Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-6}{-11}\right)-\left(\frac{2}{-11}\right)\\= \frac{6}{11}+\frac{2}{11}\\=\frac{6+2}{11}\\=\frac{8}{11}\)
2. \(-\left(\frac{-12}{13}\right)+\left(\frac{14}{3}\right)\\= \frac{12}{13}+\frac{14}{3}\\=\frac{36}{39}+\frac{182}{39}\\=\frac{36+182}{39}\\=\frac{218}{39}\)
3. \(+\left(\frac{-13}{14}\right)+\left(\frac{-15}{4}\right)\\= \frac{-13}{14}-\frac{15}{4}\\=\frac{-26}{28}-\frac{105}{28}\\=\frac{-26-105}{28}\\=\frac{-131}{28}\)
4. \(+\left(\frac{-7}{6}\right)+\left(\frac{14}{-3}\right)\\= \frac{-7}{6}-\frac{14}{3}\\=\frac{-7-14}{6}\\=\frac{-21}{6}\\=\frac{-7}{2}\)
5. \(+\left(\frac{4}{3}\right)+\left(\frac{-14}{-5}\right)\\= \frac{4}{3}+\frac{14}{5}\\=\frac{20}{15}+\frac{42}{15}\\=\frac{20+42}{15}\\=\frac{62}{15}\)
6. \(-\left(\frac{-6}{-13}\right)-\left(\frac{-13}{4}\right)\\= \frac{-6}{13}+\frac{13}{4}\\=\frac{-24}{52}+\frac{169}{52}\\=\frac{-24+169}{52}\\=\frac{145}{52}\)
7. \(-\left(\frac{-4}{-11}\right)+\left(\frac{2}{9}\right)\\= \frac{-4}{11}+\frac{2}{9}\\=\frac{-36}{99}+\frac{22}{99}\\=\frac{-36+22}{99}\\=\frac{-14}{99}\)
8. \(-\left(\frac{2}{-5}\right)+\left(\frac{2}{3}\right)\\= \frac{2}{5}+\frac{2}{3}\\=\frac{6}{15}+\frac{10}{15}\\=\frac{6+10}{15}\\=\frac{16}{15}\)
9. \(+\left(\frac{-3}{14}\right)-\left(\frac{-3}{10}\right)\\= \frac{-3}{14}+\frac{3}{10}\\=\frac{-15}{70}+\frac{21}{70}\\=\frac{-15+21}{70}\\=\frac{6}{70}\\=\frac{3}{35}\)
10. \(+\left(\frac{-14}{-9}\right)-\left(\frac{-9}{-10}\right)\\= \frac{14}{9}-\frac{9}{10}\\=\frac{140}{90}-\frac{81}{90}\\=\frac{140-81}{90}\\=\frac{59}{90}\)
11. \(-\left(\frac{-6}{-5}\right)-\left(\frac{9}{11}\right)\\= \frac{-6}{5}-\frac{9}{11}\\=\frac{-66}{55}-\frac{45}{55}\\=\frac{-66-45}{55}\\=\frac{-111}{55}\)
12. \(+\left(\frac{5}{-6}\right)+\left(\frac{-6}{5}\right)\\= \frac{-5}{6}-\frac{6}{5}\\=\frac{-25}{30}-\frac{36}{30}\\=\frac{-25-36}{30}\\=\frac{-61}{30}\)