Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{11}{3}\right)+\left(\frac{6}{-11}\right)\\= \frac{-11}{3}-\frac{6}{11}\\=\frac{-121}{33}-\frac{18}{33}\\=\frac{-121-18}{33}\\=\frac{-139}{33}\)
2. \(+\left(\frac{12}{-13}\right)+\left(\frac{-15}{11}\right)\\= \frac{-12}{13}-\frac{15}{11}\\=\frac{-132}{143}-\frac{195}{143}\\=\frac{-132-195}{143}\\=\frac{-327}{143}\)
3. \(+\left(\frac{13}{8}\right)-\left(\frac{4}{-7}\right)\\= \frac{13}{8}+\frac{4}{7}\\=\frac{91}{56}+\frac{32}{56}\\=\frac{91+32}{56}\\=\frac{123}{56}\)
4. \(-\left(\frac{9}{-10}\right)+\left(\frac{5}{14}\right)\\= \frac{9}{10}+\frac{5}{14}\\=\frac{63}{70}+\frac{25}{70}\\=\frac{63+25}{70}\\=\frac{88}{70}\\=\frac{44}{35}\)
5. \(-\left(\frac{-12}{13}\right)+\left(\frac{-9}{-11}\right)\\= \frac{12}{13}+\frac{9}{11}\\=\frac{132}{143}+\frac{117}{143}\\=\frac{132+117}{143}\\=\frac{249}{143}\)
6. \(-\left(\frac{-3}{2}\right)-\left(\frac{15}{4}\right)\\= \frac{3}{2}-\frac{15}{4}\\=\frac{6}{4}-\frac{15}{4}\\=\frac{6-15}{4}\\=\frac{-9}{4}\)
7. \(-\left(\frac{-5}{12}\right)+\left(\frac{-13}{9}\right)\\= \frac{5}{12}-\frac{13}{9}\\=\frac{15}{36}-\frac{52}{36}\\=\frac{15-52}{36}\\=\frac{-37}{36}\)
8. \(+\left(\frac{3}{11}\right)-\left(\frac{-4}{7}\right)\\= \frac{3}{11}+\frac{4}{7}\\=\frac{21}{77}+\frac{44}{77}\\=\frac{21+44}{77}\\=\frac{65}{77}\)
9. \(+\left(\frac{-5}{8}\right)+\left(\frac{12}{-5}\right)\\= \frac{-5}{8}-\frac{12}{5}\\=\frac{-25}{40}-\frac{96}{40}\\=\frac{-25-96}{40}\\=\frac{-121}{40}\)
10. \(+\left(\frac{2}{-7}\right)-\left(\frac{11}{-7}\right)\\= \frac{-2}{7}+\frac{11}{7}\\=\frac{-2+11}{7}\\=\frac{9}{7}\)
11. \(+\left(\frac{11}{-8}\right)-\left(\frac{9}{2}\right)\\= \frac{-11}{8}-\frac{9}{2}\\=\frac{-11-9}{8}\\=\frac{-20}{8}\\=\frac{-5}{2}\)
12. \(-\left(\frac{-11}{13}\right)+\left(\frac{2}{3}\right)\\= \frac{11}{13}+\frac{2}{3}\\=\frac{33}{39}+\frac{26}{39}\\=\frac{33+26}{39}\\=\frac{59}{39}\)