Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-5}{6}\right)+\left(\frac{-8}{-9}\right)\\= \frac{5}{6}+\frac{8}{9}\\=\frac{15}{18}+\frac{16}{18}\\=\frac{15+16}{18}\\=\frac{31}{18}\)
2. \(-\left(\frac{4}{-7}\right)-\left(\frac{-5}{2}\right)\\= \frac{4}{7}+\frac{5}{2}\\=\frac{8}{14}+\frac{35}{14}\\=\frac{8+35}{14}\\=\frac{43}{14}\)
3. \(-\left(\frac{2}{-5}\right)+\left(\frac{11}{7}\right)\\= \frac{2}{5}+\frac{11}{7}\\=\frac{14}{35}+\frac{55}{35}\\=\frac{14+55}{35}\\=\frac{69}{35}\)
4. \(+\left(\frac{-14}{9}\right)-\left(\frac{-15}{11}\right)\\= \frac{-14}{9}+\frac{15}{11}\\=\frac{-154}{99}+\frac{135}{99}\\=\frac{-154+135}{99}\\=\frac{-19}{99}\)
5. \(+\left(\frac{-15}{4}\right)-\left(\frac{-13}{12}\right)\\= \frac{-15}{4}+\frac{13}{12}\\=\frac{-45}{12}+\frac{13}{12}\\=\frac{-45+13}{12}\\=\frac{-32}{12}\\=\frac{-8}{3}\)
6. \(+\left(\frac{7}{-2}\right)-\left(\frac{-9}{-4}\right)\\= \frac{-7}{2}-\frac{9}{4}\\=\frac{-14}{4}-\frac{9}{4}\\=\frac{-14-9}{4}\\=\frac{-23}{4}\)
7. \(+\left(\frac{-15}{-7}\right)+\left(\frac{6}{-11}\right)\\= \frac{15}{7}-\frac{6}{11}\\=\frac{165}{77}-\frac{42}{77}\\=\frac{165-42}{77}\\=\frac{123}{77}\)
8. \(-\left(\frac{5}{-11}\right)-\left(\frac{11}{-14}\right)\\= \frac{5}{11}+\frac{11}{14}\\=\frac{70}{154}+\frac{121}{154}\\=\frac{70+121}{154}\\=\frac{191}{154}\)
9. \(+\left(\frac{-14}{9}\right)-\left(\frac{-4}{5}\right)\\= \frac{-14}{9}+\frac{4}{5}\\=\frac{-70}{45}+\frac{36}{45}\\=\frac{-70+36}{45}\\=\frac{-34}{45}\)
10. \(-\left(\frac{12}{5}\right)+\left(\frac{-7}{2}\right)\\= \frac{-12}{5}-\frac{7}{2}\\=\frac{-24}{10}-\frac{35}{10}\\=\frac{-24-35}{10}\\=\frac{-59}{10}\)
11. \(-\left(\frac{14}{-9}\right)-\left(\frac{15}{7}\right)\\= \frac{14}{9}-\frac{15}{7}\\=\frac{98}{63}-\frac{135}{63}\\=\frac{98-135}{63}\\=\frac{-37}{63}\)
12. \(+\left(\frac{11}{4}\right)+\left(\frac{-3}{-4}\right)\\= \frac{11}{4}+\frac{3}{4}\\=\frac{11+3}{4}\\=\frac{14}{4}\\=\frac{7}{2}\)