Задание № 1: Приведите дроби к указанным знаменателям

Задание № 1

Знаменатель 6:

\(\frac{10}{12} = \frac{10 \div 2}{12 \div 2} = \frac{5}{6}\), \(\frac{1}{2} = \frac{1 \cdot 3}{2 \cdot 3} = \frac{3}{6}\), \(\frac{4}{8} = \frac{4 \div 2}{8 \div 2} = \frac{2}{4} = \frac{1}{2} = \frac{3}{6}\), \(7 = \frac{7}{1} = \frac{7 \cdot 6}{1 \cdot 6} = \frac{42}{6}\), \(\frac{17}{34} = \frac{17 \div 17}{34 \div 17} = \frac{1}{2} = \frac{3}{6}\)

Знаменатель 18:

\(\frac{21}{54} = \frac{21 \div 3}{54 \div 3} = \frac{7}{18}\), \(\frac{2}{9} = \frac{2 \cdot 2}{9 \cdot 2} = \frac{4}{18}\), \(2 = \frac{2}{1} = \frac{2 \cdot 18}{1 \cdot 18} = \frac{36}{18}\), \(\frac{15}{27} = \frac{15 \div 3}{27 \div 3} = \frac{5}{9} = \frac{5 \cdot 2}{9 \cdot 2} = \frac{10}{18}\), \(\frac{65}{78} = \frac{65 \div 13}{78 \div 13} = \frac{5}{6} = \frac{5 \cdot 3}{6 \cdot 3} = \frac{15}{18}\)

Знаменатель 28:

\(\frac{6}{56} = \frac{6 \div 2}{56 \div 2} = \frac{3}{28}\), \(\frac{3}{4} = \frac{3 \cdot 7}{4 \cdot 7} = \frac{21}{28}\), \(\frac{2}{7} = \frac{2 \cdot 4}{7 \cdot 4} = \frac{8}{28}\), \(\frac{15}{35} = \frac{15 \div 5}{35 \div 5} = \frac{3}{7} = \frac{3 \cdot 4}{7 \cdot 4} = \frac{12}{28}\), \(\frac{6}{21} = \frac{6 \div 3}{21 \div 3} = \frac{2}{7} = \frac{2 \cdot 4}{7 \cdot 4} = \frac{8}{28}\)