Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{14}{-9}\right)+\left(\frac{13}{10}\right)\\= \frac{-14}{9}+\frac{13}{10}\\=\frac{-140}{90}+\frac{117}{90}\\=\frac{-140+117}{90}\\=\frac{-23}{90}\)
2. \(+\left(\frac{-10}{7}\right)-\left(\frac{-11}{2}\right)\\= \frac{-10}{7}+\frac{11}{2}\\=\frac{-20}{14}+\frac{77}{14}\\=\frac{-20+77}{14}\\=\frac{57}{14}\)
3. \(+\left(\frac{8}{-3}\right)+\left(\frac{-10}{-7}\right)\\= \frac{-8}{3}+\frac{10}{7}\\=\frac{-56}{21}+\frac{30}{21}\\=\frac{-56+30}{21}\\=\frac{-26}{21}\)
4. \(-\left(\frac{-4}{-11}\right)+\left(\frac{15}{-11}\right)\\= \frac{-4}{11}-\frac{15}{11}\\=\frac{-4-15}{11}\\=\frac{-19}{11}\)
5. \(+\left(\frac{6}{5}\right)+\left(\frac{12}{-5}\right)\\= \frac{6}{5}-\frac{12}{5}\\=\frac{6-12}{5}\\=\frac{-6}{5}\)
6. \(-\left(\frac{-7}{-2}\right)+\left(\frac{7}{12}\right)\\= \frac{-7}{2}+\frac{7}{12}\\=\frac{-42}{12}+\frac{7}{12}\\=\frac{-42+7}{12}\\=\frac{-35}{12}\)
7. \(-\left(\frac{8}{-13}\right)+\left(\frac{4}{7}\right)\\= \frac{8}{13}+\frac{4}{7}\\=\frac{56}{91}+\frac{52}{91}\\=\frac{56+52}{91}\\=\frac{108}{91}\)
8. \(-\left(\frac{-5}{11}\right)-\left(\frac{-12}{13}\right)\\= \frac{5}{11}+\frac{12}{13}\\=\frac{65}{143}+\frac{132}{143}\\=\frac{65+132}{143}\\=\frac{197}{143}\)
9. \(+\left(\frac{-15}{4}\right)-\left(\frac{-7}{12}\right)\\= \frac{-15}{4}+\frac{7}{12}\\=\frac{-45}{12}+\frac{7}{12}\\=\frac{-45+7}{12}\\=\frac{-38}{12}\\=\frac{-19}{6}\)
10. \(+\left(\frac{-11}{-2}\right)-\left(\frac{-4}{-11}\right)\\= \frac{11}{2}-\frac{4}{11}\\=\frac{121}{22}-\frac{8}{22}\\=\frac{121-8}{22}\\=\frac{113}{22}\)
11. \(+\left(\frac{2}{-9}\right)+\left(\frac{-11}{6}\right)\\= \frac{-2}{9}-\frac{11}{6}\\=\frac{-4}{18}-\frac{33}{18}\\=\frac{-4-33}{18}\\=\frac{-37}{18}\)
12. \(+\left(\frac{11}{5}\right)-\left(\frac{4}{-11}\right)\\= \frac{11}{5}+\frac{4}{11}\\=\frac{121}{55}+\frac{20}{55}\\=\frac{121+20}{55}\\=\frac{141}{55}\)