Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{12}{-5}\right)-\left(\frac{-15}{4}\right)\\= \frac{-12}{5}+\frac{15}{4}\\=\frac{-48}{20}+\frac{75}{20}\\=\frac{-48+75}{20}\\=\frac{27}{20}\)
2. \(+\left(\frac{-9}{7}\right)+\left(\frac{-13}{3}\right)\\= \frac{-9}{7}-\frac{13}{3}\\=\frac{-27}{21}-\frac{91}{21}\\=\frac{-27-91}{21}\\=\frac{-118}{21}\)
3. \(-\left(\frac{-8}{-11}\right)-\left(\frac{3}{-4}\right)\\= \frac{-8}{11}+\frac{3}{4}\\=\frac{-32}{44}+\frac{33}{44}\\=\frac{-32+33}{44}\\=\frac{1}{44}\)
4. \(-\left(\frac{5}{-3}\right)+\left(\frac{-4}{-5}\right)\\= \frac{5}{3}+\frac{4}{5}\\=\frac{25}{15}+\frac{12}{15}\\=\frac{25+12}{15}\\=\frac{37}{15}\)
5. \(-\left(\frac{-5}{-14}\right)-\left(\frac{7}{12}\right)\\= \frac{-5}{14}-\frac{7}{12}\\=\frac{-30}{84}-\frac{49}{84}\\=\frac{-30-49}{84}\\=\frac{-79}{84}\)
6. \(-\left(\frac{4}{7}\right)-\left(\frac{-6}{-5}\right)\\= \frac{-4}{7}-\frac{6}{5}\\=\frac{-20}{35}-\frac{42}{35}\\=\frac{-20-42}{35}\\=\frac{-62}{35}\)
7. \(+\left(\frac{-11}{-10}\right)-\left(\frac{-14}{-13}\right)\\= \frac{11}{10}-\frac{14}{13}\\=\frac{143}{130}-\frac{140}{130}\\=\frac{143-140}{130}\\=\frac{3}{130}\)
8. \(+\left(\frac{13}{2}\right)+\left(\frac{3}{5}\right)\\= \frac{13}{2}+\frac{3}{5}\\=\frac{65}{10}+\frac{6}{10}\\=\frac{65+6}{10}\\=\frac{71}{10}\)
9. \(+\left(\frac{-9}{2}\right)+\left(\frac{-8}{-7}\right)\\= \frac{-9}{2}+\frac{8}{7}\\=\frac{-63}{14}+\frac{16}{14}\\=\frac{-63+16}{14}\\=\frac{-47}{14}\)
10. \(-\left(\frac{-3}{-4}\right)-\left(\frac{7}{2}\right)\\= \frac{-3}{4}-\frac{7}{2}\\=\frac{-3-7}{4}\\=\frac{-10}{4}\\=\frac{-5}{2}\)
11. \(+\left(\frac{7}{2}\right)-\left(\frac{-15}{-2}\right)\\= \frac{7}{2}-\frac{15}{2}\\=\frac{7-15}{2}\\=\frac{-8}{2}\\=\frac{-4}{1}\)
12. \(+\left(\frac{4}{-11}\right)+\left(\frac{2}{-9}\right)\\= \frac{-4}{11}-\frac{2}{9}\\=\frac{-36}{99}-\frac{22}{99}\\=\frac{-36-22}{99}\\=\frac{-58}{99}\)