Breuken aftrekken (reeks 2)

Hoofdmenu Eentje per keer  🖨

Trek de breuken af

1. \(\frac{5}{12}-\frac{12}{11}\)
2. \(\frac{3}{16}-\frac{12}{5}\)
3. \(\frac{10}{17}-\frac{4}{17}\)
4. \(\frac{2}{13}-\frac{20}{7}\)
5. \(\frac{-13}{7}-\frac{8}{15}\)
6. \(\frac{15}{8}-\frac{7}{8}\)
7. \(\frac{-8}{19}-\frac{15}{11}\)
8. \(\frac{14}{3}-\frac{9}{10}\)
9. \(\frac{5}{13}-\frac{15}{14}\)
10. \(\frac{8}{7}-\frac{4}{11}\)
11. \(\frac{-7}{11}-\frac{3}{4}\)
12. \(\frac{-10}{17}-\frac{4}{17}\)

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Trek de breuken af

Verbetersleutel

1. \(\frac{5}{12}-\frac{12}{11}\\=\frac{55}{132}-\frac{144}{132}\\=\frac{55-144}{132}\\=\frac{-89}{132}\)
2. \(\frac{3}{16}-\frac{12}{5}\\=\frac{15}{80}-\frac{192}{80}\\=\frac{15-192}{80}\\=\frac{-177}{80}\)
3. \(\frac{10}{17}-\frac{4}{17}\\=\frac{10-4}{17}\\=\frac{6}{17}\)
4. \(\frac{2}{13}-\frac{20}{7}\\=\frac{14}{91}-\frac{260}{91}\\=\frac{14-260}{91}\\=\frac{-246}{91}\)
5. \(\frac{-13}{7}-\frac{8}{15}\\=\frac{-195}{105}-\frac{56}{105}\\=\frac{-195-56}{105}\\=\frac{-251}{105}\)
6. \(\frac{15}{8}-\frac{7}{8}\\=\frac{15-7}{8}\\=\frac{8}{8}\\=\frac{1}{1}\)
7. \(\frac{-8}{19}-\frac{15}{11}\\=\frac{-88}{209}-\frac{285}{209}\\=\frac{-88-285}{209}\\=\frac{-373}{209}\)
8. \(\frac{14}{3}-\frac{9}{10}\\=\frac{140}{30}-\frac{27}{30}\\=\frac{140-27}{30}\\=\frac{113}{30}\)
9. \(\frac{5}{13}-\frac{15}{14}\\=\frac{70}{182}-\frac{195}{182}\\=\frac{70-195}{182}\\=\frac{-125}{182}\)
10. \(\frac{8}{7}-\frac{4}{11}\\=\frac{88}{77}-\frac{28}{77}\\=\frac{88-28}{77}\\=\frac{60}{77}\)
11. \(\frac{-7}{11}-\frac{3}{4}\\=\frac{-28}{44}-\frac{33}{44}\\=\frac{-28-33}{44}\\=\frac{-61}{44}\)
12. \(\frac{-10}{17}-\frac{4}{17}\\=\frac{-10-4}{17}\\=\frac{-14}{17}\)