(x+1)/2+(x+2)/3+(x+3)/4的简便解法

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(x+1)/2+(x+2)/3+(x+3)/4的简便解法(x+1)/2+(x+2)/3+(x+3)/4的简便解法(x+1)/2+(x+2)/3+(x+3)/4的简便解法=X/2+1/2+X/3+2/3

(x+1)/2+(x+2)/3+(x+3)/4的简便解法
(x+1)/2+(x+2)/3+(x+3)/4的简便解法

(x+1)/2+(x+2)/3+(x+3)/4的简便解法
=X/2+1/2+X/3+2/3+X/4+3/4
=13X+23/12

(x+1)/2+(x+2)/3+(x+3)/4=[(1/2)+(1/3)+(1/4)]x+[(1/2)+(2/3)+(3/4)]=(13/12)x+5/3

方法1：原式＝(6x+6)/12 + (4x+8)/12 + (3x+9)/12
＝(6x+4x+3x +6 +8 +9)/12
＝(13x+23)/12
方法2：原式＝(x+1)/2+(x+2)/3+(x+3)/4
＝(x+1)/2+(x+1+1)/3...

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方法1：原式＝(6x+6)/12 + (4x+8)/12 + (3x+9)/12
＝(6x+4x+3x +6 +8 +9)/12
＝(13x+23)/12
方法2：原式＝(x+1)/2+(x+2)/3+(x+3)/4
＝(x+1)/2+(x+1+1)/3+(x+1+2)/4
＝(x+1)[ 1/2+1/3+1/4] + (1/3+2/4)
＝(x+1)[ 1/2+1/3+1/4] + (1/3+2/4)
＝(x+1)[ 6+4+3]/12 + (4/12+6/12)
＝(x+1)13/12 + 10/12
＝(13x+13+10)/12
＝(13x+23)/12
方法3：原式＝(x+2-1)/2+(x+2)/3+(x+2+1)/4
＝(x+2)[ 1/2+1/3+1/4] + (-1/2+1/4)
＝(x+2)[ 1/2+1/3+1/4] + (-1/4)
＝(x+2)[ 6+4+3]/12 + (-1/4)
＝(x+2)13/12 - 3/12
＝(13x+26-3)/12
＝(13x+23)/12
方法4：原式＝x(1/2+1/3+1/4)+(1/2+2/3+3/4)
＝x13/12 + 23/12
＝(13x+23)/12

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