{-13}\right)-\left(\frac{15}{11}\right)\\= \frac{-7}{13}-\frac{15}{11}\\=\frac{-77}{143}-\frac{195}{143}\\=\frac{-77-195}{143}\\=\frac{-272}{143}\)
5. \(+\left(\frac{-10}{3}\right)+\left(\frac{3}{-7}\right)\\= \frac{-10}{3}-\frac{3}{7}\\=\frac{-70}{21}-\frac{9}{21}\\=\frac{-70-9}{21}\\=\frac{-79}{21}\)
6. \(-\left(\frac{2}{-9}\right)+\left(\frac{13}{4}\right)\\= \frac{2}{9}+\frac{13}{4}\\=\frac{8}{36}+\frac{117}{36}\\=\frac{8+117}{36}\\=\frac{125}{36}\)
7. \(+\left(\frac{10}{7}\right)-\left(\frac{14}{-9}\right)\\= \frac{10}{7}+\frac{14}{9}\\=\frac{90}{63}+\frac{98}{63}\\=\frac{90+98}{63}\\=\frac{188}{63}\)
8. \(+\left(\frac{4}{3}\right)+\left(\frac{-15}{-13}\right)\\= \frac{4}{3}+\frac{15}{13}\\=\frac{52}{39}+\frac{45}{39}\\=\frac{52+45}{39}\\=\frac{97}{39}\)
9. \(-\left(\frac{-4}{7}\right)+\left(\frac{4}{3}\right)\\= \frac{4}{7}+\frac{4}{3}\\=\frac{12}{21}+\frac{28}{21}\\=\frac{12+28}{21}\\=\frac{40}{21}\)
10. \(+\left(\frac{3}{7}\right)-\left(\frac{2}{-7}\right)\\= \frac{3}{7}+\frac{2}{7}\\=\frac{3+2}{7}\\=\frac{5}{7}\)
11. \(+\left(\frac{15}{-4}\right)+\left(\frac{-2}{11}\right)\\= \frac{-15}{4}-\frac{2}{11}\\=\frac{-165}{44}-\frac{8}{44}\\=\frac{-165-8}{44}\\=\frac{-173}{44}\)
12. \(-\left(\frac{-7}{-8}\right)+\left(\frac{-13}{-12}\right)\\= \frac{-7}{8}+\frac{13}{12}\\=\frac{-21}{24}+\frac{26}{24}\\=\frac{-21+26}{24}\\=\frac{5}{24}\)