Breuken aftrekken (reeks 2)

Hoofdmenu Eentje per keer  🖨

Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{3}{2}-\frac{5}{11}\\=\frac{33}{22}-\frac{10}{22}\\=\frac{33-10}{22}\\=\frac{23}{22}\)
2. \(\frac{-8}{3}-\frac{11}{14}\\=\frac{-112}{42}-\frac{33}{42}\\=\frac{-112-33}{42}\\=\frac{-145}{42}\)
3. \(\frac{-20}{3}-\frac{8}{15}\\=\frac{-100}{15}-\frac{8}{15}\\=\frac{-100-8}{15}\\=\frac{-108}{15}\\=\frac{-36}{5}\)
4. \(\frac{9}{5}-\frac{9}{2}\\=\frac{18}{10}-\frac{45}{10}\\=\frac{18-45}{10}\\=\frac{-27}{10}\)
5. \(\frac{-15}{2}-\frac{12}{5}\\=\frac{-75}{10}-\frac{24}{10}\\=\frac{-75-24}{10}\\=\frac{-99}{10}\)
6. \(\frac{-11}{17}-\frac{17}{16}\\=\frac{-176}{272}-\frac{289}{272}\\=\frac{-176-289}{272}\\=\frac{-465}{272}\)
7. \(\frac{-3}{10}-\frac{10}{11}\\=\frac{-33}{110}-\frac{100}{110}\\=\frac{-33-100}{110}\\=\frac{-133}{110}\)
8. \(\frac{7}{12}-\frac{8}{5}\\=\frac{35}{60}-\frac{96}{60}\\=\frac{35-96}{60}\\=\frac{-61}{60}\)
9. \(\frac{-13}{7}-\frac{7}{19}\\=\frac{-247}{133}-\frac{49}{133}\\=\frac{-247-49}{133}\\=\frac{-296}{133}\)
10. \(\frac{4}{3}-\frac{3}{7}\\=\frac{28}{21}-\frac{9}{21}\\=\frac{28-9}{21}\\=\frac{19}{21}\)
11. \(\frac{3}{14}-\frac{8}{3}\\=\frac{9}{42}-\frac{112}{42}\\=\frac{9-112}{42}\\=\frac{-103}{42}\)
12. \(\frac{-13}{15}-\frac{5}{14}\\=\frac{-182}{210}-\frac{75}{210}\\=\frac{-182-75}{210}\\=\frac{-257}{210}\)