Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{-11}\right)-\left(\frac{-13}{-4}\right)\\= \frac{2}{11}-\frac{13}{4}\\=\frac{8}{44}-\frac{143}{44}\\=\frac{8-143}{44}\\=\frac{-135}{44}\)
2. \(+\left(\frac{12}{-7}\right)-\left(\frac{-6}{7}\right)\\= \frac{-12}{7}+\frac{6}{7}\\=\frac{-12+6}{7}\\=\frac{-6}{7}\)
3. \(+\left(\frac{-7}{-4}\right)+\left(\frac{11}{12}\right)\\= \frac{7}{4}+\frac{11}{12}\\=\frac{21}{12}+\frac{11}{12}\\=\frac{21+11}{12}\\=\frac{32}{12}\\=\frac{8}{3}\)
4. \(-\left(\frac{-12}{-5}\right)-\left(\frac{11}{14}\right)\\= \frac{-12}{5}-\frac{11}{14}\\=\frac{-168}{70}-\frac{55}{70}\\=\frac{-168-55}{70}\\=\frac{-223}{70}\)
5. \(+\left(\frac{-4}{-3}\right)+\left(\frac{5}{-11}\right)\\= \frac{4}{3}-\frac{5}{11}\\=\frac{44}{33}-\frac{15}{33}\\=\frac{44-15}{33}\\=\frac{29}{33}\)
6. \(+\left(\frac{9}{2}\right)-\left(\frac{-11}{12}\right)\\= \frac{9}{2}+\frac{11}{12}\\=\frac{54}{12}+\frac{11}{12}\\=\frac{54+11}{12}\\=\frac{65}{12}\)
7. \(-\left(\frac{7}{2}\right)-\left(\frac{15}{-7}\right)\\= \frac{-7}{2}+\frac{15}{7}\\=\frac{-49}{14}+\frac{30}{14}\\=\frac{-49+30}{14}\\=\frac{-19}{14}\)
8. \(-\left(\frac{-11}{-12}\right)+\left(\frac{-14}{-9}\right)\\= \frac{-11}{12}+\frac{14}{9}\\=\frac{-33}{36}+\frac{56}{36}\\=\frac{-33+56}{36}\\=\frac{23}{36}\)
9. \(+\left(\frac{6}{-5}\right)+\left(\frac{-6}{13}\right)\\= \frac{-6}{5}-\frac{6}{13}\\=\frac{-78}{65}-\frac{30}{65}\\=\frac{-78-30}{65}\\=\frac{-108}{65}\)
10. \(+\left(\frac{6}{11}\right)+\left(\frac{7}{-9}\right)\\= \frac{6}{11}-\frac{7}{9}\\=\frac{54}{99}-\frac{77}{99}\\=\frac{54-77}{99}\\=\frac{-23}{99}\)
11. \(+\left(\frac{-6}{-7}\right)+\left(\frac{-5}{-13}\right)\\= \frac{6}{7}+\frac{5}{13}\\=\frac{78}{91}+\frac{35}{91}\\=\frac{78+35}{91}\\=\frac{113}{91}\)
12. \(-\left(\frac{2}{3}\right)+\left(\frac{12}{-13}\right)\\= \frac{-2}{3}-\frac{12}{13}\\=\frac{-26}{39}-\frac{36}{39}\\=\frac{-26-36}{39}\\=\frac{-62}{39}\)