Tính:
1) 1996 . 1037 - 1996 . 37
2) (260 - 13) : 13
3) ( 23 . 35 + 35 . 37 ) : 60
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a) \(\frac{-315}{540}=\frac{-7}{12}\)
b) \(\frac{25.13}{26.35}=\frac{5.1}{2.7}=\frac{5}{14}\)
c) \(\frac{6.9-2.17}{63.3-119}=\frac{2.1-2.17}{7.1-119}=\frac{2.\left(1-17\right)}{7.1-119}=\frac{2.\left(-16\right)}{7-119}=\frac{-32}{-112}=\frac{32}{112}=\frac{2}{7}\)
Làm đến đây là choáng r
Các câu típ theo bn làm nhé
d) 3.13-13.18/15.40-80 = 13.(3-18)/520= 13.(-15)/ 520 = -125/520=-3/8
`[x+35]/1984-[x+30]/1989+[x+19]/2000+[x+23]/[1996=-2`
`<=>[x+35]/1984+1-[x+30]/1989-1+[x+19]/2000+1+[x+23]/1996+1=0`
`<=>[x+2019]/1984-[x+2019]/1989+[x+2019]/2000+[x+2019]/1996=0`
`<=>(x+2019)(1/1984-1/1989+1/2000+1/1996)=0`
`=>x+2019=0`
`<=>x=-2019`
\(\dfrac{x+35}{1984}-\dfrac{x+30}{1989}+\dfrac{x+19}{2000}+\dfrac{x+23}{1996}\text{=}-2\)
\(\Leftrightarrow\dfrac{x+35}{1984}-\dfrac{x+30}{1989}+\dfrac{x+19}{2000}+\dfrac{x+23}{1996}+3-1\text{=}0\)
\(\Leftrightarrow\left(\dfrac{x+35}{1984}+1\right)-\left(\dfrac{x+30}{1989}+1\right)+\left(\dfrac{x+19}{2000}+1\right)+\left(\dfrac{x+23}{1996}+1\right)\text{=}0\)
\(\Leftrightarrow\dfrac{x+2019}{1984}-\dfrac{x+2019}{1989}+\dfrac{x+2019}{2000}+\dfrac{x+2019}{1996}\text{=}0\)
\(\Leftrightarrow\left(x+2019\right)\left(\dfrac{1}{1984}-\dfrac{1}{1989}+\dfrac{1}{2000}+\dfrac{1}{1996}\right)\text{=}0\)
\(\Leftrightarrow\left(x+2019\right)\text{=}0\)
\(\Leftrightarrow x\text{=}-2019\)
a) 4/5 x 3/7 + 4/5 x 4/7
= 4/5 x ( 3/7 + 4/7 )
= 4/5 x 1
= 4/5
câu 1:
\(\frac{2}{3}+\frac{2}{15}+\frac{2}{35}+\frac{2}{63}+\frac{2}{99}\)
\(\hept{\begin{cases}15=3\cdot5\\35=5\cdot7\end{cases}}\\ \hept{\begin{cases}3=3\\63=3^2\cdot7\\99=3^2\cdot11\end{cases}}\)
=>\(\frac{2310}{3465}+\frac{462}{3465}+\frac{198}{3465}+\frac{110}{3465}+\frac{70}{3465}\)
=>\(\frac{2310+462+198+110+70}{3465}\)
=>\(\frac{3150}{3465}\)=\(\frac{10}{11}\)
1 ) 1996.1037 - 1996.37
= 1996.( 1037 - 37 )
= 1996.1000
= 1996000
2 ) ( 260 - 13 ) : 13
= 247 : 13
= 19
3 ) ( 23.35 + 35.37 ) : 60
= 35.( 23 + 37 ) : 60
= 35.60 : 60
= 2100 : 60
= 35
Đáp số : 1 ) 1996000
2 ) 19
3 ) 35