Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{11}{2}\right)+\left(\frac{-13}{-12}\right)\\= \frac{-11}{2}+\frac{13}{12}\\=\frac{-66}{12}+\frac{13}{12}\\=\frac{-66+13}{12}\\=\frac{-53}{12}\)
2. \(+\left(\frac{7}{2}\right)-\left(\frac{11}{-14}\right)\\= \frac{7}{2}+\frac{11}{14}\\=\frac{49}{14}+\frac{11}{14}\\=\frac{49+11}{14}\\=\frac{60}{14}\\=\frac{30}{7}\)
3. \(+\left(\frac{6}{13}\right)+\left(\frac{2}{-9}\right)\\= \frac{6}{13}-\frac{2}{9}\\=\frac{54}{117}-\frac{26}{117}\\=\frac{54-26}{117}\\=\frac{28}{117}\)
4. \(+\left(\frac{-3}{-11}\right)-\left(\frac{6}{-7}\right)\\= \frac{3}{11}+\frac{6}{7}\\=\frac{21}{77}+\frac{66}{77}\\=\frac{21+66}{77}\\=\frac{87}{77}\)
5. \(+\left(\frac{-8}{13}\right)+\left(\frac{-10}{-3}\right)\\= \frac{-8}{13}+\frac{10}{3}\\=\frac{-24}{39}+\frac{130}{39}\\=\frac{-24+130}{39}\\=\frac{106}{39}\)
6. \(-\left(\frac{8}{-7}\right)+\left(\frac{10}{11}\right)\\= \frac{8}{7}+\frac{10}{11}\\=\frac{88}{77}+\frac{70}{77}\\=\frac{88+70}{77}\\=\frac{158}{77}\)
7. \(-\left(\frac{-12}{-13}\right)+\left(\frac{9}{-7}\right)\\= \frac{-12}{13}-\frac{9}{7}\\=\frac{-84}{91}-\frac{117}{91}\\=\frac{-84-117}{91}\\=\frac{-201}{91}\)
8. \(-\left(\frac{5}{-9}\right)+\left(\frac{-4}{3}\right)\\= \frac{5}{9}-\frac{4}{3}\\=\frac{5-4}{9}\\=\frac{1}{9}\)
9. \(-\left(\frac{15}{-13}\right)-\left(\frac{-12}{5}\right)\\= \frac{15}{13}+\frac{12}{5}\\=\frac{75}{65}+\frac{156}{65}\\=\frac{75+156}{65}\\=\frac{231}{65}\)
10. \(+\left(\frac{-7}{-5}\right)-\left(\frac{5}{-12}\right)\\= \frac{7}{5}+\frac{5}{12}\\=\frac{84}{60}+\frac{25}{60}\\=\frac{84+25}{60}\\=\frac{109}{60}\)
11. \(+\left(\frac{7}{11}\right)-\left(\frac{3}{14}\right)\\= \frac{7}{11}-\frac{3}{14}\\=\frac{98}{154}-\frac{33}{154}\\=\frac{98-33}{154}\\=\frac{65}{154}\)
12. \(+\left(\frac{3}{5}\right)-\left(\frac{8}{11}\right)\\= \frac{3}{5}-\frac{8}{11}\\=\frac{33}{55}-\frac{40}{55}\\=\frac{33-40}{55}\\=\frac{-7}{55}\)