Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-14}{-3}\right)+\left(\frac{2}{-13}\right)\\= \frac{14}{3}-\frac{2}{13}\\=\frac{182}{39}-\frac{6}{39}\\=\frac{182-6}{39}\\=\frac{176}{39}\)
2. \(+\left(\frac{4}{-13}\right)-\left(\frac{5}{-11}\right)\\= \frac{-4}{13}+\frac{5}{11}\\=\frac{-44}{143}+\frac{65}{143}\\=\frac{-44+65}{143}\\=\frac{21}{143}\)
3. \(+\left(\frac{6}{-11}\right)-\left(\frac{-12}{-5}\right)\\= \frac{-6}{11}-\frac{12}{5}\\=\frac{-30}{55}-\frac{132}{55}\\=\frac{-30-132}{55}\\=\frac{-162}{55}\)
4. \(+\left(\frac{-5}{6}\right)-\left(\frac{-9}{11}\right)\\= \frac{-5}{6}+\frac{9}{11}\\=\frac{-55}{66}+\frac{54}{66}\\=\frac{-55+54}{66}\\=\frac{-1}{66}\)
5. \(-\left(\frac{9}{-4}\right)+\left(\frac{-2}{-13}\right)\\= \frac{9}{4}+\frac{2}{13}\\=\frac{117}{52}+\frac{8}{52}\\=\frac{117+8}{52}\\=\frac{125}{52}\)
6. \(+\left(\frac{-8}{11}\right)-\left(\frac{15}{-4}\right)\\= \frac{-8}{11}+\frac{15}{4}\\=\frac{-32}{44}+\frac{165}{44}\\=\frac{-32+165}{44}\\=\frac{133}{44}\)
7. \(-\left(\frac{4}{7}\right)+\left(\frac{11}{-6}\right)\\= \frac{-4}{7}-\frac{11}{6}\\=\frac{-24}{42}-\frac{77}{42}\\=\frac{-24-77}{42}\\=\frac{-101}{42}\)
8. \(-\left(\frac{4}{-7}\right)-\left(\frac{15}{2}\right)\\= \frac{4}{7}-\frac{15}{2}\\=\frac{8}{14}-\frac{105}{14}\\=\frac{8-105}{14}\\=\frac{-97}{14}\)
9. \(-\left(\frac{-14}{-9}\right)+\left(\frac{-7}{5}\right)\\= \frac{-14}{9}-\frac{7}{5}\\=\frac{-70}{45}-\frac{63}{45}\\=\frac{-70-63}{45}\\=\frac{-133}{45}\)
10. \(-\left(\frac{-3}{13}\right)-\left(\frac{14}{-13}\right)\\= \frac{3}{13}+\frac{14}{13}\\=\frac{3+14}{13}\\=\frac{17}{13}\)
11. \(-\left(\frac{2}{-3}\right)+\left(\frac{6}{5}\right)\\= \frac{2}{3}+\frac{6}{5}\\=\frac{10}{15}+\frac{18}{15}\\=\frac{10+18}{15}\\=\frac{28}{15}\)
12. \(+\left(\frac{-13}{12}\right)+\left(\frac{12}{11}\right)\\= \frac{-13}{12}+\frac{12}{11}\\=\frac{-143}{132}+\frac{144}{132}\\=\frac{-143+144}{132}\\=\frac{1}{132}\)