Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{15}{11}\right)+\left(\frac{11}{9}\right)\\= \frac{15}{11}+\frac{11}{9}\\=\frac{135}{99}+\frac{121}{99}\\=\frac{135+121}{99}\\=\frac{256}{99}\)
2. \(-\left(\frac{-6}{7}\right)+\left(\frac{7}{5}\right)\\= \frac{6}{7}+\frac{7}{5}\\=\frac{30}{35}+\frac{49}{35}\\=\frac{30+49}{35}\\=\frac{79}{35}\)
3. \(+\left(\frac{4}{-11}\right)+\left(\frac{6}{7}\right)\\= \frac{-4}{11}+\frac{6}{7}\\=\frac{-28}{77}+\frac{66}{77}\\=\frac{-28+66}{77}\\=\frac{38}{77}\)
4. \(+\left(\frac{8}{3}\right)+\left(\frac{-8}{-13}\right)\\= \frac{8}{3}+\frac{8}{13}\\=\frac{104}{39}+\frac{24}{39}\\=\frac{104+24}{39}\\=\frac{128}{39}\)
5. \(+\left(\frac{8}{7}\right)+\left(\frac{11}{-7}\right)\\= \frac{8}{7}-\frac{11}{7}\\=\frac{8-11}{7}\\=\frac{-3}{7}\)
6. \(-\left(\frac{-7}{8}\right)+\left(\frac{-6}{5}\right)\\= \frac{7}{8}-\frac{6}{5}\\=\frac{35}{40}-\frac{48}{40}\\=\frac{35-48}{40}\\=\frac{-13}{40}\)
7. \(+\left(\frac{-7}{-9}\right)-\left(\frac{-5}{2}\right)\\= \frac{7}{9}+\frac{5}{2}\\=\frac{14}{18}+\frac{45}{18}\\=\frac{14+45}{18}\\=\frac{59}{18}\)
8. \(-\left(\frac{15}{13}\right)+\left(\frac{6}{5}\right)\\= \frac{-15}{13}+\frac{6}{5}\\=\frac{-75}{65}+\frac{78}{65}\\=\frac{-75+78}{65}\\=\frac{3}{65}\)
9. \(-\left(\frac{11}{8}\right)+\left(\frac{11}{8}\right)\\= \frac{-11}{8}+\frac{11}{8}\\=\frac{-11+11}{8}\\=\frac{0}{8}\\=\frac{0}{1}\)
10. \(-\left(\frac{-9}{-8}\right)+\left(\frac{-8}{-3}\right)\\= \frac{-9}{8}+\frac{8}{3}\\=\frac{-27}{24}+\frac{64}{24}\\=\frac{-27+64}{24}\\=\frac{37}{24}\)
11. \(+\left(\frac{-13}{9}\right)-\left(\frac{8}{3}\right)\\= \frac{-13}{9}-\frac{8}{3}\\=\frac{-13-8}{9}\\=\frac{-21}{9}\\=\frac{-7}{3}\)
12. \(+\left(\frac{-8}{-7}\right)+\left(\frac{10}{-11}\right)\\= \frac{8}{7}-\frac{10}{11}\\=\frac{88}{77}-\frac{70}{77}\\=\frac{88-70}{77}\\=\frac{18}{77}\)