Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-15}{-4}\right)-\left(\frac{-14}{-5}\right)\\= \frac{15}{4}-\frac{14}{5}\\=\frac{75}{20}-\frac{56}{20}\\=\frac{75-56}{20}\\=\frac{19}{20}\)
2. \(-\left(\frac{-2}{-9}\right)+\left(\frac{15}{-4}\right)\\= \frac{-2}{9}-\frac{15}{4}\\=\frac{-8}{36}-\frac{135}{36}\\=\frac{-8-135}{36}\\=\frac{-143}{36}\)
3. \(-\left(\frac{-8}{3}\right)+\left(\frac{2}{7}\right)\\= \frac{8}{3}+\frac{2}{7}\\=\frac{56}{21}+\frac{6}{21}\\=\frac{56+6}{21}\\=\frac{62}{21}\)
4. \(+\left(\frac{-14}{9}\right)-\left(\frac{-8}{-3}\right)\\= \frac{-14}{9}-\frac{8}{3}\\=\frac{-14-8}{9}\\=\frac{-22}{9}\)
5. \(+\left(\frac{14}{-9}\right)+\left(\frac{-13}{-2}\right)\\= \frac{-14}{9}+\frac{13}{2}\\=\frac{-28}{18}+\frac{117}{18}\\=\frac{-28+117}{18}\\=\frac{89}{18}\)
6. \(-\left(\frac{4}{9}\right)+\left(\frac{-15}{-11}\right)\\= \frac{-4}{9}+\frac{15}{11}\\=\frac{-44}{99}+\frac{135}{99}\\=\frac{-44+135}{99}\\=\frac{91}{99}\)
7. \(-\left(\frac{-15}{7}\right)-\left(\frac{15}{-8}\right)\\= \frac{15}{7}+\frac{15}{8}\\=\frac{120}{56}+\frac{105}{56}\\=\frac{120+105}{56}\\=\frac{225}{56}\)
8. \(-\left(\frac{-12}{-7}\right)+\left(\frac{-9}{-5}\right)\\= \frac{-12}{7}+\frac{9}{5}\\=\frac{-60}{35}+\frac{63}{35}\\=\frac{-60+63}{35}\\=\frac{3}{35}\)
9. \(+\left(\frac{4}{-9}\right)-\left(\frac{-7}{11}\right)\\= \frac{-4}{9}+\frac{7}{11}\\=\frac{-44}{99}+\frac{63}{99}\\=\frac{-44+63}{99}\\=\frac{19}{99}\)
10. \(+\left(\frac{-7}{9}\right)-\left(\frac{-9}{-4}\right)\\= \frac{-7}{9}-\frac{9}{4}\\=\frac{-28}{36}-\frac{81}{36}\\=\frac{-28-81}{36}\\=\frac{-109}{36}\)
11. \(-\left(\frac{-11}{-3}\right)+\left(\frac{9}{-4}\right)\\= \frac{-11}{3}-\frac{9}{4}\\=\frac{-44}{12}-\frac{27}{12}\\=\frac{-44-27}{12}\\=\frac{-71}{12}\)
12. \(+\left(\frac{3}{2}\right)-\left(\frac{12}{-11}\right)\\= \frac{3}{2}+\frac{12}{11}\\=\frac{33}{22}+\frac{24}{22}\\=\frac{33+24}{22}\\=\frac{57}{22}\)