Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{14}{9}\right)+\left(\frac{10}{11}\right)\\= \frac{14}{9}+\frac{10}{11}\\=\frac{154}{99}+\frac{90}{99}\\=\frac{154+90}{99}\\=\frac{244}{99}\)
2. \(+\left(\frac{-8}{-3}\right)+\left(\frac{15}{4}\right)\\= \frac{8}{3}+\frac{15}{4}\\=\frac{32}{12}+\frac{45}{12}\\=\frac{32+45}{12}\\=\frac{77}{12}\)
3. \(-\left(\frac{2}{-3}\right)+\left(\frac{6}{-7}\right)\\= \frac{2}{3}-\frac{6}{7}\\=\frac{14}{21}-\frac{18}{21}\\=\frac{14-18}{21}\\=\frac{-4}{21}\)
4. \(+\left(\frac{-13}{9}\right)+\left(\frac{-4}{11}\right)\\= \frac{-13}{9}-\frac{4}{11}\\=\frac{-143}{99}-\frac{36}{99}\\=\frac{-143-36}{99}\\=\frac{-179}{99}\)
5. \(-\left(\frac{-15}{13}\right)+\left(\frac{2}{3}\right)\\= \frac{15}{13}+\frac{2}{3}\\=\frac{45}{39}+\frac{26}{39}\\=\frac{45+26}{39}\\=\frac{71}{39}\)
6. \(-\left(\frac{-7}{-11}\right)-\left(\frac{9}{10}\right)\\= \frac{-7}{11}-\frac{9}{10}\\=\frac{-70}{110}-\frac{99}{110}\\=\frac{-70-99}{110}\\=\frac{-169}{110}\)
7. \(+\left(\frac{6}{-7}\right)-\left(\frac{5}{-6}\right)\\= \frac{-6}{7}+\frac{5}{6}\\=\frac{-36}{42}+\frac{35}{42}\\=\frac{-36+35}{42}\\=\frac{-1}{42}\)
8. \(-\left(\frac{6}{-13}\right)-\left(\frac{7}{9}\right)\\= \frac{6}{13}-\frac{7}{9}\\=\frac{54}{117}-\frac{91}{117}\\=\frac{54-91}{117}\\=\frac{-37}{117}\)
9. \(-\left(\frac{11}{14}\right)+\left(\frac{14}{9}\right)\\= \frac{-11}{14}+\frac{14}{9}\\=\frac{-99}{126}+\frac{196}{126}\\=\frac{-99+196}{126}\\=\frac{97}{126}\)
10. \(-\left(\frac{15}{7}\right)-\left(\frac{11}{-4}\right)\\= \frac{-15}{7}+\frac{11}{4}\\=\frac{-60}{28}+\frac{77}{28}\\=\frac{-60+77}{28}\\=\frac{17}{28}\)
11. \(-\left(\frac{2}{-13}\right)+\left(\frac{14}{3}\right)\\= \frac{2}{13}+\frac{14}{3}\\=\frac{6}{39}+\frac{182}{39}\\=\frac{6+182}{39}\\=\frac{188}{39}\)
12. \(-\left(\frac{-6}{11}\right)-\left(\frac{11}{-3}\right)\\= \frac{6}{11}+\frac{11}{3}\\=\frac{18}{33}+\frac{121}{33}\\=\frac{18+121}{33}\\=\frac{139}{33}\)