Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{8}{7}\right)-\left(\frac{-8}{13}\right)\\= \frac{8}{7}+\frac{8}{13}\\=\frac{104}{91}+\frac{56}{91}\\=\frac{104+56}{91}\\=\frac{160}{91}\)
2. \(-\left(\frac{7}{2}\right)-\left(\frac{-13}{-4}\right)\\= \frac{-7}{2}-\frac{13}{4}\\=\frac{-14}{4}-\frac{13}{4}\\=\frac{-14-13}{4}\\=\frac{-27}{4}\)
3. \(-\left(\frac{-8}{-9}\right)-\left(\frac{-9}{14}\right)\\= \frac{-8}{9}+\frac{9}{14}\\=\frac{-112}{126}+\frac{81}{126}\\=\frac{-112+81}{126}\\=\frac{-31}{126}\)
4. \(-\left(\frac{-10}{3}\right)+\left(\frac{6}{-7}\right)\\= \frac{10}{3}-\frac{6}{7}\\=\frac{70}{21}-\frac{18}{21}\\=\frac{70-18}{21}\\=\frac{52}{21}\)
5. \(-\left(\frac{-7}{8}\right)+\left(\frac{15}{7}\right)\\= \frac{7}{8}+\frac{15}{7}\\=\frac{49}{56}+\frac{120}{56}\\=\frac{49+120}{56}\\=\frac{169}{56}\)
6. \(+\left(\frac{-6}{-5}\right)-\left(\frac{-5}{14}\right)\\= \frac{6}{5}+\frac{5}{14}\\=\frac{84}{70}+\frac{25}{70}\\=\frac{84+25}{70}\\=\frac{109}{70}\)
7. \(-\left(\frac{12}{-5}\right)+\left(\frac{-3}{4}\right)\\= \frac{12}{5}-\frac{3}{4}\\=\frac{48}{20}-\frac{15}{20}\\=\frac{48-15}{20}\\=\frac{33}{20}\)
8. \(+\left(\frac{-2}{-5}\right)-\left(\frac{2}{-9}\right)\\= \frac{2}{5}+\frac{2}{9}\\=\frac{18}{45}+\frac{10}{45}\\=\frac{18+10}{45}\\=\frac{28}{45}\)
9. \(+\left(\frac{5}{14}\right)+\left(\frac{3}{5}\right)\\= \frac{5}{14}+\frac{3}{5}\\=\frac{25}{70}+\frac{42}{70}\\=\frac{25+42}{70}\\=\frac{67}{70}\)
10. \(-\left(\frac{13}{14}\right)+\left(\frac{-5}{-3}\right)\\= \frac{-13}{14}+\frac{5}{3}\\=\frac{-39}{42}+\frac{70}{42}\\=\frac{-39+70}{42}\\=\frac{31}{42}\)
11. \(-\left(\frac{-8}{-3}\right)+\left(\frac{8}{3}\right)\\= \frac{-8}{3}+\frac{8}{3}\\=\frac{-8+8}{3}\\=\frac{0}{3}\\=\frac{0}{1}\)
12. \(+\left(\frac{-14}{-9}\right)+\left(\frac{-6}{11}\right)\\= \frac{14}{9}-\frac{6}{11}\\=\frac{154}{99}-\frac{54}{99}\\=\frac{154-54}{99}\\=\frac{100}{99}\)