Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{8}{-13}\right)+\left(\frac{-8}{11}\right)\\= \frac{8}{13}-\frac{8}{11}\\=\frac{88}{143}-\frac{104}{143}\\=\frac{88-104}{143}\\=\frac{-16}{143}\)
2. \(-\left(\frac{11}{-2}\right)-\left(\frac{-9}{2}\right)\\= \frac{11}{2}+\frac{9}{2}\\=\frac{11+9}{2}\\=\frac{20}{2}\\=\frac{10}{1}\)
3. \(+\left(\frac{8}{-7}\right)-\left(\frac{6}{13}\right)\\= \frac{-8}{7}-\frac{6}{13}\\=\frac{-104}{91}-\frac{42}{91}\\=\frac{-104-42}{91}\\=\frac{-146}{91}\)
4. \(+\left(\frac{-5}{6}\right)-\left(\frac{-2}{13}\right)\\= \frac{-5}{6}+\frac{2}{13}\\=\frac{-65}{78}+\frac{12}{78}\\=\frac{-65+12}{78}\\=\frac{-53}{78}\)
5. \(+\left(\frac{10}{9}\right)+\left(\frac{13}{12}\right)\\= \frac{10}{9}+\frac{13}{12}\\=\frac{40}{36}+\frac{39}{36}\\=\frac{40+39}{36}\\=\frac{79}{36}\)
6. \(-\left(\frac{-3}{7}\right)+\left(\frac{11}{3}\right)\\= \frac{3}{7}+\frac{11}{3}\\=\frac{9}{21}+\frac{77}{21}\\=\frac{9+77}{21}\\=\frac{86}{21}\)
7. \(+\left(\frac{-2}{-3}\right)+\left(\frac{13}{8}\right)\\= \frac{2}{3}+\frac{13}{8}\\=\frac{16}{24}+\frac{39}{24}\\=\frac{16+39}{24}\\=\frac{55}{24}\)
8. \(+\left(\frac{10}{3}\right)-\left(\frac{-14}{-9}\right)\\= \frac{10}{3}-\frac{14}{9}\\=\frac{30}{9}-\frac{14}{9}\\=\frac{30-14}{9}\\=\frac{16}{9}\)
9. \(-\left(\frac{-13}{2}\right)-\left(\frac{-13}{-2}\right)\\= \frac{13}{2}-\frac{13}{2}\\=\frac{13-13}{2}\\=\frac{0}{2}\\=\frac{0}{1}\)
10. \(+\left(\frac{7}{-8}\right)-\left(\frac{13}{14}\right)\\= \frac{-7}{8}-\frac{13}{14}\\=\frac{-49}{56}-\frac{52}{56}\\=\frac{-49-52}{56}\\=\frac{-101}{56}\)
11. \(-\left(\frac{4}{-5}\right)+\left(\frac{-9}{-10}\right)\\= \frac{4}{5}+\frac{9}{10}\\=\frac{8}{10}+\frac{9}{10}\\=\frac{8+9}{10}\\=\frac{17}{10}\)
12. \(-\left(\frac{2}{3}\right)-\left(\frac{-13}{-10}\right)\\= \frac{-2}{3}-\frac{13}{10}\\=\frac{-20}{30}-\frac{39}{30}\\=\frac{-20-39}{30}\\=\frac{-59}{30}\)