Question

найдите значения выражения (2 1/4 - 1 1/4*(2/7+3 1/7*1/3) ) : 0,7=

Answer 1

Выражением:
$(2 frac{1}{4} - 1 frac{1}{4} * ( frac{2}{7} +3 frac{1}{7} * frac{1}{3} )) :0,7= \ \ = (2frac{1}{4} - frac{5}{4} *( frac{2*3}{7*3} + frac{22*1}{7*3} )) :0,7= \ \ =( 2 frac{1}{4} - frac{5*28}{4*21} ):0,7= \ \ =( frac{9}{4} - frac{5*1}{1*3} ) :0,7= \ \ = frac{9*3- 5*4}{4*3} : 0,7= \ \ = frac{7}{12} * frac{10}{7} = \ \ = frac{1*5}{6*1} = frac{5}{6}$
По действиям:
$(2 frac{1}{4} - 1 frac{1}{4} * ( frac{2}{7} +3 frac{1}{7} * frac{1}{3} )) :0,7=frac{5}{6}\ \ 1) 3 frac{1}{7} * frac{1}{3}= frac{22*1}{7*3} = 1frac{1}{21} \ \ 2) frac{2}{7} +1 frac{1}{21} = frac{6+22}{21} = frac{28}{21} = frac{4}{3} =1 frac{1}{3} \ \ 3) 1 frac{1}{4} *1 frac{1}{3} = frac{5*4}{4*3} = frac{5}{3} = 1 frac{2}{3} \ \ 4) 2 frac{1}{4} - 1 frac{2}{3} = frac{27- 20}{12}= frac{7}{12} \ \ 5) frac{7}{12} : frac{7}{10} = frac{7*10}{12*7} = frac{5}{6}$