Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{10}{-7}\right)-\left(\frac{-4}{3}\right)\\= \frac{-10}{7}+\frac{4}{3}\\=\frac{-30}{21}+\frac{28}{21}\\=\frac{-30+28}{21}\\=\frac{-2}{21}\)
2. \(-\left(\frac{-3}{-13}\right)+\left(\frac{-3}{14}\right)\\= \frac{-3}{13}-\frac{3}{14}\\=\frac{-42}{182}-\frac{39}{182}\\=\frac{-42-39}{182}\\=\frac{-81}{182}\)
3. \(+\left(\frac{-13}{-7}\right)-\left(\frac{-15}{11}\right)\\= \frac{13}{7}+\frac{15}{11}\\=\frac{143}{77}+\frac{105}{77}\\=\frac{143+105}{77}\\=\frac{248}{77}\)
4. \(-\left(\frac{-15}{-11}\right)+\left(\frac{-4}{-3}\right)\\= \frac{-15}{11}+\frac{4}{3}\\=\frac{-45}{33}+\frac{44}{33}\\=\frac{-45+44}{33}\\=\frac{-1}{33}\)
5. \(-\left(\frac{9}{-4}\right)+\left(\frac{3}{-2}\right)\\= \frac{9}{4}-\frac{3}{2}\\=\frac{9-3}{4}\\=\frac{6}{4}\\=\frac{3}{2}\)
6. \(+\left(\frac{5}{4}\right)-\left(\frac{-2}{-7}\right)\\= \frac{5}{4}-\frac{2}{7}\\=\frac{35}{28}-\frac{8}{28}\\=\frac{35-8}{28}\\=\frac{27}{28}\)
7. \(-\left(\frac{2}{-3}\right)+\left(\frac{-10}{9}\right)\\= \frac{2}{3}-\frac{10}{9}\\=\frac{6}{9}-\frac{10}{9}\\=\frac{6-10}{9}\\=\frac{-4}{9}\)
8. \(+\left(\frac{15}{-11}\right)-\left(\frac{14}{9}\right)\\= \frac{-15}{11}-\frac{14}{9}\\=\frac{-135}{99}-\frac{154}{99}\\=\frac{-135-154}{99}\\=\frac{-289}{99}\)
9. \(-\left(\frac{4}{3}\right)-\left(\frac{-11}{10}\right)\\= \frac{-4}{3}+\frac{11}{10}\\=\frac{-40}{30}+\frac{33}{30}\\=\frac{-40+33}{30}\\=\frac{-7}{30}\)
10. \(-\left(\frac{7}{-13}\right)+\left(\frac{-9}{10}\right)\\= \frac{7}{13}-\frac{9}{10}\\=\frac{70}{130}-\frac{117}{130}\\=\frac{70-117}{130}\\=\frac{-47}{130}\)
11. \(+\left(\frac{5}{11}\right)+\left(\frac{-4}{11}\right)\\= \frac{5}{11}-\frac{4}{11}\\=\frac{5-4}{11}\\=\frac{1}{11}\)
12. \(-\left(\frac{11}{9}\right)+\left(\frac{4}{7}\right)\\= \frac{-11}{9}+\frac{4}{7}\\=\frac{-77}{63}+\frac{36}{63}\\=\frac{-77+36}{63}\\=\frac{-41}{63}\)