Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-5}{-3}\right)-\left(\frac{2}{11}\right)\\= \frac{-5}{3}-\frac{2}{11}\\=\frac{-55}{33}-\frac{6}{33}\\=\frac{-55-6}{33}\\=\frac{-61}{33}\)
2. \(+\left(\frac{4}{3}\right)-\left(\frac{-6}{-11}\right)\\= \frac{4}{3}-\frac{6}{11}\\=\frac{44}{33}-\frac{18}{33}\\=\frac{44-18}{33}\\=\frac{26}{33}\)
3. \(+\left(\frac{-13}{2}\right)-\left(\frac{-7}{-3}\right)\\= \frac{-13}{2}-\frac{7}{3}\\=\frac{-39}{6}-\frac{14}{6}\\=\frac{-39-14}{6}\\=\frac{-53}{6}\)
4. \(+\left(\frac{12}{-7}\right)-\left(\frac{11}{-14}\right)\\= \frac{-12}{7}+\frac{11}{14}\\=\frac{-24}{14}+\frac{11}{14}\\=\frac{-24+11}{14}\\=\frac{-13}{14}\)
5. \(-\left(\frac{14}{9}\right)-\left(\frac{-7}{10}\right)\\= \frac{-14}{9}+\frac{7}{10}\\=\frac{-140}{90}+\frac{63}{90}\\=\frac{-140+63}{90}\\=\frac{-77}{90}\)
6. \(-\left(\frac{10}{-3}\right)-\left(\frac{-11}{-2}\right)\\= \frac{10}{3}-\frac{11}{2}\\=\frac{20}{6}-\frac{33}{6}\\=\frac{20-33}{6}\\=\frac{-13}{6}\)
7. \(-\left(\frac{12}{7}\right)-\left(\frac{-4}{5}\right)\\= \frac{-12}{7}+\frac{4}{5}\\=\frac{-60}{35}+\frac{28}{35}\\=\frac{-60+28}{35}\\=\frac{-32}{35}\)
8. \(-\left(\frac{8}{-7}\right)+\left(\frac{-8}{-3}\right)\\= \frac{8}{7}+\frac{8}{3}\\=\frac{24}{21}+\frac{56}{21}\\=\frac{24+56}{21}\\=\frac{80}{21}\)
9. \(-\left(\frac{4}{7}\right)+\left(\frac{2}{-11}\right)\\= \frac{-4}{7}-\frac{2}{11}\\=\frac{-44}{77}-\frac{14}{77}\\=\frac{-44-14}{77}\\=\frac{-58}{77}\)
10. \(-\left(\frac{-2}{-9}\right)+\left(\frac{13}{2}\right)\\= \frac{-2}{9}+\frac{13}{2}\\=\frac{-4}{18}+\frac{117}{18}\\=\frac{-4+117}{18}\\=\frac{113}{18}\)
11. \(-\left(\frac{-8}{7}\right)-\left(\frac{-15}{-13}\right)\\= \frac{8}{7}-\frac{15}{13}\\=\frac{104}{91}-\frac{105}{91}\\=\frac{104-105}{91}\\=\frac{-1}{91}\)
12. \(+\left(\frac{-13}{4}\right)-\left(\frac{-13}{-5}\right)\\= \frac{-13}{4}-\frac{13}{5}\\=\frac{-65}{20}-\frac{52}{20}\\=\frac{-65-52}{20}\\=\frac{-117}{20}\)