Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{13}{2}\right)-\left(\frac{3}{-8}\right)\\= \frac{13}{2}+\frac{3}{8}\\=\frac{52}{8}+\frac{3}{8}\\=\frac{52+3}{8}\\=\frac{55}{8}\)
2. \(+\left(\frac{-2}{5}\right)-\left(\frac{7}{12}\right)\\= \frac{-2}{5}-\frac{7}{12}\\=\frac{-24}{60}-\frac{35}{60}\\=\frac{-24-35}{60}\\=\frac{-59}{60}\)
3. \(+\left(\frac{14}{3}\right)-\left(\frac{10}{-7}\right)\\= \frac{14}{3}+\frac{10}{7}\\=\frac{98}{21}+\frac{30}{21}\\=\frac{98+30}{21}\\=\frac{128}{21}\)
4. \(+\left(\frac{15}{4}\right)+\left(\frac{-12}{-11}\right)\\= \frac{15}{4}+\frac{12}{11}\\=\frac{165}{44}+\frac{48}{44}\\=\frac{165+48}{44}\\=\frac{213}{44}\)
5. \(+\left(\frac{3}{-8}\right)+\left(\frac{14}{-11}\right)\\= \frac{-3}{8}-\frac{14}{11}\\=\frac{-33}{88}-\frac{112}{88}\\=\frac{-33-112}{88}\\=\frac{-145}{88}\)
6. \(-\left(\frac{10}{-9}\right)+\left(\frac{-11}{7}\right)\\= \frac{10}{9}-\frac{11}{7}\\=\frac{70}{63}-\frac{99}{63}\\=\frac{70-99}{63}\\=\frac{-29}{63}\)
7. \(+\left(\frac{-9}{8}\right)+\left(\frac{-15}{-11}\right)\\= \frac{-9}{8}+\frac{15}{11}\\=\frac{-99}{88}+\frac{120}{88}\\=\frac{-99+120}{88}\\=\frac{21}{88}\)
8. \(-\left(\frac{-10}{-3}\right)+\left(\frac{15}{-4}\right)\\= \frac{-10}{3}-\frac{15}{4}\\=\frac{-40}{12}-\frac{45}{12}\\=\frac{-40-45}{12}\\=\frac{-85}{12}\)
9. \(-\left(\frac{-2}{-3}\right)-\left(\frac{-11}{10}\right)\\= \frac{-2}{3}+\frac{11}{10}\\=\frac{-20}{30}+\frac{33}{30}\\=\frac{-20+33}{30}\\=\frac{13}{30}\)
10. \(-\left(\frac{13}{3}\right)-\left(\frac{13}{5}\right)\\= \frac{-13}{3}-\frac{13}{5}\\=\frac{-65}{15}-\frac{39}{15}\\=\frac{-65-39}{15}\\=\frac{-104}{15}\)
11. \(+\left(\frac{5}{-12}\right)+\left(\frac{-13}{-11}\right)\\= \frac{-5}{12}+\frac{13}{11}\\=\frac{-55}{132}+\frac{156}{132}\\=\frac{-55+156}{132}\\=\frac{101}{132}\)
12. \(-\left(\frac{-12}{-11}\right)+\left(\frac{-7}{10}\right)\\= \frac{-12}{11}-\frac{7}{10}\\=\frac{-120}{110}-\frac{77}{110}\\=\frac{-120-77}{110}\\=\frac{-197}{110}\)