Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-13}{-14}\right)+\left(\frac{-11}{12}\right)\\= \frac{-13}{14}-\frac{11}{12}\\=\frac{-78}{84}-\frac{77}{84}\\=\frac{-78-77}{84}\\=\frac{-155}{84}\)
2. \(-\left(\frac{2}{-7}\right)+\left(\frac{4}{13}\right)\\= \frac{2}{7}+\frac{4}{13}\\=\frac{26}{91}+\frac{28}{91}\\=\frac{26+28}{91}\\=\frac{54}{91}\)
3. \(+\left(\frac{12}{13}\right)+\left(\frac{-14}{-11}\right)\\= \frac{12}{13}+\frac{14}{11}\\=\frac{132}{143}+\frac{182}{143}\\=\frac{132+182}{143}\\=\frac{314}{143}\)
4. \(-\left(\frac{-3}{4}\right)+\left(\frac{-6}{11}\right)\\= \frac{3}{4}-\frac{6}{11}\\=\frac{33}{44}-\frac{24}{44}\\=\frac{33-24}{44}\\=\frac{9}{44}\)
5. \(-\left(\frac{13}{14}\right)+\left(\frac{15}{4}\right)\\= \frac{-13}{14}+\frac{15}{4}\\=\frac{-26}{28}+\frac{105}{28}\\=\frac{-26+105}{28}\\=\frac{79}{28}\)
6. \(-\left(\frac{8}{-3}\right)+\left(\frac{-7}{-4}\right)\\= \frac{8}{3}+\frac{7}{4}\\=\frac{32}{12}+\frac{21}{12}\\=\frac{32+21}{12}\\=\frac{53}{12}\)
7. \(+\left(\frac{-5}{7}\right)-\left(\frac{-12}{-13}\right)\\= \frac{-5}{7}-\frac{12}{13}\\=\frac{-65}{91}-\frac{84}{91}\\=\frac{-65-84}{91}\\=\frac{-149}{91}\)
8. \(+\left(\frac{-14}{5}\right)-\left(\frac{-8}{-7}\right)\\= \frac{-14}{5}-\frac{8}{7}\\=\frac{-98}{35}-\frac{40}{35}\\=\frac{-98-40}{35}\\=\frac{-138}{35}\)
9. \(+\left(\frac{3}{-8}\right)+\left(\frac{7}{-13}\right)\\= \frac{-3}{8}-\frac{7}{13}\\=\frac{-39}{104}-\frac{56}{104}\\=\frac{-39-56}{104}\\=\frac{-95}{104}\)
10. \(+\left(\frac{-15}{4}\right)-\left(\frac{-9}{14}\right)\\= \frac{-15}{4}+\frac{9}{14}\\=\frac{-105}{28}+\frac{18}{28}\\=\frac{-105+18}{28}\\=\frac{-87}{28}\)
11. \(-\left(\frac{-9}{2}\right)-\left(\frac{9}{-4}\right)\\= \frac{9}{2}+\frac{9}{4}\\=\frac{18}{4}+\frac{9}{4}\\=\frac{18+9}{4}\\=\frac{27}{4}\)
12. \(+\left(\frac{-14}{9}\right)-\left(\frac{11}{-3}\right)\\= \frac{-14}{9}+\frac{11}{3}\\=\frac{-14+11}{9}\\=\frac{-3}{9}\\=\frac{-1}{3}\)