Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{9}{-10}\right)-\left(\frac{-13}{-5}\right)\\= \frac{-9}{10}-\frac{13}{5}\\=\frac{-9-13}{10}\\=\frac{-22}{10}\\=\frac{-11}{5}\)
2. \(+\left(\frac{6}{7}\right)-\left(\frac{-12}{-13}\right)\\= \frac{6}{7}-\frac{12}{13}\\=\frac{78}{91}-\frac{84}{91}\\=\frac{78-84}{91}\\=\frac{-6}{91}\)
3. \(-\left(\frac{-9}{2}\right)-\left(\frac{8}{-9}\right)\\= \frac{9}{2}+\frac{8}{9}\\=\frac{81}{18}+\frac{16}{18}\\=\frac{81+16}{18}\\=\frac{97}{18}\)
4. \(+\left(\frac{-8}{13}\right)+\left(\frac{6}{5}\right)\\= \frac{-8}{13}+\frac{6}{5}\\=\frac{-40}{65}+\frac{78}{65}\\=\frac{-40+78}{65}\\=\frac{38}{65}\)
5. \(+\left(\frac{-7}{3}\right)+\left(\frac{-14}{-5}\right)\\= \frac{-7}{3}+\frac{14}{5}\\=\frac{-35}{15}+\frac{42}{15}\\=\frac{-35+42}{15}\\=\frac{7}{15}\)
6. \(-\left(\frac{3}{-7}\right)-\left(\frac{-5}{12}\right)\\= \frac{3}{7}+\frac{5}{12}\\=\frac{36}{84}+\frac{35}{84}\\=\frac{36+35}{84}\\=\frac{71}{84}\)
7. \(+\left(\frac{7}{11}\right)+\left(\frac{-12}{5}\right)\\= \frac{7}{11}-\frac{12}{5}\\=\frac{35}{55}-\frac{132}{55}\\=\frac{35-132}{55}\\=\frac{-97}{55}\)
8. \(-\left(\frac{11}{-2}\right)-\left(\frac{-7}{-2}\right)\\= \frac{11}{2}-\frac{7}{2}\\=\frac{11-7}{2}\\=\frac{4}{2}\\=\frac{2}{1}\)
9. \(-\left(\frac{6}{7}\right)+\left(\frac{-9}{-14}\right)\\= \frac{-6}{7}+\frac{9}{14}\\=\frac{-12}{14}+\frac{9}{14}\\=\frac{-12+9}{14}\\=\frac{-3}{14}\)
10. \(+\left(\frac{13}{6}\right)-\left(\frac{14}{-13}\right)\\= \frac{13}{6}+\frac{14}{13}\\=\frac{169}{78}+\frac{84}{78}\\=\frac{169+84}{78}\\=\frac{253}{78}\)
11. \(+\left(\frac{-3}{-7}\right)-\left(\frac{-6}{11}\right)\\= \frac{3}{7}+\frac{6}{11}\\=\frac{33}{77}+\frac{42}{77}\\=\frac{33+42}{77}\\=\frac{75}{77}\)
12. \(-\left(\frac{-9}{4}\right)+\left(\frac{11}{3}\right)\\= \frac{9}{4}+\frac{11}{3}\\=\frac{27}{12}+\frac{44}{12}\\=\frac{27+44}{12}\\=\frac{71}{12}\)