Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-5}{-7}\right)+\left(\frac{-13}{-3}\right)\\= \frac{-5}{7}+\frac{13}{3}\\=\frac{-15}{21}+\frac{91}{21}\\=\frac{-15+91}{21}\\=\frac{76}{21}\)
2. \(-\left(\frac{15}{-4}\right)+\left(\frac{-2}{5}\right)\\= \frac{15}{4}-\frac{2}{5}\\=\frac{75}{20}-\frac{8}{20}\\=\frac{75-8}{20}\\=\frac{67}{20}\)
3. \(+\left(\frac{6}{-5}\right)+\left(\frac{-4}{-9}\right)\\= \frac{-6}{5}+\frac{4}{9}\\=\frac{-54}{45}+\frac{20}{45}\\=\frac{-54+20}{45}\\=\frac{-34}{45}\)
4. \(-\left(\frac{3}{11}\right)-\left(\frac{-12}{5}\right)\\= \frac{-3}{11}+\frac{12}{5}\\=\frac{-15}{55}+\frac{132}{55}\\=\frac{-15+132}{55}\\=\frac{117}{55}\)
5. \(-\left(\frac{-2}{-7}\right)-\left(\frac{-9}{-13}\right)\\= \frac{-2}{7}-\frac{9}{13}\\=\frac{-26}{91}-\frac{63}{91}\\=\frac{-26-63}{91}\\=\frac{-89}{91}\)
6. \(+\left(\frac{6}{7}\right)+\left(\frac{11}{-4}\right)\\= \frac{6}{7}-\frac{11}{4}\\=\frac{24}{28}-\frac{77}{28}\\=\frac{24-77}{28}\\=\frac{-53}{28}\)
7. \(+\left(\frac{2}{9}\right)+\left(\frac{-9}{5}\right)\\= \frac{2}{9}-\frac{9}{5}\\=\frac{10}{45}-\frac{81}{45}\\=\frac{10-81}{45}\\=\frac{-71}{45}\)
8. \(-\left(\frac{2}{3}\right)-\left(\frac{-8}{-3}\right)\\= \frac{-2}{3}-\frac{8}{3}\\=\frac{-2-8}{3}\\=\frac{-10}{3}\)
9. \(-\left(\frac{11}{-6}\right)+\left(\frac{-15}{2}\right)\\= \frac{11}{6}-\frac{15}{2}\\=\frac{11-15}{6}\\=\frac{-4}{6}\\=\frac{-2}{3}\)
10. \(-\left(\frac{-2}{-13}\right)+\left(\frac{9}{4}\right)\\= \frac{-2}{13}+\frac{9}{4}\\=\frac{-8}{52}+\frac{117}{52}\\=\frac{-8+117}{52}\\=\frac{109}{52}\)
11. \(-\left(\frac{4}{5}\right)-\left(\frac{-9}{-14}\right)\\= \frac{-4}{5}-\frac{9}{14}\\=\frac{-56}{70}-\frac{45}{70}\\=\frac{-56-45}{70}\\=\frac{-101}{70}\)
12. \(+\left(\frac{10}{-7}\right)-\left(\frac{13}{-4}\right)\\= \frac{-10}{7}+\frac{13}{4}\\=\frac{-40}{28}+\frac{91}{28}\\=\frac{-40+91}{28}\\=\frac{51}{28}\)