Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{13}\right)-\left(\frac{10}{7}\right)\\= \frac{12}{13}-\frac{10}{7}\\=\frac{84}{91}-\frac{130}{91}\\=\frac{84-130}{91}\\=\frac{-46}{91}\)
2. \(-\left(\frac{10}{3}\right)-\left(\frac{14}{5}\right)\\= \frac{-10}{3}-\frac{14}{5}\\=\frac{-50}{15}-\frac{42}{15}\\=\frac{-50-42}{15}\\=\frac{-92}{15}\)
3. \(+\left(\frac{-13}{14}\right)+\left(\frac{-14}{-9}\right)\\= \frac{-13}{14}+\frac{14}{9}\\=\frac{-117}{126}+\frac{196}{126}\\=\frac{-117+196}{126}\\=\frac{79}{126}\)
4. \(-\left(\frac{11}{-2}\right)-\left(\frac{-6}{-11}\right)\\= \frac{11}{2}-\frac{6}{11}\\=\frac{121}{22}-\frac{12}{22}\\=\frac{121-12}{22}\\=\frac{109}{22}\)
5. \(+\left(\frac{4}{-3}\right)+\left(\frac{-8}{-11}\right)\\= \frac{-4}{3}+\frac{8}{11}\\=\frac{-44}{33}+\frac{24}{33}\\=\frac{-44+24}{33}\\=\frac{-20}{33}\)
6. \(+\left(\frac{9}{2}\right)+\left(\frac{5}{12}\right)\\= \frac{9}{2}+\frac{5}{12}\\=\frac{54}{12}+\frac{5}{12}\\=\frac{54+5}{12}\\=\frac{59}{12}\)
7. \(+\left(\frac{5}{7}\right)-\left(\frac{10}{-13}\right)\\= \frac{5}{7}+\frac{10}{13}\\=\frac{65}{91}+\frac{70}{91}\\=\frac{65+70}{91}\\=\frac{135}{91}\)
8. \(+\left(\frac{7}{3}\right)+\left(\frac{-5}{-12}\right)\\= \frac{7}{3}+\frac{5}{12}\\=\frac{28}{12}+\frac{5}{12}\\=\frac{28+5}{12}\\=\frac{33}{12}\\=\frac{11}{4}\)
9. \(+\left(\frac{6}{5}\right)+\left(\frac{-5}{-2}\right)\\= \frac{6}{5}+\frac{5}{2}\\=\frac{12}{10}+\frac{25}{10}\\=\frac{12+25}{10}\\=\frac{37}{10}\)
10. \(-\left(\frac{-10}{7}\right)+\left(\frac{-4}{-11}\right)\\= \frac{10}{7}+\frac{4}{11}\\=\frac{110}{77}+\frac{28}{77}\\=\frac{110+28}{77}\\=\frac{138}{77}\)
11. \(+\left(\frac{7}{2}\right)+\left(\frac{12}{7}\right)\\= \frac{7}{2}+\frac{12}{7}\\=\frac{49}{14}+\frac{24}{14}\\=\frac{49+24}{14}\\=\frac{73}{14}\)
12. \(+\left(\frac{15}{-7}\right)-\left(\frac{-2}{3}\right)\\= \frac{-15}{7}+\frac{2}{3}\\=\frac{-45}{21}+\frac{14}{21}\\=\frac{-45+14}{21}\\=\frac{-31}{21}\)