Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-15}{8}\right)+\left(\frac{11}{-4}\right)\\= \frac{-15}{8}-\frac{11}{4}\\=\frac{-15-11}{8}\\=\frac{-26}{8}\\=\frac{-13}{4}\)
2. \(-\left(\frac{10}{7}\right)-\left(\frac{13}{9}\right)\\= \frac{-10}{7}-\frac{13}{9}\\=\frac{-90}{63}-\frac{91}{63}\\=\frac{-90-91}{63}\\=\frac{-181}{63}\)
3. \(+\left(\frac{13}{9}\right)+\left(\frac{-11}{-12}\right)\\= \frac{13}{9}+\frac{11}{12}\\=\frac{52}{36}+\frac{33}{36}\\=\frac{52+33}{36}\\=\frac{85}{36}\)
4. \(+\left(\frac{-10}{-11}\right)+\left(\frac{3}{-7}\right)\\= \frac{10}{11}-\frac{3}{7}\\=\frac{70}{77}-\frac{33}{77}\\=\frac{70-33}{77}\\=\frac{37}{77}\)
5. \(-\left(\frac{11}{-4}\right)-\left(\frac{3}{-13}\right)\\= \frac{11}{4}+\frac{3}{13}\\=\frac{143}{52}+\frac{12}{52}\\=\frac{143+12}{52}\\=\frac{155}{52}\)
6. \(+\left(\frac{7}{-10}\right)-\left(\frac{7}{-13}\right)\\= \frac{-7}{10}+\frac{7}{13}\\=\frac{-91}{130}+\frac{70}{130}\\=\frac{-91+70}{130}\\=\frac{-21}{130}\)
7. \(+\left(\frac{-5}{4}\right)+\left(\frac{-6}{11}\right)\\= \frac{-5}{4}-\frac{6}{11}\\=\frac{-55}{44}-\frac{24}{44}\\=\frac{-55-24}{44}\\=\frac{-79}{44}\)
8. \(-\left(\frac{2}{-11}\right)+\left(\frac{7}{9}\right)\\= \frac{2}{11}+\frac{7}{9}\\=\frac{18}{99}+\frac{77}{99}\\=\frac{18+77}{99}\\=\frac{95}{99}\)
9. \(+\left(\frac{-6}{11}\right)+\left(\frac{2}{-5}\right)\\= \frac{-6}{11}-\frac{2}{5}\\=\frac{-30}{55}-\frac{22}{55}\\=\frac{-30-22}{55}\\=\frac{-52}{55}\)
10. \(-\left(\frac{-6}{-5}\right)+\left(\frac{-12}{7}\right)\\= \frac{-6}{5}-\frac{12}{7}\\=\frac{-42}{35}-\frac{60}{35}\\=\frac{-42-60}{35}\\=\frac{-102}{35}\)
11. \(-\left(\frac{10}{9}\right)+\left(\frac{10}{-11}\right)\\= \frac{-10}{9}-\frac{10}{11}\\=\frac{-110}{99}-\frac{90}{99}\\=\frac{-110-90}{99}\\=\frac{-200}{99}\)
12. \(-\left(\frac{-5}{-2}\right)-\left(\frac{12}{-5}\right)\\= \frac{-5}{2}+\frac{12}{5}\\=\frac{-25}{10}+\frac{24}{10}\\=\frac{-25+24}{10}\\=\frac{-1}{10}\)