Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{15}{-7}\right)-\left(\frac{-4}{7}\right)\\= \frac{15}{7}+\frac{4}{7}\\=\frac{15+4}{7}\\=\frac{19}{7}\)
2. \(+\left(\frac{3}{-8}\right)+\left(\frac{-2}{-5}\right)\\= \frac{-3}{8}+\frac{2}{5}\\=\frac{-15}{40}+\frac{16}{40}\\=\frac{-15+16}{40}\\=\frac{1}{40}\)
3. \(+\left(\frac{-11}{-12}\right)+\left(\frac{9}{2}\right)\\= \frac{11}{12}+\frac{9}{2}\\=\frac{11+9}{12}\\=\frac{20}{12}\\=\frac{5}{3}\)
4. \(-\left(\frac{6}{7}\right)+\left(\frac{-3}{2}\right)\\= \frac{-6}{7}-\frac{3}{2}\\=\frac{-12}{14}-\frac{21}{14}\\=\frac{-12-21}{14}\\=\frac{-33}{14}\)
5. \(+\left(\frac{-13}{12}\right)-\left(\frac{5}{-2}\right)\\= \frac{-13}{12}+\frac{5}{2}\\=\frac{-13+5}{12}\\=\frac{-8}{12}\\=\frac{-2}{3}\)
6. \(+\left(\frac{-4}{-9}\right)+\left(\frac{-4}{-9}\right)\\= \frac{4}{9}+\frac{4}{9}\\=\frac{4+4}{9}\\=\frac{8}{9}\)
7. \(-\left(\frac{12}{-5}\right)+\left(\frac{11}{2}\right)\\= \frac{12}{5}+\frac{11}{2}\\=\frac{24}{10}+\frac{55}{10}\\=\frac{24+55}{10}\\=\frac{79}{10}\)
8. \(+\left(\frac{-5}{9}\right)+\left(\frac{-8}{-3}\right)\\= \frac{-5}{9}+\frac{8}{3}\\=\frac{-5+8}{9}\\=\frac{3}{9}\\=\frac{1}{3}\)
9. \(+\left(\frac{5}{12}\right)-\left(\frac{14}{-11}\right)\\= \frac{5}{12}+\frac{14}{11}\\=\frac{55}{132}+\frac{168}{132}\\=\frac{55+168}{132}\\=\frac{223}{132}\)
10. \(+\left(\frac{-5}{13}\right)+\left(\frac{3}{-7}\right)\\= \frac{-5}{13}-\frac{3}{7}\\=\frac{-35}{91}-\frac{39}{91}\\=\frac{-35-39}{91}\\=\frac{-74}{91}\)
11. \(-\left(\frac{5}{-14}\right)-\left(\frac{5}{2}\right)\\= \frac{5}{14}-\frac{5}{2}\\=\frac{5-5}{14}\\=\frac{0}{14}\\=\frac{0}{1}\)
12. \(+\left(\frac{12}{-11}\right)+\left(\frac{12}{13}\right)\\= \frac{-12}{11}+\frac{12}{13}\\=\frac{-156}{143}+\frac{132}{143}\\=\frac{-156+132}{143}\\=\frac{-24}{143}\)