Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{3}{4}\right)+\left(\frac{13}{-11}\right)\\= \frac{3}{4}-\frac{13}{11}\\=\frac{33}{44}-\frac{52}{44}\\=\frac{33-52}{44}\\=\frac{-19}{44}\)
2. \(-\left(\frac{15}{14}\right)+\left(\frac{-5}{12}\right)\\= \frac{-15}{14}-\frac{5}{12}\\=\frac{-90}{84}-\frac{35}{84}\\=\frac{-90-35}{84}\\=\frac{-125}{84}\)
3. \(-\left(\frac{-5}{-12}\right)-\left(\frac{-2}{9}\right)\\= \frac{-5}{12}+\frac{2}{9}\\=\frac{-15}{36}+\frac{8}{36}\\=\frac{-15+8}{36}\\=\frac{-7}{36}\)
4. \(-\left(\frac{7}{-8}\right)+\left(\frac{14}{13}\right)\\= \frac{7}{8}+\frac{14}{13}\\=\frac{91}{104}+\frac{112}{104}\\=\frac{91+112}{104}\\=\frac{203}{104}\)
5. \(+\left(\frac{15}{-7}\right)+\left(\frac{9}{-13}\right)\\= \frac{-15}{7}-\frac{9}{13}\\=\frac{-195}{91}-\frac{63}{91}\\=\frac{-195-63}{91}\\=\frac{-258}{91}\)
6. \(+\left(\frac{6}{-11}\right)-\left(\frac{-12}{7}\right)\\= \frac{-6}{11}+\frac{12}{7}\\=\frac{-42}{77}+\frac{132}{77}\\=\frac{-42+132}{77}\\=\frac{90}{77}\)
7. \(+\left(\frac{-2}{-3}\right)-\left(\frac{15}{-13}\right)\\= \frac{2}{3}+\frac{15}{13}\\=\frac{26}{39}+\frac{45}{39}\\=\frac{26+45}{39}\\=\frac{71}{39}\)
8. \(+\left(\frac{-10}{3}\right)+\left(\frac{13}{-14}\right)\\= \frac{-10}{3}-\frac{13}{14}\\=\frac{-140}{42}-\frac{39}{42}\\=\frac{-140-39}{42}\\=\frac{-179}{42}\)
9. \(+\left(\frac{3}{7}\right)+\left(\frac{-7}{12}\right)\\= \frac{3}{7}-\frac{7}{12}\\=\frac{36}{84}-\frac{49}{84}\\=\frac{36-49}{84}\\=\frac{-13}{84}\)
10. \(-\left(\frac{-10}{7}\right)+\left(\frac{4}{5}\right)\\= \frac{10}{7}+\frac{4}{5}\\=\frac{50}{35}+\frac{28}{35}\\=\frac{50+28}{35}\\=\frac{78}{35}\)
11. \(+\left(\frac{14}{-13}\right)+\left(\frac{5}{2}\right)\\= \frac{-14}{13}+\frac{5}{2}\\=\frac{-28}{26}+\frac{65}{26}\\=\frac{-28+65}{26}\\=\frac{37}{26}\)
12. \(+\left(\frac{-9}{7}\right)-\left(\frac{-14}{13}\right)\\= \frac{-9}{7}+\frac{14}{13}\\=\frac{-117}{91}+\frac{98}{91}\\=\frac{-117+98}{91}\\=\frac{-19}{91}\)