Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{13}{-7}\right)-\left(\frac{3}{-10}\right)\\= \frac{-13}{7}+\frac{3}{10}\\=\frac{-130}{70}+\frac{21}{70}\\=\frac{-130+21}{70}\\=\frac{-109}{70}\)
2. \(-\left(\frac{-12}{7}\right)+\left(\frac{13}{-8}\right)\\= \frac{12}{7}-\frac{13}{8}\\=\frac{96}{56}-\frac{91}{56}\\=\frac{96-91}{56}\\=\frac{5}{56}\)
3. \(+\left(\frac{-7}{-12}\right)-\left(\frac{-5}{-7}\right)\\= \frac{7}{12}-\frac{5}{7}\\=\frac{49}{84}-\frac{60}{84}\\=\frac{49-60}{84}\\=\frac{-11}{84}\)
4. \(+\left(\frac{-13}{-2}\right)-\left(\frac{-12}{7}\right)\\= \frac{13}{2}+\frac{12}{7}\\=\frac{91}{14}+\frac{24}{14}\\=\frac{91+24}{14}\\=\frac{115}{14}\)
5. \(-\left(\frac{-4}{9}\right)+\left(\frac{-11}{-10}\right)\\= \frac{4}{9}+\frac{11}{10}\\=\frac{40}{90}+\frac{99}{90}\\=\frac{40+99}{90}\\=\frac{139}{90}\)
6. \(-\left(\frac{-12}{-13}\right)-\left(\frac{2}{-11}\right)\\= \frac{-12}{13}+\frac{2}{11}\\=\frac{-132}{143}+\frac{26}{143}\\=\frac{-132+26}{143}\\=\frac{-106}{143}\)
7. \(+\left(\frac{10}{-13}\right)+\left(\frac{-2}{13}\right)\\= \frac{-10}{13}-\frac{2}{13}\\=\frac{-10-2}{13}\\=\frac{-12}{13}\)
8. \(-\left(\frac{-10}{-3}\right)+\left(\frac{4}{-9}\right)\\= \frac{-10}{3}-\frac{4}{9}\\=\frac{-30}{9}-\frac{4}{9}\\=\frac{-30-4}{9}\\=\frac{-34}{9}\)
9. \(+\left(\frac{15}{-8}\right)-\left(\frac{-15}{8}\right)\\= \frac{-15}{8}+\frac{15}{8}\\=\frac{-15+15}{8}\\=\frac{0}{8}\\=\frac{0}{1}\)
10. \(-\left(\frac{9}{14}\right)-\left(\frac{-12}{5}\right)\\= \frac{-9}{14}+\frac{12}{5}\\=\frac{-45}{70}+\frac{168}{70}\\=\frac{-45+168}{70}\\=\frac{123}{70}\)
11. \(-\left(\frac{-13}{11}\right)-\left(\frac{3}{-14}\right)\\= \frac{13}{11}+\frac{3}{14}\\=\frac{182}{154}+\frac{33}{154}\\=\frac{182+33}{154}\\=\frac{215}{154}\)
12. \(+\left(\frac{13}{-14}\right)-\left(\frac{-12}{13}\right)\\= \frac{-13}{14}+\frac{12}{13}\\=\frac{-169}{182}+\frac{168}{182}\\=\frac{-169+168}{182}\\=\frac{-1}{182}\)