a) Tinh gia tri bieu thuc:
3/5 : 4/5 + 1/2 x 2/3
b) Tim x:
5/4 nhan x = 3/8 + 1/4
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A) 1000000 - 107492 : 154 x 28 + 1000
= 1000000 - 19544 + 1000
= 981456
B) 8/15 + 4/7 + 14/30 + 12/21 + 5
= 15/7 + 5
= 50/7
C) 9/13 : 6/11 - 5/12 : 6/11
= 9/13 x 11/6 - 5/12 x 11/6
= (9/13 - 5/12) x 11/6
= 43/156 x 11/6
= 473/936
Bài 2
1) X x2 + X x 1/5 = 8/5
X x (2 + 1/5 ) = 8/5
X x 11/5 = 8/5
X = 8/5 x 5/11
X = 8/11
2) X : 3/8 = 4/3 : 3/6
X : 3/8 = 8/3
X = 8/3 x 3/8
X = 1
a) 1 000 000 - 107 492 : 154 x 28 + 1000
= 1 000 000 - 698 x 28 + 1000
= 1 000 000 - 19544 + 1000
= 980 456 + 1000
= 981 456
b) 8/15 + 4/7 + 14/30 + 12/21 + 5
= ( 8/15 + 14/30 ) + ( 4/7 + 12/21 ) + 5
= ( 16/30 + 14/30 ) + ( 12/21 + 12/21 ) + 5
= 30/30 + 24/21 + 5
= 1 + 24/21 + 5
= ( 1 + 5 ) + 24/21
= 6 + 24/21
= 150/21
= 50/7
a)\(9-3x< 0\)
\(9< 3x\)
\(x>3\)
b)\(\left(2x-4\right)\left(x+5\right)< 0\)
\(\Leftrightarrow2x-4>0\Rightarrow2x>4\Rightarrow x>2\)
\(x+5< 0\Rightarrow x< -5\)
\(2< x< -5\)
\(x\in\left\{\varnothing\right\}\)
\(\Leftrightarrow2x-4< 0\Rightarrow2x< 4\Rightarrow x< 2\)
\(x+5>0\Rightarrow x>-5\)
\(-5< x< 2\)
\(x\in\left\{-4;-3;-2;-1;0;1\right\}\)
c)
\(\dfrac{x+4}{x-2}\in Z^-\)
\(\Leftrightarrow x+4< 0\Rightarrow x< -4\)
\(x-2>0\Rightarrow x>2\)
\(2< x< -4\)
\(x\in\left\{\varnothing\right\}\)
\(\Leftrightarrow x+4>0\Rightarrow x>-4\)
\(x-2< 0\Rightarrow x< 2\)
\(-4< x< 2\)
\(x\in\left\{-3;-2;-1;0;1\right\}\)
A
\(\frac{3}{5}\div\frac{4}{5}+\frac{1}{2}\times\frac{2}{3}\)
\(=\frac{3}{4}+\frac{1}{3}\)
\(=\frac{13}{12}\)
B
\(\frac{5}{4}\times x=\frac{3}{8}+\frac{1}{4}\)
\(\frac{5}{4}\times x =\frac{5}{8}\)
\(x=\frac{5}{8}\div\frac{5}{4}\)
\(x=\frac{4}{8}=\frac{1}{2}\)