Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{13}{-12}\right)-\left(\frac{6}{-5}\right)\\= \frac{13}{12}+\frac{6}{5}\\=\frac{65}{60}+\frac{72}{60}\\=\frac{65+72}{60}\\=\frac{137}{60}\)
2. \(+\left(\frac{-5}{7}\right)+\left(\frac{-14}{3}\right)\\= \frac{-5}{7}-\frac{14}{3}\\=\frac{-15}{21}-\frac{98}{21}\\=\frac{-15-98}{21}\\=\frac{-113}{21}\)
3. \(-\left(\frac{-14}{-3}\right)+\left(\frac{3}{-13}\right)\\= \frac{-14}{3}-\frac{3}{13}\\=\frac{-182}{39}-\frac{9}{39}\\=\frac{-182-9}{39}\\=\frac{-191}{39}\)
4. \(-\left(\frac{11}{12}\right)+\left(\frac{-2}{-7}\right)\\= \frac{-11}{12}+\frac{2}{7}\\=\frac{-77}{84}+\frac{24}{84}\\=\frac{-77+24}{84}\\=\frac{-53}{84}\)
5. \(+\left(\frac{13}{-10}\right)+\left(\frac{-15}{14}\right)\\= \frac{-13}{10}-\frac{15}{14}\\=\frac{-91}{70}-\frac{75}{70}\\=\frac{-91-75}{70}\\=\frac{-166}{70}\\=\frac{-83}{35}\)
6. \(-\left(\frac{4}{5}\right)+\left(\frac{-10}{-7}\right)\\= \frac{-4}{5}+\frac{10}{7}\\=\frac{-28}{35}+\frac{50}{35}\\=\frac{-28+50}{35}\\=\frac{22}{35}\)
7. \(+\left(\frac{-4}{-5}\right)+\left(\frac{-13}{-11}\right)\\= \frac{4}{5}+\frac{13}{11}\\=\frac{44}{55}+\frac{65}{55}\\=\frac{44+65}{55}\\=\frac{109}{55}\)
8. \(+\left(\frac{-4}{3}\right)-\left(\frac{15}{-8}\right)\\= \frac{-4}{3}+\frac{15}{8}\\=\frac{-32}{24}+\frac{45}{24}\\=\frac{-32+45}{24}\\=\frac{13}{24}\)
9. \(-\left(\frac{4}{3}\right)-\left(\frac{13}{-6}\right)\\= \frac{-4}{3}+\frac{13}{6}\\=\frac{-8}{6}+\frac{13}{6}\\=\frac{-8+13}{6}\\=\frac{5}{6}\)
10. \(-\left(\frac{-6}{-5}\right)+\left(\frac{12}{5}\right)\\= \frac{-6}{5}+\frac{12}{5}\\=\frac{-6+12}{5}\\=\frac{6}{5}\)
11. \(-\left(\frac{13}{12}\right)-\left(\frac{14}{-5}\right)\\= \frac{-13}{12}+\frac{14}{5}\\=\frac{-65}{60}+\frac{168}{60}\\=\frac{-65+168}{60}\\=\frac{103}{60}\)
12. \(+\left(\frac{5}{13}\right)+\left(\frac{-2}{-3}\right)\\= \frac{5}{13}+\frac{2}{3}\\=\frac{15}{39}+\frac{26}{39}\\=\frac{15+26}{39}\\=\frac{41}{39}\)