3 целых1/3:1 целую19/21·2 целых3/14

[latex]3 \frac{1}{3} :1 \frac{19}{21} *2 \frac{3}{14}= \frac{10}{3}: \frac{40}{21}* \frac{31}{14}= \frac{10*21*31}{3*40*14}= \frac{31}{8}=3 \frac{7}{8}[/latex]

Выражением: [latex]3 \frac{1}{3} : 1 \frac{19}{21} * 2 \frac{3}{14} = \frac{3*3+1}{3} : \frac{1*21+19}{21} * \frac{2*14+3}{14} = \\ \\ = \frac{10}{3} : \frac{40}{21} * \frac{31}{14} = \frac{10*21*31}{3*40*14} = \frac{1*3*31}{3*4*2} = \frac{1*1*31}{1*4*2} = \\ \\ = \frac{31}{8} = 3 \frac{7}{8} [/latex] По действиям: [latex]3 \frac{1}{3} : 1 \frac{19}{21} * 2 \frac{3}{14} =3 \frac{7}{8} \\ \\ 1) 3 \frac{1}{3} : 1 \frac{19}{21}= \frac{3*3+1}{3} : \frac{1*21+19}{21} = \frac{10}{3} * \frac{21}{40} = \frac{1*7}{1*4} = 1 \frac{3}{4} \\ \\ 2) 1 \frac{3}{4} * 2 \frac{3}{14} = \frac{7}{4} * \frac{31}{14} = \frac{1*31}{4*2} = \frac{31}{8} = 3 \frac{7}{8} [/latex]