Toán Lớp 6: 4/9.13/3-4/3.40/9
1/2x+3/2.(x-1)=1/3
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Toán Lớp 6: 4/9.13/3-4/3.40/9
1/2x+3/2.(x-1)=1/3
Comments ( 2 )
4/9 . 13/3 – 4/3 . 40/9
= 52/27 – 160/27
= frac{-108}{27}
—————
1/2x + 3/2 . (x – 1) = 1/3
=> frac{4x – 3}{2} = 1/3
=> (4x – 3) . 3 = 2
=> frac{(4x – 3)3}{3} = 2/3
=> 4x – 3 = 3
=> 4x = 6
=> x = 6/4
Giải đáp:
Lời giải và giải thích chi tiết:
$\frac{4}{9}.$ $\frac{13}{3}-$ $\frac{4}{3}.$ $\frac{40}{9}$
$=\frac{4. 13}{9. 3}-$ $\frac{4. 40}{3.9}$
$=\frac{(4.13)-(4.40)}{9.3}$
$=\frac{4(13-40)}{27}$
$=\frac{4.(-27)}{27}$
$=-4^{}$
$\frac{1}{2}x$ $+\frac{3}{2}.(x-1)=$ $\frac{1}{3}$
⇒ $\frac{x}{2}$$+\frac{3(x-1)}{2}$ $=\frac{1}{3}$
⇒ $\frac{x+3x-3}{2}$ $=\frac{1}{3}$
⇒ $2.\frac{4x-3}{2}=$ $2.\frac{1}{3}$
⇒ $4x-3=$ $\frac{2}{3}$
⇒ $4x-3+3=$ $\frac{2}{3}+3$
⇒ $4x=$ $\frac{11}{3}$
⇒ $\frac{4x}{4}=$ $\frac{11}{3}:{4}$
⇒ $x=$ $\frac{11}{3}:4$
⇒ $x^{}=$ $\frac{11}{12}$