Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-7}{4}\right)+\left(\frac{-11}{-6}\right)\\= \frac{-7}{4}+\frac{11}{6}\\=\frac{-21}{12}+\frac{22}{12}\\=\frac{-21+22}{12}\\=\frac{1}{12}\)
2. \(+\left(\frac{9}{-13}\right)+\left(\frac{-2}{-13}\right)\\= \frac{-9}{13}+\frac{2}{13}\\=\frac{-9+2}{13}\\=\frac{-7}{13}\)
3. \(+\left(\frac{-15}{4}\right)-\left(\frac{-6}{5}\right)\\= \frac{-15}{4}+\frac{6}{5}\\=\frac{-75}{20}+\frac{24}{20}\\=\frac{-75+24}{20}\\=\frac{-51}{20}\)
4. \(+\left(\frac{-7}{13}\right)+\left(\frac{14}{3}\right)\\= \frac{-7}{13}+\frac{14}{3}\\=\frac{-21}{39}+\frac{182}{39}\\=\frac{-21+182}{39}\\=\frac{161}{39}\)
5. \(+\left(\frac{6}{-13}\right)-\left(\frac{-12}{11}\right)\\= \frac{-6}{13}+\frac{12}{11}\\=\frac{-66}{143}+\frac{156}{143}\\=\frac{-66+156}{143}\\=\frac{90}{143}\)
6. \(-\left(\frac{-5}{2}\right)-\left(\frac{13}{-3}\right)\\= \frac{5}{2}+\frac{13}{3}\\=\frac{15}{6}+\frac{26}{6}\\=\frac{15+26}{6}\\=\frac{41}{6}\)
7. \(+\left(\frac{11}{5}\right)+\left(\frac{-12}{5}\right)\\= \frac{11}{5}-\frac{12}{5}\\=\frac{11-12}{5}\\=\frac{-1}{5}\)
8. \(+\left(\frac{7}{-5}\right)+\left(\frac{3}{-4}\right)\\= \frac{-7}{5}-\frac{3}{4}\\=\frac{-28}{20}-\frac{15}{20}\\=\frac{-28-15}{20}\\=\frac{-43}{20}\)
9. \(-\left(\frac{-7}{-9}\right)-\left(\frac{-7}{-11}\right)\\= \frac{-7}{9}-\frac{7}{11}\\=\frac{-77}{99}-\frac{63}{99}\\=\frac{-77-63}{99}\\=\frac{-140}{99}\)
10. \(+\left(\frac{9}{4}\right)+\left(\frac{-7}{-5}\right)\\= \frac{9}{4}+\frac{7}{5}\\=\frac{45}{20}+\frac{28}{20}\\=\frac{45+28}{20}\\=\frac{73}{20}\)
11. \(-\left(\frac{-13}{11}\right)-\left(\frac{-4}{7}\right)\\= \frac{13}{11}+\frac{4}{7}\\=\frac{91}{77}+\frac{44}{77}\\=\frac{91+44}{77}\\=\frac{135}{77}\)
12. \(+\left(\frac{-3}{14}\right)-\left(\frac{-5}{11}\right)\\= \frac{-3}{14}+\frac{5}{11}\\=\frac{-33}{154}+\frac{70}{154}\\=\frac{-33+70}{154}\\=\frac{37}{154}\)