Найдите значение выражения 1)8 1/3*9-2 2/3*3 1/4-4 4/7*3 5/24 2)1 1/48*2 2/5-(9 1/6*4/15+2 5/9)*1/4 3)9 1/4*8-1 2/3*5 1/
Найдите значение выражения
1)8 1/3*9-2 2/3*3 1/4-4 4/7*3 5/24
2)1 1/48*2 2/5-(9 1/6*4/15+2 5/9)*1/4
3)9 1/4*8-1 2/3*5 1/2-2 4/5*2 11/12
4)1 1/22*3 2/3-(2 5/6+3 5/6*7/23)*3/5
Пожалуйста помогите решить.24б
Ответ(ы) на вопрос:
Гость
1)
8 1/3 * 9 - 2 2/3 * 3 1/4 - 4 4/7 * 3 5/24= 51 2/3
выражением:
= 25/3 * 9/1 - 8/3 * 13/4 - 32/7 * 77/24=
= (25*3)/(1*1) - (2*13)/(3*1) - (4*11)/(1*3) =
= 75 - 26/3 - 44/3 = 75 - 70/3 = 75 - 23 1/3 =
= 51 2/3
по действиям:
1) 8 1/3 * 9 = 25/3 * 9/1 = (25*3)/(1*1)= 75
2) 2 2/3 * 3 1/4 = 8/3 * 13/4 = (2*13)/(3*1) = 26/3 = 8 2/3
3)4 4/7 * 3 5/24 = 32/7 * 77/24 = (4*11)/(1*3) =44/3= 14 2/3
4)75 - 8 2/3 = 66 1/3
5) 66 1/3 - 14 2/3 = 51 2/3
2)
1 1/48 * 2 2/5 - (9 1/6 *4/15 + 2 5/9)*1/4 = 1 1/5
выражением:
= 49/48 * 12/5 - ( 55/6 * 4/15 + 2 5/9) * 1/4=
= (49*1)/(4*5) - ( (11*2)/(3*3) + 2 5/9 ) * 1/4 =
= 49/20 - ( 2 4/9 + 2 5/9) * 1/4 =
= 49/20 - 5/4 = 49/20 - 25/20 = 24/20 =
= 6/5 = 1 1/5
по действиям:
1) 9 1/6 * 4/15 = 55/6 * 4/15= ( 55*4)/(6*15) = (11*2)/(3*3)=22/9= 2 4/9
2)2 4/9 + 2 5/9 = 5
3) 1 1/48 * 2 2/5 = 49/48 * 12/5 = (49*1)/(4*5) = 49/20 = 2 9/20
4) 5 * 1/4 = 5/1 * 1/4 = 5/4 = 1 1/4
5) 2 9/20 - 1 1/4 = 2 9/20 - 1 5/20 = 1 4/20 = 1 1/5
3)
9 1/4 *8 - 1 2/3 * 5 1/2 - 2 4/5 * 2 11/12 = 56 2/3
выражением:
= 37/4 * 8/1 - 5/3 * 11/2 - 14/5 * 35/12 =
= 37*2 - 55/6 - 49/6 = 74 - 104/6 =
= 74 - 52/3 = 74- 17 1/3 = 56 2/3
по действиям:
1) 9 1/4 * 8 = 37/4 * 8/1 = ( 37 * 2)/(1*1)= 74
2) 1 2/3 * 5 1/2 = 5/3 * 11/2 = 55/6 = 9 1/6
3) 2 4/5 * 2 11/12 = 14/5 * 35/12 = (7*7) / (1*6) = 49/6 = 8 1/6
4) 74 - 9 1/6 = 64 5/6
5) 64 5/6 - 8 1/6 = 56 4/6 = 56 2/3
4)
1 1/22 * 3 2/3 - (2 5/6 + 3 5/6 * 7/23) *3/5 = 1 13/30
выражением:
= 23/22 * 11/3 - ( 2 5/6 + 23/6 * 7/23 ) * 3/5 =
= 23/6 - ( 2 5/6 + 7/6 ) * 3/5 =
= 3 5/6 - ( 2 5/6 + 1 1/6 ) * 3/5 =
= 3 5/6 - 4 * 3/5 = 3 5/6 - 2 2/5 =
= 3 25/30 - 2 12/30 = 1 13/30
по действиям:
1) 3 5/6 * 7/23 = 23/6 * 7/23 = 7/6 = 1 1/6
2) 2 5/6 + 1 1/6 = 4
3) 1 1/22 * 3 2/3 = 23/22 * 11/3 = (23*1)/(2*3) = 3 5/6
4) 4 * 3/5 = 12/5 = 2 2/5
5) 3 5/6 - 2 2/5 = 3 25/30 - 2 12/30 = 1 13/30
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