Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-11}{-5}\right)-\left(\frac{13}{-11}\right)\\= \frac{-11}{5}+\frac{13}{11}\\=\frac{-121}{55}+\frac{65}{55}\\=\frac{-121+65}{55}\\=\frac{-56}{55}\)
2. \(+\left(\frac{5}{-3}\right)+\left(\frac{7}{-6}\right)\\= \frac{-5}{3}-\frac{7}{6}\\=\frac{-10}{6}-\frac{7}{6}\\=\frac{-10-7}{6}\\=\frac{-17}{6}\)
3. \(+\left(\frac{-2}{-11}\right)+\left(\frac{-14}{11}\right)\\= \frac{2}{11}-\frac{14}{11}\\=\frac{2-14}{11}\\=\frac{-12}{11}\)
4. \(+\left(\frac{14}{11}\right)-\left(\frac{8}{7}\right)\\= \frac{14}{11}-\frac{8}{7}\\=\frac{98}{77}-\frac{88}{77}\\=\frac{98-88}{77}\\=\frac{10}{77}\)
5. \(-\left(\frac{2}{9}\right)-\left(\frac{7}{13}\right)\\= \frac{-2}{9}-\frac{7}{13}\\=\frac{-26}{117}-\frac{63}{117}\\=\frac{-26-63}{117}\\=\frac{-89}{117}\)
6. \(+\left(\frac{3}{7}\right)-\left(\frac{-12}{13}\right)\\= \frac{3}{7}+\frac{12}{13}\\=\frac{39}{91}+\frac{84}{91}\\=\frac{39+84}{91}\\=\frac{123}{91}\)
7. \(+\left(\frac{7}{4}\right)+\left(\frac{-3}{-10}\right)\\= \frac{7}{4}+\frac{3}{10}\\=\frac{35}{20}+\frac{6}{20}\\=\frac{35+6}{20}\\=\frac{41}{20}\)
8. \(+\left(\frac{6}{-5}\right)-\left(\frac{-6}{-5}\right)\\= \frac{-6}{5}-\frac{6}{5}\\=\frac{-6-6}{5}\\=\frac{-12}{5}\)
9. \(+\left(\frac{-8}{-3}\right)-\left(\frac{-5}{2}\right)\\= \frac{8}{3}+\frac{5}{2}\\=\frac{16}{6}+\frac{15}{6}\\=\frac{16+15}{6}\\=\frac{31}{6}\)
10. \(-\left(\frac{14}{9}\right)-\left(\frac{3}{-4}\right)\\= \frac{-14}{9}+\frac{3}{4}\\=\frac{-56}{36}+\frac{27}{36}\\=\frac{-56+27}{36}\\=\frac{-29}{36}\)
11. \(+\left(\frac{-13}{4}\right)+\left(\frac{-10}{-11}\right)\\= \frac{-13}{4}+\frac{10}{11}\\=\frac{-143}{44}+\frac{40}{44}\\=\frac{-143+40}{44}\\=\frac{-103}{44}\)
12. \(+\left(\frac{15}{2}\right)+\left(\frac{-15}{-14}\right)\\= \frac{15}{2}+\frac{15}{14}\\=\frac{105}{14}+\frac{15}{14}\\=\frac{105+15}{14}\\=\frac{120}{14}\\=\frac{60}{7}\)