Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-13}{2}\right)+\left(\frac{-4}{-11}\right)\\= \frac{13}{2}+\frac{4}{11}\\=\frac{143}{22}+\frac{8}{22}\\=\frac{143+8}{22}\\=\frac{151}{22}\)
2. \(+\left(\frac{-8}{5}\right)+\left(\frac{7}{-9}\right)\\= \frac{-8}{5}-\frac{7}{9}\\=\frac{-72}{45}-\frac{35}{45}\\=\frac{-72-35}{45}\\=\frac{-107}{45}\)
3. \(+\left(\frac{-11}{6}\right)-\left(\frac{3}{2}\right)\\= \frac{-11}{6}-\frac{3}{2}\\=\frac{-11-3}{6}\\=\frac{-14}{6}\\=\frac{-7}{3}\)
4. \(+\left(\frac{13}{-2}\right)-\left(\frac{5}{-2}\right)\\= \frac{-13}{2}+\frac{5}{2}\\=\frac{-13+5}{2}\\=\frac{-8}{2}\\=\frac{-4}{1}\)
5. \(-\left(\frac{2}{-3}\right)+\left(\frac{-9}{-8}\right)\\= \frac{2}{3}+\frac{9}{8}\\=\frac{16}{24}+\frac{27}{24}\\=\frac{16+27}{24}\\=\frac{43}{24}\)
6. \(-\left(\frac{-3}{-10}\right)+\left(\frac{13}{12}\right)\\= \frac{-3}{10}+\frac{13}{12}\\=\frac{-18}{60}+\frac{65}{60}\\=\frac{-18+65}{60}\\=\frac{47}{60}\)
7. \(+\left(\frac{-8}{11}\right)+\left(\frac{14}{-9}\right)\\= \frac{-8}{11}-\frac{14}{9}\\=\frac{-72}{99}-\frac{154}{99}\\=\frac{-72-154}{99}\\=\frac{-226}{99}\)
8. \(+\left(\frac{4}{-3}\right)+\left(\frac{2}{-7}\right)\\= \frac{-4}{3}-\frac{2}{7}\\=\frac{-28}{21}-\frac{6}{21}\\=\frac{-28-6}{21}\\=\frac{-34}{21}\)
9. \(-\left(\frac{15}{7}\right)-\left(\frac{-6}{-11}\right)\\= \frac{-15}{7}-\frac{6}{11}\\=\frac{-165}{77}-\frac{42}{77}\\=\frac{-165-42}{77}\\=\frac{-207}{77}\)
10. \(-\left(\frac{14}{-3}\right)+\left(\frac{-6}{5}\right)\\= \frac{14}{3}-\frac{6}{5}\\=\frac{70}{15}-\frac{18}{15}\\=\frac{70-18}{15}\\=\frac{52}{15}\)
11. \(-\left(\frac{10}{-3}\right)-\left(\frac{11}{12}\right)\\= \frac{10}{3}-\frac{11}{12}\\=\frac{40}{12}-\frac{11}{12}\\=\frac{40-11}{12}\\=\frac{29}{12}\)
12. \(+\left(\frac{2}{-3}\right)+\left(\frac{7}{4}\right)\\= \frac{-2}{3}+\frac{7}{4}\\=\frac{-8}{12}+\frac{21}{12}\\=\frac{-8+21}{12}\\=\frac{13}{12}\)