Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-2}{7}\right) -\left(\frac{4}{-6}\right) +\left(\frac{11}{8}\right)\\= \frac{2}{7}+ \frac{4}{6}+\frac{11}{8}\\=\frac{2}{7}+\frac{2}{3}+\frac{11}{8}\\=\frac{48}{168}+\frac{112}{168}+\frac{231}{168}\\=\frac{48+112+231}{168}\\=\frac{391}{168}\)
2. \(+\left(\frac{7}{-5}\right) +\left(\frac{5}{-5}\right) +\left(\frac{-7}{-6}\right)\\= \frac{-7}{5}- \frac{5}{5}+\frac{7}{6}\\=\frac{-7}{5}-\frac{1}{1}+\frac{7}{6}\\=\frac{-42}{30}-\frac{30}{30}+\frac{35}{30}\\=\frac{-42-30+35}{30}\\=\frac{-37}{30}\)
3. \(+\left(\frac{10}{-3}\right) +\left(\frac{6}{4}\right) +\left(\frac{8}{11}\right)\\= \frac{-10}{3}+ \frac{6}{4}+\frac{8}{11}\\=\frac{-10}{3}+\frac{3}{2}+\frac{8}{11}\\=\frac{-220}{66}+\frac{99}{66}+\frac{48}{66}\\=\frac{-220+99+48}{66}\\=\frac{-73}{66}\)
4. \(+\left(\frac{-10}{-9}\right) +\left(\frac{4}{-5}\right) -\left(\frac{12}{-8}\right)\\= \frac{10}{9}- \frac{4}{5}+\frac{12}{8}\\=\frac{10}{9}-\frac{4}{5}+\frac{3}{2}\\=\frac{100}{90}-\frac{72}{90}+\frac{135}{90}\\=\frac{100-72+135}{90}\\=\frac{163}{90}\)
5. \(-\left(\frac{5}{-2}\right) +\left(\frac{7}{10}\right) +\left(\frac{11}{7}\right)\\= \frac{5}{2}+ \frac{7}{10}+\frac{11}{7}\\=\frac{175}{70}+\frac{49}{70}+\frac{110}{70}\\=\frac{175+49+110}{70}\\=\frac{334}{70}\\=\frac{167}{35}\)
6. \(-\left(\frac{-6}{-5}\right) -\left(\frac{5}{-7}\right) -\left(\frac{5}{-11}\right)\\= \frac{-6}{5}+ \frac{5}{7}+\frac{5}{11}\\=\frac{-462}{385}+\frac{275}{385}+\frac{175}{385}\\=\frac{-462+275+175}{385}\\=\frac{-12}{385}\)
7. \(+\left(\frac{-10}{-9}\right) +\left(\frac{5}{-7}\right) -\left(\frac{-10}{6}\right)\\= \frac{10}{9}- \frac{5}{7}+\frac{10}{6}\\=\frac{10}{9}-\frac{5}{7}+\frac{5}{3}\\=\frac{70}{63}-\frac{45}{63}+\frac{105}{63}\\=\frac{70-45+105}{63}\\=\frac{130}{63}\)
8. \(-\left(\frac{-7}{-2}\right) +\left(\frac{5}{9}\right) +\left(\frac{-11}{5}\right)\\= \frac{-7}{2}+ \frac{5}{9}-\frac{11}{5}\\=\frac{-315}{90}+\frac{50}{90}-\frac{198}{90}\\=\frac{-315+50-198}{90}\\=\frac{-463}{90}\)
9. \(-\left(\frac{-5}{9}\right) -\left(\frac{-7}{2}\right) -\left(\frac{11}{7}\right)\\= \frac{5}{9}+ \frac{7}{2}-\frac{11}{7}\\=\frac{70}{126}+\frac{441}{126}-\frac{198}{126}\\=\frac{70+441-198}{126}\\=\frac{313}{126}\)
10. \(-\left(\frac{-4}{5}\right) +\left(\frac{8}{-5}\right) -\left(\frac{8}{-10}\right)\\= \frac{4}{5}- \frac{8}{5}+\frac{8}{10}\\=\frac{4}{5}-\frac{8}{5}+\frac{4}{5}\\=\frac{4-8+4}{5}\\=\frac{0}{5}\\=\frac{0}{1}\)
11. \(-\left(\frac{7}{-3}\right) -\left(\frac{-4}{8}\right) +\left(\frac{11}{-7}\right)\\= \frac{7}{3}+ \frac{4}{8}-\frac{11}{7}\\=\frac{7}{3}+\frac{1}{2}-\frac{11}{7}\\=\frac{98}{42}+\frac{21}{42}-\frac{66}{42}\\=\frac{98+21-66}{42}\\=\frac{53}{42}\)
12. \(+\left(\frac{-6}{5}\right) +\left(\frac{-8}{-7}\right) +\left(\frac{7}{3}\right)\\= \frac{-6}{5}+ \frac{8}{7}+\frac{7}{3}\\=\frac{-126}{105}+\frac{120}{105}+\frac{245}{105}\\=\frac{-126+120+245}{105}\\=\frac{239}{105}\)