Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{-11}\right)+\left(\frac{4}{-9}\right)\\= \frac{2}{11}-\frac{4}{9}\\=\frac{18}{99}-\frac{44}{99}\\=\frac{18-44}{99}\\=\frac{-26}{99}\)
2. \(+\left(\frac{4}{-5}\right)+\left(\frac{13}{-5}\right)\\= \frac{-4}{5}-\frac{13}{5}\\=\frac{-4-13}{5}\\=\frac{-17}{5}\)
3. \(-\left(\frac{13}{3}\right)+\left(\frac{15}{-13}\right)\\= \frac{-13}{3}-\frac{15}{13}\\=\frac{-169}{39}-\frac{45}{39}\\=\frac{-169-45}{39}\\=\frac{-214}{39}\)
4. \(-\left(\frac{-12}{5}\right)+\left(\frac{15}{2}\right)\\= \frac{12}{5}+\frac{15}{2}\\=\frac{24}{10}+\frac{75}{10}\\=\frac{24+75}{10}\\=\frac{99}{10}\)
5. \(+\left(\frac{9}{13}\right)+\left(\frac{3}{7}\right)\\= \frac{9}{13}+\frac{3}{7}\\=\frac{63}{91}+\frac{39}{91}\\=\frac{63+39}{91}\\=\frac{102}{91}\)
6. \(+\left(\frac{-12}{5}\right)-\left(\frac{-4}{13}\right)\\= \frac{-12}{5}+\frac{4}{13}\\=\frac{-156}{65}+\frac{20}{65}\\=\frac{-156+20}{65}\\=\frac{-136}{65}\)
7. \(+\left(\frac{15}{-7}\right)-\left(\frac{9}{10}\right)\\= \frac{-15}{7}-\frac{9}{10}\\=\frac{-150}{70}-\frac{63}{70}\\=\frac{-150-63}{70}\\=\frac{-213}{70}\)
8. \(-\left(\frac{-5}{13}\right)-\left(\frac{-9}{-7}\right)\\= \frac{5}{13}-\frac{9}{7}\\=\frac{35}{91}-\frac{117}{91}\\=\frac{35-117}{91}\\=\frac{-82}{91}\)
9. \(+\left(\frac{4}{-3}\right)+\left(\frac{-3}{8}\right)\\= \frac{-4}{3}-\frac{3}{8}\\=\frac{-32}{24}-\frac{9}{24}\\=\frac{-32-9}{24}\\=\frac{-41}{24}\)
10. \(+\left(\frac{-9}{11}\right)+\left(\frac{13}{-12}\right)\\= \frac{-9}{11}-\frac{13}{12}\\=\frac{-108}{132}-\frac{143}{132}\\=\frac{-108-143}{132}\\=\frac{-251}{132}\)
11. \(-\left(\frac{6}{-13}\right)-\left(\frac{6}{5}\right)\\= \frac{6}{13}-\frac{6}{5}\\=\frac{30}{65}-\frac{78}{65}\\=\frac{30-78}{65}\\=\frac{-48}{65}\)
12. \(+\left(\frac{-7}{5}\right)-\left(\frac{-4}{-13}\right)\\= \frac{-7}{5}-\frac{4}{13}\\=\frac{-91}{65}-\frac{20}{65}\\=\frac{-91-20}{65}\\=\frac{-111}{65}\)