Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-9}{10}\right)+\left(\frac{-14}{3}\right)\\= \frac{-9}{10}-\frac{14}{3}\\=\frac{-27}{30}-\frac{140}{30}\\=\frac{-27-140}{30}\\=\frac{-167}{30}\)
2. \(+\left(\frac{-11}{13}\right)+\left(\frac{12}{11}\right)\\= \frac{-11}{13}+\frac{12}{11}\\=\frac{-121}{143}+\frac{156}{143}\\=\frac{-121+156}{143}\\=\frac{35}{143}\)
3. \(-\left(\frac{12}{-7}\right)-\left(\frac{-15}{7}\right)\\= \frac{12}{7}+\frac{15}{7}\\=\frac{12+15}{7}\\=\frac{27}{7}\)
4. \(+\left(\frac{4}{-3}\right)-\left(\frac{15}{-2}\right)\\= \frac{-4}{3}+\frac{15}{2}\\=\frac{-8}{6}+\frac{45}{6}\\=\frac{-8+45}{6}\\=\frac{37}{6}\)
5. \(-\left(\frac{-10}{-3}\right)-\left(\frac{-12}{-11}\right)\\= \frac{-10}{3}-\frac{12}{11}\\=\frac{-110}{33}-\frac{36}{33}\\=\frac{-110-36}{33}\\=\frac{-146}{33}\)
6. \(-\left(\frac{2}{7}\right)-\left(\frac{3}{-8}\right)\\= \frac{-2}{7}+\frac{3}{8}\\=\frac{-16}{56}+\frac{21}{56}\\=\frac{-16+21}{56}\\=\frac{5}{56}\)
7. \(-\left(\frac{-7}{3}\right)+\left(\frac{5}{11}\right)\\= \frac{7}{3}+\frac{5}{11}\\=\frac{77}{33}+\frac{15}{33}\\=\frac{77+15}{33}\\=\frac{92}{33}\)
8. \(-\left(\frac{-7}{4}\right)+\left(\frac{-3}{-11}\right)\\= \frac{7}{4}+\frac{3}{11}\\=\frac{77}{44}+\frac{12}{44}\\=\frac{77+12}{44}\\=\frac{89}{44}\)
9. \(+\left(\frac{9}{10}\right)+\left(\frac{-10}{9}\right)\\= \frac{9}{10}-\frac{10}{9}\\=\frac{81}{90}-\frac{100}{90}\\=\frac{81-100}{90}\\=\frac{-19}{90}\)
10. \(+\left(\frac{6}{-13}\right)+\left(\frac{8}{-9}\right)\\= \frac{-6}{13}-\frac{8}{9}\\=\frac{-54}{117}-\frac{104}{117}\\=\frac{-54-104}{117}\\=\frac{-158}{117}\)
11. \(-\left(\frac{-3}{-4}\right)-\left(\frac{12}{-11}\right)\\= \frac{-3}{4}+\frac{12}{11}\\=\frac{-33}{44}+\frac{48}{44}\\=\frac{-33+48}{44}\\=\frac{15}{44}\)
12. \(+\left(\frac{9}{-13}\right)-\left(\frac{3}{-8}\right)\\= \frac{-9}{13}+\frac{3}{8}\\=\frac{-72}{104}+\frac{39}{104}\\=\frac{-72+39}{104}\\=\frac{-33}{104}\)