РЕШЕНЫ ВСЕ ЗАДАЧИ
Вычислите
а) 0,48 + 1/3 =
=48/100+1/3=12/25+1/3=36/75+25/75=61/75
б) 6/7 - 0,6=
=6/7-6/10=6/7-3/5=30/35-21/35=9/35
в) 2-1 7/10=
=1-7/10=10/10-7/10=3/10
г) 12 5/12 + 4 1/8 - 4 2/3
12 5/12+4 1/8=16 +( 5/12+1/8)=16+ (10/24+3/24)=16 13/24
16 13/24-4 2/3=12 + (13/24-2/3)= 12+(13/24-16/24)=12-3/24=12-1/8=11 7/8
Решите уравнение
(1 3/7 х + 5/8) * 12=81/2
1 3/7x*12+5/8×12=81/2
1 3/7= (3+1·7)/7=10/7
10/7×12=120/7=
5/8×12=60/8=15/2
120/7x=81/2-15/2
120/7x=66/2
120/7x=33
x=33:120/7
33:120/7=33·7/120=231/120=37/40=1,925
x=37/40=1,925
Вычислите
а) 1 7/11 * 2 1/16 * 1 7/9
1 7/11 · 2 1/16=
(1 7/11=(7+1×11)/11=18/11
2 1/16=(1+2×16)/16=33/16
1 7/9=(7+1×9)/9=16/9)
18/11×33/16=594/176=27/8
27/8×16/9=432/72=6
Ответ: 6
б) 4 4/5 : 4/17 : 3 2/5
4 4/5= (4+4×5)/5=24/5
3 2/5=(2+3×5)/5=17/5
24/5:4/17=24/5×17/4=408/20=102/5
102/5:17/5=102/5×5/17=102/17=6
Ответ: 6
Выполнить
40 - (9 1/4 - 8 2/3) * 1 5/7 + (4 2/9 - 2 5/6) :1 1/9=
9 1/4=(1+9×4)/4=37/4
8 2/3=(2+8×3)/3=26/3
1 5/7=(5+1×7)/7=12/7
4 2/9=(2+4×9)/9=38/9
2 5/6=(5+2×6)/6=17/6
1 1/9=(1+1×9)/9=10/9
37/4-26/3=111/12-104/12=7/12
7/12×12/7=1
40-1=39
38/9-17/6=76/18-51/18=25/18
25/18:10/9=25/18×9/10=25/2×1/10=25/20=5/4=1 1/4
39+1 1/4=40 1/4=40,25