Breuken aftrekken (reeks 2)

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Trek de breuken af

1. \(\frac{-10}{17}-\frac{13}{8}\)
2. \(\frac{4}{3}-\frac{8}{15}\)
3. \(\frac{8}{15}-\frac{7}{8}\)
4. \(\frac{4}{7}-\frac{16}{13}\)
5. \(\frac{-10}{7}-\frac{6}{5}\)
6. \(\frac{17}{2}-\frac{12}{11}\)
7. \(\frac{-17}{7}-\frac{10}{3}\)
8. \(\frac{9}{7}-\frac{2}{7}\)
9. \(\frac{20}{7}-\frac{4}{11}\)
10. \(\frac{-13}{7}-\frac{13}{2}\)
11. \(\frac{8}{15}-\frac{6}{7}\)
12. \(\frac{13}{8}-\frac{18}{7}\)

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Trek de breuken af

Verbetersleutel

1. \(\frac{-10}{17}-\frac{13}{8}\\=\frac{-80}{136}-\frac{221}{136}\\=\frac{-80-221}{136}\\=\frac{-301}{136}\)
2. \(\frac{4}{3}-\frac{8}{15}\\=\frac{20}{15}-\frac{8}{15}\\=\frac{20-8}{15}\\=\frac{12}{15}\\=\frac{4}{5}\)
3. \(\frac{8}{15}-\frac{7}{8}\\=\frac{64}{120}-\frac{105}{120}\\=\frac{64-105}{120}\\=\frac{-41}{120}\)
4. \(\frac{4}{7}-\frac{16}{13}\\=\frac{52}{91}-\frac{112}{91}\\=\frac{52-112}{91}\\=\frac{-60}{91}\)
5. \(\frac{-10}{7}-\frac{6}{5}\\=\frac{-50}{35}-\frac{42}{35}\\=\frac{-50-42}{35}\\=\frac{-92}{35}\)
6. \(\frac{17}{2}-\frac{12}{11}\\=\frac{187}{22}-\frac{24}{22}\\=\frac{187-24}{22}\\=\frac{163}{22}\)
7. \(\frac{-17}{7}-\frac{10}{3}\\=\frac{-51}{21}-\frac{70}{21}\\=\frac{-51-70}{21}\\=\frac{-121}{21}\)
8. \(\frac{9}{7}-\frac{2}{7}\\=\frac{9-2}{7}\\=\frac{7}{7}\\=\frac{1}{1}\)
9. \(\frac{20}{7}-\frac{4}{11}\\=\frac{220}{77}-\frac{28}{77}\\=\frac{220-28}{77}\\=\frac{192}{77}\)
10. \(\frac{-13}{7}-\frac{13}{2}\\=\frac{-26}{14}-\frac{91}{14}\\=\frac{-26-91}{14}\\=\frac{-117}{14}\)
11. \(\frac{8}{15}-\frac{6}{7}\\=\frac{56}{105}-\frac{90}{105}\\=\frac{56-90}{105}\\=\frac{-34}{105}\)
12. \(\frac{13}{8}-\frac{18}{7}\\=\frac{91}{56}-\frac{144}{56}\\=\frac{91-144}{56}\\=\frac{-53}{56}\)