2. Сравните дроби: a) 3/5 и 23/24 б) 5/6 и 22/23

a) \(\frac{3}{5} = \frac{3 \cdot 24}{5 \cdot 24} = \frac{72}{120}\) и \(\frac{23}{24} = \frac{23 \cdot 5}{24 \cdot 5} = \frac{115}{120}\). Так как \(\frac{72}{120} < \frac{115}{120}\), то \(\frac{3}{5} < \frac{23}{24}\). б) \(\frac{5}{6} = \frac{5 \cdot 23}{6 \cdot 23} = \frac{115}{138}\) и \(\frac{22}{23} = \frac{22 \cdot 6}{23 \cdot 6} = \frac{132}{138}\). Так как \(\frac{115}{138} < \frac{132}{138}\), то \(\frac{5}{6} < \frac{22}{23}\).