Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{8}{3}\right)-\left(\frac{-11}{-7}\right)\\= \frac{8}{3}-\frac{11}{7}\\=\frac{56}{21}-\frac{33}{21}\\=\frac{56-33}{21}\\=\frac{23}{21}\)
2. \(-\left(\frac{10}{7}\right)-\left(\frac{-15}{13}\right)\\= \frac{-10}{7}+\frac{15}{13}\\=\frac{-130}{91}+\frac{105}{91}\\=\frac{-130+105}{91}\\=\frac{-25}{91}\)
3. \(-\left(\frac{-3}{-7}\right)-\left(\frac{6}{11}\right)\\= \frac{-3}{7}-\frac{6}{11}\\=\frac{-33}{77}-\frac{42}{77}\\=\frac{-33-42}{77}\\=\frac{-75}{77}\)
4. \(+\left(\frac{-7}{4}\right)+\left(\frac{-11}{14}\right)\\= \frac{-7}{4}-\frac{11}{14}\\=\frac{-49}{28}-\frac{22}{28}\\=\frac{-49-22}{28}\\=\frac{-71}{28}\)
5. \(-\left(\frac{7}{3}\right)-\left(\frac{-6}{-13}\right)\\= \frac{-7}{3}-\frac{6}{13}\\=\frac{-91}{39}-\frac{18}{39}\\=\frac{-91-18}{39}\\=\frac{-109}{39}\)
6. \(+\left(\frac{9}{7}\right)+\left(\frac{11}{3}\right)\\= \frac{9}{7}+\frac{11}{3}\\=\frac{27}{21}+\frac{77}{21}\\=\frac{27+77}{21}\\=\frac{104}{21}\)
7. \(-\left(\frac{-4}{3}\right)-\left(\frac{14}{9}\right)\\= \frac{4}{3}-\frac{14}{9}\\=\frac{12}{9}-\frac{14}{9}\\=\frac{12-14}{9}\\=\frac{-2}{9}\)
8. \(+\left(\frac{-6}{-5}\right)+\left(\frac{12}{-13}\right)\\= \frac{6}{5}-\frac{12}{13}\\=\frac{78}{65}-\frac{60}{65}\\=\frac{78-60}{65}\\=\frac{18}{65}\)
9. \(+\left(\frac{-12}{-7}\right)-\left(\frac{10}{-9}\right)\\= \frac{12}{7}+\frac{10}{9}\\=\frac{108}{63}+\frac{70}{63}\\=\frac{108+70}{63}\\=\frac{178}{63}\)
10. \(+\left(\frac{-13}{-6}\right)+\left(\frac{-11}{4}\right)\\= \frac{13}{6}-\frac{11}{4}\\=\frac{26}{12}-\frac{33}{12}\\=\frac{26-33}{12}\\=\frac{-7}{12}\)
11. \(-\left(\frac{13}{4}\right)+\left(\frac{15}{-2}\right)\\= \frac{-13}{4}-\frac{15}{2}\\=\frac{-13-15}{4}\\=\frac{-28}{4}\\=\frac{-7}{1}\)
12. \(+\left(\frac{-10}{3}\right)-\left(\frac{-14}{-9}\right)\\= \frac{-10}{3}-\frac{14}{9}\\=\frac{-30}{9}-\frac{14}{9}\\=\frac{-30-14}{9}\\=\frac{-44}{9}\)