3. Приведите к общему знаменателю дроби: 1) 1/2 и 1/3 2) 2/5 и 1/2 3) 9/36 и 5/12 4) 3/4 и 1/6 5) 9/10 и 3/4 6) 11/12 и 3/8 7) 12/16 и 5/12 8) 13/18 и 3/10 9) 4/11 и 3/8

1) \(\frac{1}{2}\) и \(\frac{1}{3}\)

• НОК(2, 3) = 6
• \(\frac{1}{2} = \frac{1 \cdot 3}{2 \cdot 3} = \frac{3}{6}\)
• \(\frac{1}{3} = \frac{1 \cdot 2}{3 \cdot 2} = \frac{2}{6}\)

2) \(\frac{2}{5}\) и \(\frac{1}{2}\)

• НОК(5, 2) = 10
• \(\frac{2}{5} = \frac{2 \cdot 2}{5 \cdot 2} = \frac{4}{10}\)
• \(\frac{1}{2} = \frac{1 \cdot 5}{2 \cdot 5} = \frac{5}{10}\)

3) \(\frac{9}{36}\) и \(\frac{5}{12}\)

• НОК(36, 12) = 36
• \(\frac{9}{36} = \frac{9}{36}\)
• \(\frac{5}{12} = \frac{5 \cdot 3}{12 \cdot 3} = \frac{15}{36}\)

4) \(\frac{3}{4}\) и \(\frac{1}{6}\)

• НОК(4, 6) = 12
• \(\frac{3}{4} = \frac{3 \cdot 3}{4 \cdot 3} = \frac{9}{12}\)
• \(\frac{1}{6} = \frac{1 \cdot 2}{6 \cdot 2} = \frac{2}{12}\)

5) \(\frac{9}{10}\) и \(\frac{3}{4}\)

• НОК(10, 4) = 20
• \(\frac{9}{10} = \frac{9 \cdot 2}{10 \cdot 2} = \frac{18}{20}\)
• \(\frac{3}{4} = \frac{3 \cdot 5}{4 \cdot 5} = \frac{15}{20}\)

6) \(\frac{11}{12}\) и \(\frac{3}{8}\)

• НОК(12, 8) = 24
• \(\frac{11}{12} = \frac{11 \cdot 2}{12 \cdot 2} = \frac{22}{24}\)
• \(\frac{3}{8} = \frac{3 \cdot 3}{8 \cdot 3} = \frac{9}{24}\)

7) \(\frac{12}{16}\) и \(\frac{5}{12}\)

• НОК(16, 12) = 48
• \(\frac{12}{16} = \frac{12 \cdot 3}{16 \cdot 3} = \frac{36}{48}\)
• \(\frac{5}{12} = \frac{5 \cdot 4}{12 \cdot 4} = \frac{20}{48}\)

8) \(\frac{13}{18}\) и \(\frac{3}{10}\)

• НОК(18, 10) = 90
• \(\frac{13}{18} = \frac{13 \cdot 5}{18 \cdot 5} = \frac{65}{90}\)
• \(\frac{3}{10} = \frac{3 \cdot 9}{10 \cdot 9} = \frac{27}{90}\)

9) \(\frac{4}{11}\) и \(\frac{3}{8}\)

• НОК(11, 8) = 88
• \(\frac{4}{11} = \frac{4 \cdot 8}{11 \cdot 8} = \frac{32}{88}\)
• \(\frac{3}{8} = \frac{3 \cdot 11}{8 \cdot 11} = \frac{33}{88}\)