Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-8}{-11}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-8}{11}+\frac{12}{5}\\=\frac{-40}{55}+\frac{132}{55}\\=\frac{-40+132}{55}\\=\frac{92}{55}\)
2. \(+\left(\frac{-12}{-5}\right)-\left(\frac{9}{-14}\right)\\= \frac{12}{5}+\frac{9}{14}\\=\frac{168}{70}+\frac{45}{70}\\=\frac{168+45}{70}\\=\frac{213}{70}\)
3. \(-\left(\frac{14}{13}\right)-\left(\frac{7}{10}\right)\\= \frac{-14}{13}-\frac{7}{10}\\=\frac{-140}{130}-\frac{91}{130}\\=\frac{-140-91}{130}\\=\frac{-231}{130}\)
4. \(-\left(\frac{-4}{-11}\right)-\left(\frac{-14}{-9}\right)\\= \frac{-4}{11}-\frac{14}{9}\\=\frac{-36}{99}-\frac{154}{99}\\=\frac{-36-154}{99}\\=\frac{-190}{99}\)
5. \(+\left(\frac{11}{-13}\right)+\left(\frac{13}{-14}\right)\\= \frac{-11}{13}-\frac{13}{14}\\=\frac{-154}{182}-\frac{169}{182}\\=\frac{-154-169}{182}\\=\frac{-323}{182}\)
6. \(+\left(\frac{6}{-11}\right)+\left(\frac{5}{4}\right)\\= \frac{-6}{11}+\frac{5}{4}\\=\frac{-24}{44}+\frac{55}{44}\\=\frac{-24+55}{44}\\=\frac{31}{44}\)
7. \(+\left(\frac{6}{-11}\right)+\left(\frac{15}{2}\right)\\= \frac{-6}{11}+\frac{15}{2}\\=\frac{-12}{22}+\frac{165}{22}\\=\frac{-12+165}{22}\\=\frac{153}{22}\)
8. \(+\left(\frac{7}{11}\right)+\left(\frac{-4}{13}\right)\\= \frac{7}{11}-\frac{4}{13}\\=\frac{91}{143}-\frac{44}{143}\\=\frac{91-44}{143}\\=\frac{47}{143}\)
9. \(-\left(\frac{3}{8}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-3}{8}+\frac{6}{5}\\=\frac{-15}{40}+\frac{48}{40}\\=\frac{-15+48}{40}\\=\frac{33}{40}\)
10. \(-\left(\frac{10}{-9}\right)-\left(\frac{-6}{-5}\right)\\= \frac{10}{9}-\frac{6}{5}\\=\frac{50}{45}-\frac{54}{45}\\=\frac{50-54}{45}\\=\frac{-4}{45}\)
11. \(+\left(\frac{12}{-5}\right)+\left(\frac{15}{-7}\right)\\= \frac{-12}{5}-\frac{15}{7}\\=\frac{-84}{35}-\frac{75}{35}\\=\frac{-84-75}{35}\\=\frac{-159}{35}\)
12. \(-\left(\frac{-9}{7}\right)-\left(\frac{11}{4}\right)\\= \frac{9}{7}-\frac{11}{4}\\=\frac{36}{28}-\frac{77}{28}\\=\frac{36-77}{28}\\=\frac{-41}{28}\)