Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{14}{5}\right)-\left(\frac{15}{11}\right)\\= \frac{14}{5}-\frac{15}{11}\\=\frac{154}{55}-\frac{75}{55}\\=\frac{154-75}{55}\\=\frac{79}{55}\)
2. \(+\left(\frac{11}{-7}\right)+\left(\frac{10}{13}\right)\\= \frac{-11}{7}+\frac{10}{13}\\=\frac{-143}{91}+\frac{70}{91}\\=\frac{-143+70}{91}\\=\frac{-73}{91}\)
3. \(-\left(\frac{12}{5}\right)+\left(\frac{2}{13}\right)\\= \frac{-12}{5}+\frac{2}{13}\\=\frac{-156}{65}+\frac{10}{65}\\=\frac{-156+10}{65}\\=\frac{-146}{65}\)
4. \(-\left(\frac{-7}{-2}\right)+\left(\frac{7}{-11}\right)\\= \frac{-7}{2}-\frac{7}{11}\\=\frac{-77}{22}-\frac{14}{22}\\=\frac{-77-14}{22}\\=\frac{-91}{22}\)
5. \(-\left(\frac{6}{-5}\right)-\left(\frac{-15}{2}\right)\\= \frac{6}{5}+\frac{15}{2}\\=\frac{12}{10}+\frac{75}{10}\\=\frac{12+75}{10}\\=\frac{87}{10}\)
6. \(-\left(\frac{2}{5}\right)-\left(\frac{4}{7}\right)\\= \frac{-2}{5}-\frac{4}{7}\\=\frac{-14}{35}-\frac{20}{35}\\=\frac{-14-20}{35}\\=\frac{-34}{35}\)
7. \(+\left(\frac{5}{11}\right)+\left(\frac{8}{7}\right)\\= \frac{5}{11}+\frac{8}{7}\\=\frac{35}{77}+\frac{88}{77}\\=\frac{35+88}{77}\\=\frac{123}{77}\)
8. \(+\left(\frac{-10}{13}\right)-\left(\frac{-13}{9}\right)\\= \frac{-10}{13}+\frac{13}{9}\\=\frac{-90}{117}+\frac{169}{117}\\=\frac{-90+169}{117}\\=\frac{79}{117}\)
9. \(-\left(\frac{12}{-11}\right)+\left(\frac{-12}{5}\right)\\= \frac{12}{11}-\frac{12}{5}\\=\frac{60}{55}-\frac{132}{55}\\=\frac{60-132}{55}\\=\frac{-72}{55}\)
10. \(-\left(\frac{3}{7}\right)+\left(\frac{15}{7}\right)\\= \frac{-3}{7}+\frac{15}{7}\\=\frac{-3+15}{7}\\=\frac{12}{7}\)
11. \(+\left(\frac{8}{13}\right)-\left(\frac{10}{-3}\right)\\= \frac{8}{13}+\frac{10}{3}\\=\frac{24}{39}+\frac{130}{39}\\=\frac{24+130}{39}\\=\frac{154}{39}\)
12. \(-\left(\frac{-10}{-9}\right)-\left(\frac{-2}{3}\right)\\= \frac{-10}{9}+\frac{2}{3}\\=\frac{-10+2}{9}\\=\frac{-8}{9}\)