Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{9}\right)+\left(\frac{-8}{9}\right)\\= \frac{-2}{9}-\frac{8}{9}\\=\frac{-2-8}{9}\\=\frac{-10}{9}\)
2. \(+\left(\frac{11}{4}\right)+\left(\frac{10}{3}\right)\\= \frac{11}{4}+\frac{10}{3}\\=\frac{33}{12}+\frac{40}{12}\\=\frac{33+40}{12}\\=\frac{73}{12}\)
3. \(+\left(\frac{-15}{-11}\right)-\left(\frac{12}{7}\right)\\= \frac{15}{11}-\frac{12}{7}\\=\frac{105}{77}-\frac{132}{77}\\=\frac{105-132}{77}\\=\frac{-27}{77}\)
4. \(+\left(\frac{-9}{10}\right)-\left(\frac{-2}{7}\right)\\= \frac{-9}{10}+\frac{2}{7}\\=\frac{-63}{70}+\frac{20}{70}\\=\frac{-63+20}{70}\\=\frac{-43}{70}\)
5. \(+\left(\frac{2}{-13}\right)+\left(\frac{6}{-5}\right)\\= \frac{-2}{13}-\frac{6}{5}\\=\frac{-10}{65}-\frac{78}{65}\\=\frac{-10-78}{65}\\=\frac{-88}{65}\)
6. \(+\left(\frac{12}{11}\right)-\left(\frac{2}{5}\right)\\= \frac{12}{11}-\frac{2}{5}\\=\frac{60}{55}-\frac{22}{55}\\=\frac{60-22}{55}\\=\frac{38}{55}\)
7. \(-\left(\frac{-8}{-5}\right)+\left(\frac{13}{14}\right)\\= \frac{-8}{5}+\frac{13}{14}\\=\frac{-112}{70}+\frac{65}{70}\\=\frac{-112+65}{70}\\=\frac{-47}{70}\)
8. \(+\left(\frac{11}{12}\right)+\left(\frac{2}{9}\right)\\= \frac{11}{12}+\frac{2}{9}\\=\frac{33}{36}+\frac{8}{36}\\=\frac{33+8}{36}\\=\frac{41}{36}\)
9. \(+\left(\frac{-3}{13}\right)-\left(\frac{3}{10}\right)\\= \frac{-3}{13}-\frac{3}{10}\\=\frac{-30}{130}-\frac{39}{130}\\=\frac{-30-39}{130}\\=\frac{-69}{130}\)
10. \(+\left(\frac{-4}{-3}\right)+\left(\frac{4}{-13}\right)\\= \frac{4}{3}-\frac{4}{13}\\=\frac{52}{39}-\frac{12}{39}\\=\frac{52-12}{39}\\=\frac{40}{39}\)
11. \(+\left(\frac{12}{-11}\right)+\left(\frac{-13}{-14}\right)\\= \frac{-12}{11}+\frac{13}{14}\\=\frac{-168}{154}+\frac{143}{154}\\=\frac{-168+143}{154}\\=\frac{-25}{154}\)
12. \(-\left(\frac{-3}{14}\right)+\left(\frac{-11}{14}\right)\\= \frac{3}{14}-\frac{11}{14}\\=\frac{3-11}{14}\\=\frac{-8}{14}\\=\frac{-4}{7}\)