Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-7}{6}\right)+\left(\frac{-14}{-13}\right)\\= \frac{-7}{6}+\frac{14}{13}\\=\frac{-91}{78}+\frac{84}{78}\\=\frac{-91+84}{78}\\=\frac{-7}{78}\)
2. \(-\left(\frac{-15}{-7}\right)-\left(\frac{6}{-5}\right)\\= \frac{-15}{7}+\frac{6}{5}\\=\frac{-75}{35}+\frac{42}{35}\\=\frac{-75+42}{35}\\=\frac{-33}{35}\)
3. \(-\left(\frac{10}{-3}\right)+\left(\frac{3}{8}\right)\\= \frac{10}{3}+\frac{3}{8}\\=\frac{80}{24}+\frac{9}{24}\\=\frac{80+9}{24}\\=\frac{89}{24}\)
4. \(+\left(\frac{6}{-5}\right)-\left(\frac{5}{11}\right)\\= \frac{-6}{5}-\frac{5}{11}\\=\frac{-66}{55}-\frac{25}{55}\\=\frac{-66-25}{55}\\=\frac{-91}{55}\)
5. \(+\left(\frac{4}{13}\right)+\left(\frac{-15}{-7}\right)\\= \frac{4}{13}+\frac{15}{7}\\=\frac{28}{91}+\frac{195}{91}\\=\frac{28+195}{91}\\=\frac{223}{91}\)
6. \(+\left(\frac{15}{-2}\right)+\left(\frac{6}{-13}\right)\\= \frac{-15}{2}-\frac{6}{13}\\=\frac{-195}{26}-\frac{12}{26}\\=\frac{-195-12}{26}\\=\frac{-207}{26}\)
7. \(+\left(\frac{13}{5}\right)-\left(\frac{14}{3}\right)\\= \frac{13}{5}-\frac{14}{3}\\=\frac{39}{15}-\frac{70}{15}\\=\frac{39-70}{15}\\=\frac{-31}{15}\)
8. \(+\left(\frac{-7}{-12}\right)+\left(\frac{4}{-7}\right)\\= \frac{7}{12}-\frac{4}{7}\\=\frac{49}{84}-\frac{48}{84}\\=\frac{49-48}{84}\\=\frac{1}{84}\)
9. \(-\left(\frac{-15}{11}\right)+\left(\frac{15}{-11}\right)\\= \frac{15}{11}-\frac{15}{11}\\=\frac{15-15}{11}\\=\frac{0}{11}\\=\frac{0}{1}\)
10. \(-\left(\frac{5}{-7}\right)-\left(\frac{6}{-11}\right)\\= \frac{5}{7}+\frac{6}{11}\\=\frac{55}{77}+\frac{42}{77}\\=\frac{55+42}{77}\\=\frac{97}{77}\)
11. \(+\left(\frac{13}{8}\right)-\left(\frac{-10}{-3}\right)\\= \frac{13}{8}-\frac{10}{3}\\=\frac{39}{24}-\frac{80}{24}\\=\frac{39-80}{24}\\=\frac{-41}{24}\)
12. \(+\left(\frac{-2}{-3}\right)+\left(\frac{11}{13}\right)\\= \frac{2}{3}+\frac{11}{13}\\=\frac{26}{39}+\frac{33}{39}\\=\frac{26+33}{39}\\=\frac{59}{39}\)