Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-3}{-2}\right)+\left(\frac{-11}{-8}\right)\\= \frac{3}{2}+\frac{11}{8}\\=\frac{12}{8}+\frac{11}{8}\\=\frac{12+11}{8}\\=\frac{23}{8}\)
2. \(-\left(\frac{-6}{13}\right)+\left(\frac{14}{9}\right)\\= \frac{6}{13}+\frac{14}{9}\\=\frac{54}{117}+\frac{182}{117}\\=\frac{54+182}{117}\\=\frac{236}{117}\)
3. \(+\left(\frac{14}{3}\right)+\left(\frac{-13}{3}\right)\\= \frac{14}{3}-\frac{13}{3}\\=\frac{14-13}{3}\\=\frac{1}{3}\)
4. \(+\left(\frac{-6}{5}\right)-\left(\frac{-9}{-4}\right)\\= \frac{-6}{5}-\frac{9}{4}\\=\frac{-24}{20}-\frac{45}{20}\\=\frac{-24-45}{20}\\=\frac{-69}{20}\)
5. \(+\left(\frac{15}{11}\right)-\left(\frac{-7}{2}\right)\\= \frac{15}{11}+\frac{7}{2}\\=\frac{30}{22}+\frac{77}{22}\\=\frac{30+77}{22}\\=\frac{107}{22}\)
6. \(+\left(\frac{11}{-8}\right)+\left(\frac{-5}{-4}\right)\\= \frac{-11}{8}+\frac{5}{4}\\=\frac{-11+5}{8}\\=\frac{-6}{8}\\=\frac{-3}{4}\)
7. \(+\left(\frac{-13}{-10}\right)-\left(\frac{-13}{7}\right)\\= \frac{13}{10}+\frac{13}{7}\\=\frac{91}{70}+\frac{130}{70}\\=\frac{91+130}{70}\\=\frac{221}{70}\)
8. \(+\left(\frac{5}{-2}\right)-\left(\frac{13}{-6}\right)\\= \frac{-5}{2}+\frac{13}{6}\\=\frac{-15}{6}+\frac{13}{6}\\=\frac{-15+13}{6}\\=\frac{-2}{6}\\=\frac{-1}{3}\)
9. \(+\left(\frac{-13}{2}\right)+\left(\frac{7}{-4}\right)\\= \frac{-13}{2}-\frac{7}{4}\\=\frac{-26}{4}-\frac{7}{4}\\=\frac{-26-7}{4}\\=\frac{-33}{4}\)
10. \(+\left(\frac{15}{2}\right)+\left(\frac{14}{3}\right)\\= \frac{15}{2}+\frac{14}{3}\\=\frac{45}{6}+\frac{28}{6}\\=\frac{45+28}{6}\\=\frac{73}{6}\)
11. \(-\left(\frac{15}{-13}\right)+\left(\frac{-6}{11}\right)\\= \frac{15}{13}-\frac{6}{11}\\=\frac{165}{143}-\frac{78}{143}\\=\frac{165-78}{143}\\=\frac{87}{143}\)
12. \(-\left(\frac{5}{6}\right)-\left(\frac{7}{-11}\right)\\= \frac{-5}{6}+\frac{7}{11}\\=\frac{-55}{66}+\frac{42}{66}\\=\frac{-55+42}{66}\\=\frac{-13}{66}\)