Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-13}{-4}\right)+\left(\frac{-14}{-9}\right)\\= \frac{-13}{4}+\frac{14}{9}\\=\frac{-117}{36}+\frac{56}{36}\\=\frac{-117+56}{36}\\=\frac{-61}{36}\)
2. \(-\left(\frac{14}{13}\right)+\left(\frac{-12}{13}\right)\\= \frac{-14}{13}-\frac{12}{13}\\=\frac{-14-12}{13}\\=\frac{-26}{13}\\=\frac{-2}{1}\)
3. \(+\left(\frac{-13}{2}\right)+\left(\frac{13}{3}\right)\\= \frac{-13}{2}+\frac{13}{3}\\=\frac{-39}{6}+\frac{26}{6}\\=\frac{-39+26}{6}\\=\frac{-13}{6}\)
4. \(-\left(\frac{3}{7}\right)+\left(\frac{-15}{-14}\right)\\= \frac{-3}{7}+\frac{15}{14}\\=\frac{-6}{14}+\frac{15}{14}\\=\frac{-6+15}{14}\\=\frac{9}{14}\)
5. \(-\left(\frac{11}{-7}\right)+\left(\frac{7}{15}\right)\\= \frac{11}{7}+\frac{7}{15}\\=\frac{165}{105}+\frac{49}{105}\\=\frac{165+49}{105}\\=\frac{214}{105}\)
6. \(+\left(\frac{-10}{7}\right)+\left(\frac{11}{-10}\right)\\= \frac{-10}{7}-\frac{11}{10}\\=\frac{-100}{70}-\frac{77}{70}\\=\frac{-100-77}{70}\\=\frac{-177}{70}\)
7. \(+\left(\frac{-12}{-5}\right)-\left(\frac{3}{14}\right)\\= \frac{12}{5}-\frac{3}{14}\\=\frac{168}{70}-\frac{15}{70}\\=\frac{168-15}{70}\\=\frac{153}{70}\)
8. \(+\left(\frac{-5}{3}\right)+\left(\frac{-5}{8}\right)\\= \frac{-5}{3}-\frac{5}{8}\\=\frac{-40}{24}-\frac{15}{24}\\=\frac{-40-15}{24}\\=\frac{-55}{24}\)
9. \(-\left(\frac{-4}{11}\right)+\left(\frac{15}{-2}\right)\\= \frac{4}{11}-\frac{15}{2}\\=\frac{8}{22}-\frac{165}{22}\\=\frac{8-165}{22}\\=\frac{-157}{22}\)
10. \(-\left(\frac{3}{10}\right)-\left(\frac{-15}{4}\right)\\= \frac{-3}{10}+\frac{15}{4}\\=\frac{-6}{20}+\frac{75}{20}\\=\frac{-6+75}{20}\\=\frac{69}{20}\)
11. \(+\left(\frac{6}{-7}\right)-\left(\frac{7}{-5}\right)\\= \frac{-6}{7}+\frac{7}{5}\\=\frac{-30}{35}+\frac{49}{35}\\=\frac{-30+49}{35}\\=\frac{19}{35}\)
12. \(-\left(\frac{10}{-9}\right)-\left(\frac{-4}{15}\right)\\= \frac{10}{9}+\frac{4}{15}\\=\frac{50}{45}+\frac{12}{45}\\=\frac{50+12}{45}\\=\frac{62}{45}\)