найдите значения выражения (2 1/4 - 1 1/4*(2/7+3 1/7*1/3) ) : 0,7=
Ответы на вопрос
Ответил zhenyaM2002
0
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}](https://tex.z-dn.net/?f=%282++frac%7B1%7D%7B4%7D+-+1+frac%7B1%7D%7B4%7D+%2A+%28+frac%7B2%7D%7B7%7D+%2B3++frac%7B1%7D%7B7%7D+%2A+frac%7B1%7D%7B3%7D+%29%29+%3A0%2C7%3D+%5C++%5C+%0A%3D++%282frac%7B1%7D%7B4%7D+-++frac%7B5%7D%7B4%7D+%2A%28+frac%7B2%2A3%7D%7B7%2A3%7D+%2B++frac%7B22%2A1%7D%7B7%2A3%7D+%29%29+%3A0%2C7%3D+%5C++%5C+%0A%3D%28+2+frac%7B1%7D%7B4%7D+-+frac%7B5%2A28%7D%7B4%2A21%7D+%29%3A0%2C7%3D+%5C++%5C+%0A%3D%28++frac%7B9%7D%7B4%7D+-+frac%7B5%2A1%7D%7B1%2A3%7D+%29+%3A0%2C7%3D+%5C++%5C+%0A%3D+frac%7B9%2A3-+5%2A4%7D%7B4%2A3%7D++%3A+0%2C7%3D+%5C++%5C+%0A%3D+frac%7B7%7D%7B12%7D+%2A+frac%7B10%7D%7B7%7D+%3D+%5C++%5C+%0A%3D+frac%7B1%2A5%7D%7B6%2A1%7D+%3D+frac%7B5%7D%7B6%7D+ "(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}](https://tex.z-dn.net/?f=%282+frac%7B1%7D%7B4%7D+-+1+frac%7B1%7D%7B4%7D+%2A+%28+frac%7B2%7D%7B7%7D+%2B3+frac%7B1%7D%7B7%7D+%2A+frac%7B1%7D%7B3%7D+%29%29+%3A0%2C7%3Dfrac%7B5%7D%7B6%7D%5C++%5C+%0A1%29+3+frac%7B1%7D%7B7%7D+%2A+frac%7B1%7D%7B3%7D%3D++frac%7B22%2A1%7D%7B7%2A3%7D+%3D+1frac%7B1%7D%7B21%7D++%5C++%5C+%0A2%29++frac%7B2%7D%7B7%7D+%2B1+frac%7B1%7D%7B21%7D+%3D+frac%7B6%2B22%7D%7B21%7D+%3D+frac%7B28%7D%7B21%7D+%3D+frac%7B4%7D%7B3%7D+%3D1+frac%7B1%7D%7B3%7D++%5C++%5C+%0A3%29+1++frac%7B1%7D%7B4%7D+%2A1+frac%7B1%7D%7B3%7D+%3D+frac%7B5%2A4%7D%7B4%2A3%7D+%3D+frac%7B5%7D%7B3%7D+%3D+1++frac%7B2%7D%7B3%7D++%5C++%5C+%0A4%29+2++frac%7B1%7D%7B4%7D+-+1++frac%7B2%7D%7B3%7D+%3D+frac%7B27-+20%7D%7B12%7D%3D+frac%7B7%7D%7B12%7D++%5C++%5C+%0A5%29++frac%7B7%7D%7B12%7D+%3A+frac%7B7%7D%7B10%7D+%3D+frac%7B7%2A10%7D%7B12%2A7%7D+%3D+frac%7B5%7D%7B6%7D+ "(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}")
По действиям:
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