Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{12}{7}\right)+\left(\frac{14}{11}\right)\\= \frac{12}{7}+\frac{14}{11}\\=\frac{132}{77}+\frac{98}{77}\\=\frac{132+98}{77}\\=\frac{230}{77}\)
2. \(+\left(\frac{-12}{13}\right)+\left(\frac{-3}{-8}\right)\\= \frac{-12}{13}+\frac{3}{8}\\=\frac{-96}{104}+\frac{39}{104}\\=\frac{-96+39}{104}\\=\frac{-57}{104}\)
3. \(+\left(\frac{-11}{5}\right)+\left(\frac{-6}{7}\right)\\= \frac{-11}{5}-\frac{6}{7}\\=\frac{-77}{35}-\frac{30}{35}\\=\frac{-77-30}{35}\\=\frac{-107}{35}\)
4. \(-\left(\frac{-3}{2}\right)+\left(\frac{-7}{-11}\right)\\= \frac{3}{2}+\frac{7}{11}\\=\frac{33}{22}+\frac{14}{22}\\=\frac{33+14}{22}\\=\frac{47}{22}\)
5. \(+\left(\frac{6}{-13}\right)+\left(\frac{10}{13}\right)\\= \frac{-6}{13}+\frac{10}{13}\\=\frac{-6+10}{13}\\=\frac{4}{13}\)
6. \(+\left(\frac{-7}{12}\right)+\left(\frac{-13}{-14}\right)\\= \frac{-7}{12}+\frac{13}{14}\\=\frac{-49}{84}+\frac{78}{84}\\=\frac{-49+78}{84}\\=\frac{29}{84}\)
7. \(-\left(\frac{15}{-7}\right)+\left(\frac{13}{11}\right)\\= \frac{15}{7}+\frac{13}{11}\\=\frac{165}{77}+\frac{91}{77}\\=\frac{165+91}{77}\\=\frac{256}{77}\)
8. \(-\left(\frac{-10}{-11}\right)+\left(\frac{-8}{-9}\right)\\= \frac{-10}{11}+\frac{8}{9}\\=\frac{-90}{99}+\frac{88}{99}\\=\frac{-90+88}{99}\\=\frac{-2}{99}\)
9. \(+\left(\frac{6}{5}\right)-\left(\frac{9}{-10}\right)\\= \frac{6}{5}+\frac{9}{10}\\=\frac{12}{10}+\frac{9}{10}\\=\frac{12+9}{10}\\=\frac{21}{10}\)
10. \(+\left(\frac{-15}{11}\right)-\left(\frac{7}{5}\right)\\= \frac{-15}{11}-\frac{7}{5}\\=\frac{-75}{55}-\frac{77}{55}\\=\frac{-75-77}{55}\\=\frac{-152}{55}\)
11. \(+\left(\frac{-9}{-4}\right)+\left(\frac{-11}{-2}\right)\\= \frac{9}{4}+\frac{11}{2}\\=\frac{9+11}{4}\\=\frac{20}{4}\\=\frac{5}{1}\)
12. \(-\left(\frac{-7}{9}\right)+\left(\frac{-3}{4}\right)\\= \frac{7}{9}-\frac{3}{4}\\=\frac{28}{36}-\frac{27}{36}\\=\frac{28-27}{36}\\=\frac{1}{36}\)