Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{8}{13}\right)-\left(\frac{4}{3}\right)\\= \frac{-8}{13}-\frac{4}{3}\\=\frac{-24}{39}-\frac{52}{39}\\=\frac{-24-52}{39}\\=\frac{-76}{39}\)
2. \(+\left(\frac{11}{13}\right)-\left(\frac{6}{-11}\right)\\= \frac{11}{13}+\frac{6}{11}\\=\frac{121}{143}+\frac{78}{143}\\=\frac{121+78}{143}\\=\frac{199}{143}\)
3. \(+\left(\frac{-7}{-12}\right)-\left(\frac{10}{13}\right)\\= \frac{7}{12}-\frac{10}{13}\\=\frac{91}{156}-\frac{120}{156}\\=\frac{91-120}{156}\\=\frac{-29}{156}\)
4. \(+\left(\frac{11}{10}\right)-\left(\frac{-12}{-11}\right)\\= \frac{11}{10}-\frac{12}{11}\\=\frac{121}{110}-\frac{120}{110}\\=\frac{121-120}{110}\\=\frac{1}{110}\)
5. \(-\left(\frac{-15}{-11}\right)-\left(\frac{5}{4}\right)\\= \frac{-15}{11}-\frac{5}{4}\\=\frac{-60}{44}-\frac{55}{44}\\=\frac{-60-55}{44}\\=\frac{-115}{44}\)
6. \(+\left(\frac{8}{-7}\right)-\left(\frac{-11}{5}\right)\\= \frac{-8}{7}+\frac{11}{5}\\=\frac{-40}{35}+\frac{77}{35}\\=\frac{-40+77}{35}\\=\frac{37}{35}\)
7. \(-\left(\frac{-10}{3}\right)+\left(\frac{-7}{9}\right)\\= \frac{10}{3}-\frac{7}{9}\\=\frac{30}{9}-\frac{7}{9}\\=\frac{30-7}{9}\\=\frac{23}{9}\)
8. \(-\left(\frac{-15}{2}\right)-\left(\frac{-14}{-3}\right)\\= \frac{15}{2}-\frac{14}{3}\\=\frac{45}{6}-\frac{28}{6}\\=\frac{45-28}{6}\\=\frac{17}{6}\)
9. \(-\left(\frac{-12}{-11}\right)+\left(\frac{-4}{-3}\right)\\= \frac{-12}{11}+\frac{4}{3}\\=\frac{-36}{33}+\frac{44}{33}\\=\frac{-36+44}{33}\\=\frac{8}{33}\)
10. \(-\left(\frac{11}{-9}\right)-\left(\frac{-13}{11}\right)\\= \frac{11}{9}+\frac{13}{11}\\=\frac{121}{99}+\frac{117}{99}\\=\frac{121+117}{99}\\=\frac{238}{99}\)
11. \(-\left(\frac{10}{7}\right)+\left(\frac{-15}{-4}\right)\\= \frac{-10}{7}+\frac{15}{4}\\=\frac{-40}{28}+\frac{105}{28}\\=\frac{-40+105}{28}\\=\frac{65}{28}\)
12. \(+\left(\frac{2}{11}\right)-\left(\frac{-3}{2}\right)\\= \frac{2}{11}+\frac{3}{2}\\=\frac{4}{22}+\frac{33}{22}\\=\frac{4+33}{22}\\=\frac{37}{22}\)