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a - 420 : ( x : 39 ) = 105
⇒ x : 39 = 420 : 105
⇒ x : 39 = 4
⇒ x = 4 * 39
⇒ x = 156
a) -420 :(x:39)=105
x:39=-420 : 105
x : 39=\(\dfrac{-14}{5}\)
x=\(\dfrac{-546}{5}\)
200 - 18 : ( 372 : 3 : X -1 ) -28 = 166
suy ra 18 : ( 372 : 3 : X - 1 ) - 28 = 200 -166 = 34
Suy ra 18 : ( 372 : 3 : X -1 ) = 34 + 28 = 62
Suy ra 372 : 3 : X -1 = 18 : 62
Suy ra 124 : x -1 = 9/31
Suy ra 124 : x = 9/31 +1 =40/31
Suy ra X = 124 : 40/31
Suy ra X = 961/10 = 96,1
200 - 18 : ( 372 : 3 : X - 1 ) - 28 = 166
200 - 18 : ( 372 : 3 : X - 1 ) = 166 + 28
200 - 18 : ( 372 : 3 : X - 1 ) = 194
200 - 18 : ( 124 . X - 1 ) = 194
18 : ( 124 . X - 1 ) = 200 - 194
18 : ( 124 . X - 1 ) = 6
124 . X - 1 = 18 : 6
124 . X - 1 = 3
124 . X = 3 + 1
124 . X = 4
X = 4 : 124
X = 1/31.
200-18:(372:3:x-1)-28=166
200-18:(372:3:x-1)=166+28
200-18:(372:3:x-1)=194
18:(372:3:x-1)=200-194
18:(372:3:x-1)=6
372:3:x-1=18:6
372:3:x-1=3
124:x-1=3
124:x=3+1
124:x=4
x=124:4
x=31
420 : (\(x\) : 39) = 105
\(x\) : 39 = 420 : 105
\(x\) : 39 = 4
\(x\) = 4 x 39
\(x\) = 156
\(420:\left(x:39\right)=105\)
\(x:39=420:105\)
\(x:39=4\)
\(x=39\times4\)
\(x=156\)
a) 49 x ( X – 21 ) = 441 e) X : (12 + 13) = 7
X – 21 = 441:49 X : 25 = 7
X – 21 = 9 X = 7 x 25
X = 21 + 9 X = 175
X = 30
b) 53 x 31 x X = 4929 g) 429 : ( X + 31) = 11
31 x X = 4929 : 53 X + 31 = 429 : 11
31 x X = 93 X + 31 = 39
X = 93 : 31 ’ X = 39 – 31
X = 3 X = 8
c) 61 x (126 : X ) = 1281 h) 1 615 : (X x 19) = 17
126 : X = 1281 : 61 X x 19 = 1 615 : 17
126 : X = 21 X x 19 = 95
X = 126 : 21 X = 95 : 19
X = 6 X = 5
d) 79 x ( X : 23 ) = 316 i) 420 : ( X : 39 ) = 105
X : 23 = 316 : 79 X : 39 = 420 : 105
X : 23 = 4 X : 39 = 4
X = 4 x 23 X = 4 x 39
X = 92 X = 156
Tìm x :
x + 1/3 = 4/5
x = 4/5 - 1/3
x = 12/15 - 5/15
x = 7/15
x - 1/2 = 2/7
x = 2/7 + 1/2
x = 4/14 + 7/14
x = 11/14
4/7 × x = 1/3
x = 1/3 : 4/7
x = 1/3 × 7/4
x = 7/12
x : 2/5 = 2/9
x = 2/9 × 2/5
x = 4/45
20 × 7 : ( 5 × x - 3 × 5 ) = 4
140 : 5 × ( x - 3 ) = 4
5 × ( x - 3 ) = 140 : 4
5 × ( x - 3 ) = 35
x - 3 = 35 : 5
x - 3 = 7
x = 7 + 3
x = 10
x - 270 = 420 : 105
x - 270 = 4
x = 4 + 270
x = 274
x - 140 : 35 = 270
x - 4 = 270
x = 270 + 4
x = 274
x + 1/3 = 4/5
x = 4/5 - 1/3
x = 7/15
x - 1/2 = 2/7
x = 2/7 + 1/2
x = 11/14
4/7 * x = 1/3
x = 1/3 : 4/7
x = 7/12
x : 2/5 = 2/9
x = 2/9 * 2/5
x 4 / 45
20 * 7 : ( 5*x - 3 * 5) =4
= 140 :(5*x -3 *5) =4
5*x- 3*5 = 140 : 4
5*x - 3 * 5 = 35
5* x = 35 + 3 * 5
5 * x = 50
x = 50 : 5
x = 10
x - 270 = 402 : 105
x - 270 = 4
x = 270 + 4
x = 274
x- 140 : 35 = 270
x - 4 = 270
x = 270 + 4
x = 274
a)
160 : (4 × 8) = 160 : 32 = 5
160 : 4 : 8 = 40 : 8 = 5
Vậy 160 : (4 × 8) = 160 : 4 : 8.
96 : (3 × 8) = 96 : 24 = 4
96 : 3 : 8 = 32 : 8 = 4
Vậy 96 : (3 × 8) = 96 : 3 : 8.
105 : (5 × 7) = 105 : 35 = 3
105 : 5 : 7 = 21 : 7 = 3
Vậy 105 : (5 × 7) = 105 : 5 : 7.
Nhận xét: a : (b × c) = a : b : c
b)
270 : (9 × 6) = 270 : 9 : 6 = 30 : 6 = 5
420 : (7 × 3) = 420 : 7 : 3 = 60 : 3 = 20
144 : (2 × 8) = 144 : 2 : 8 = 72 : 8 = 9
420:(x:39)=105
x:39=420:105
x:39=4
x = 39x4
x =156