Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{4}{9}\right)-\left(\frac{7}{3}\right)\\= \frac{4}{9}-\frac{7}{3}\\=\frac{4-7}{9}\\=\frac{-3}{9}\\=\frac{-1}{3}\)
2. \(+\left(\frac{-6}{11}\right)+\left(\frac{9}{-13}\right)\\= \frac{-6}{11}-\frac{9}{13}\\=\frac{-78}{143}-\frac{99}{143}\\=\frac{-78-99}{143}\\=\frac{-177}{143}\)
3. \(+\left(\frac{-2}{-9}\right)-\left(\frac{-12}{11}\right)\\= \frac{2}{9}+\frac{12}{11}\\=\frac{22}{99}+\frac{108}{99}\\=\frac{22+108}{99}\\=\frac{130}{99}\)
4. \(-\left(\frac{4}{13}\right)+\left(\frac{-2}{3}\right)\\= \frac{-4}{13}-\frac{2}{3}\\=\frac{-12}{39}-\frac{26}{39}\\=\frac{-12-26}{39}\\=\frac{-38}{39}\)
5. \(+\left(\frac{-10}{-3}\right)+\left(\frac{-3}{14}\right)\\= \frac{10}{3}-\frac{3}{14}\\=\frac{140}{42}-\frac{9}{42}\\=\frac{140-9}{42}\\=\frac{131}{42}\)
6. \(-\left(\frac{-14}{5}\right)-\left(\frac{14}{-9}\right)\\= \frac{14}{5}+\frac{14}{9}\\=\frac{126}{45}+\frac{70}{45}\\=\frac{126+70}{45}\\=\frac{196}{45}\)
7. \(-\left(\frac{3}{11}\right)+\left(\frac{-2}{-11}\right)\\= \frac{-3}{11}+\frac{2}{11}\\=\frac{-3+2}{11}\\=\frac{-1}{11}\)
8. \(-\left(\frac{9}{-7}\right)-\left(\frac{11}{-12}\right)\\= \frac{9}{7}+\frac{11}{12}\\=\frac{108}{84}+\frac{77}{84}\\=\frac{108+77}{84}\\=\frac{185}{84}\)
9. \(-\left(\frac{4}{-7}\right)-\left(\frac{6}{-11}\right)\\= \frac{4}{7}+\frac{6}{11}\\=\frac{44}{77}+\frac{42}{77}\\=\frac{44+42}{77}\\=\frac{86}{77}\)
10. \(-\left(\frac{6}{-5}\right)+\left(\frac{2}{-9}\right)\\= \frac{6}{5}-\frac{2}{9}\\=\frac{54}{45}-\frac{10}{45}\\=\frac{54-10}{45}\\=\frac{44}{45}\)
11. \(-\left(\frac{3}{7}\right)+\left(\frac{13}{10}\right)\\= \frac{-3}{7}+\frac{13}{10}\\=\frac{-30}{70}+\frac{91}{70}\\=\frac{-30+91}{70}\\=\frac{61}{70}\)
12. \(+\left(\frac{6}{11}\right)+\left(\frac{12}{5}\right)\\= \frac{6}{11}+\frac{12}{5}\\=\frac{30}{55}+\frac{132}{55}\\=\frac{30+132}{55}\\=\frac{162}{55}\)