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a) x+(-30)-(95-40-30+x)
=x+(-30)-95+40+30-x
=(x-x) +[(-30)-95+40+30]
=-55
b) a+(273-a-120)-(270-120)
=a+273-a-120-150
=(a-a)+(273-120-150)
=3
c)b-(294+130)+(94+130)
=b-424+224
=b-(424-224)
=b-200
![](https://rs.olm.vn/images/avt/0.png?1311)
a)\(\frac{20}{-160}=-\frac{1}{8}\)
b)\(\frac{-24}{-72}=\frac{1}{3}\)
c)\(-\frac{270}{450}=-\frac{3}{5}\)
d)\(\frac{3.7.11}{33.14}=\frac{33.7}{33.14}=\frac{7}{14}=\frac{1}{2}\)
e)\(\frac{49+7.49}{-49}=\frac{49.\left(1+7\right)}{-49}=\frac{49.8}{-49}=-8\)
\(a,\frac{20}{-160}=\frac{-20:20}{160:20}=\frac{-1}{8}\)
\(b,\frac{-24}{-72}=\frac{-24:24}{-72:24}=\frac{-1}{-3}=\frac{1}{3}\)
\(c,\frac{-270}{450}=\frac{-270:90}{450:90}=\frac{-3}{5}\)
\(d,\frac{3.7.11}{33.14}=\frac{3.7.11}{3.11.7.2}=\frac{1}{2}\)
\(e,\frac{49+7.49}{-49}=-\frac{49.\left(7+1\right)}{49}=-8\)
Học tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=\dfrac{1+2+...+9}{11+12+...+19}=\dfrac{\left(9+1\right)\times9:2}{\left(19+11\right)\times9:2}=\dfrac{45}{135}=\dfrac{1}{3}\)
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Rút gọn biểu thức
\(\text{a,x+(-30)-[95+(-40)+(-30)]}\)
\(=x+\left(-30\right)-95+40+30\)
\(=x-95+40=x-55\)
\(\text{a+(273-120)-(270-120)}\)
\(=a+273-120-270+120\)
\(=a+273-270=a+3\)
\(\text{b-(294+130)+(94+130)}\)
\(=b-294-130+94+130\)
\(=b-294+94=b-200\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) x+45-[90+(-20)+5-(-45)]
=x+45-120
=x+-75
b) x+(294+13)+(94-13)
=x+307+81
=x+388
a) x+45-[90+(-20)+5-(-45)]
=x+45-[(90-20)+(5+45)]
=x+45-[70+50]
=x+45-120
=x+(45-120)
=x-75
b) x+(294+13)+(94-13)
=x+307+81
=x+(307+81)
=x+388
![](https://rs.olm.vn/images/avt/0.png?1311)
a) x + (- 30) - [95 + (- 40) + 5 + (- 30)]
= x + (-60) = x - 60
b) a + ( 273 - 120 ) - ( 270 - 120 )
= a + 3
c) b - ( 294 + 130 ) + ( 94 + 130 )
= b - 648
cho tổng S=5+8+11+14+...
a,tìm số hạng thứ 100 của tổng
b,tính tổng 100 số hạng đầu tiên
![](https://rs.olm.vn/images/avt/0.png?1311)
a) x + ( - 30 ) - [ 95 + ( - 40) + 5 + ( - 30) ]
= x - 30 - 95 + 40 - 5 + 30
= x -60
b) a + ( 273 - 120 ) - ( 270 - 120 )
= a + 273 -120 -270 + 120
= a+ 3
c) b - ( 294 + 130 ) + ( 94 + 130 )
= b - 294 -130 +94 +130
= b - 200
Lời giải:
\(P=\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\\ =\frac{2^{19}.3^9+3.5.2^{18}.3^8}{2^9.3^9.2^{10}+2^{20}.3^{10}}\\ =\frac{2^{19}.3^9+2^{18}.3^9.5}{2^{19}.3^9+2^{20}.3^{10}}\\ =\frac{2^{18}.3^9(2+5)}{2^{19}3^9(1+2.3)}\\ =\frac{1}{2}\)