Решите уравнение!
1) 2 1/3 : ( х - 1 1/6 ) = 1 5/9
2) 27: ( 31 3/7 - 2 11/14х) = 1 1/8
3)48: (3 4/5х - 25)= 1 1/2
1) 2 1/3 : ( х - 1 1/6 ) = 1 5/9
2) 27: ( 31 3/7 - 2 11/14х) = 1 1/8
3)48: (3 4/5х - 25)= 1 1/2
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Answers & Comments
7/3=14/9×(x-7/6)
14/9x-49/27=7/3
14/9x=7/3+49/27
14/9x=63/27+49/27
14/9x=112/27
112/27:14/9=112/27×9/14=
112/42=56/21=2 14/21=2 2/3
X=2 2/3
2) 27: ( 31 3/7 - 2 11/14х) = 1 1/8
27=9/8×(220/7-39/14x)
9/8×220/7=9/2×55/7=495/14
9/8×39/14=351/112
495/14-351/112 x=27
-351/112x=27-495/14
-351/112x=378/14-495/14
-351/112x=-117/14
X= 117/14:351/112
X=117/14×112/351=56/21=
2 14/21=2 2/3
3)48: (3 4/5х - 25)= 1 1/2
48=3/2(19/5x-25)
3/2×19/5x=57/10x
3/2×(-25)=-75/2= -37 1/2
57/10x-37 1/2=48
57/10x=48+37 1/2
57/10x=85 1/2
X= 171/2:57/10
X=171/2×10/57
X=15