Tính
a) 3 + 2/5
b) 4 - 5/7
c) 1- ( 2/5+1/3)
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a: =7+5/11-2-3/7-3-5/11
=2-3/7=11/7
b: =-3/5(5/7+3/7+6/7)
=-3/5*2=-6/5
c: =1/3(4/5+6/5)-4/3
=2/3-4/3=-2/3
d: =5/9(7/13+13-3/13)
=5/9*165/13=275/39
\(a,\dfrac{2}{3}-\dfrac{5}{6}+\dfrac{3}{4}\)
\(=(\dfrac{2}{3}+\dfrac{3}{4})-\dfrac{5}{6}\)
\(=\dfrac{7}{12}\)
\(b,\dfrac{6}{7}.\dfrac{8}{13}+\dfrac{6}{13}.\dfrac{9}{7}-\dfrac{-4}{13}.\dfrac{6}{7}\)
\(=\dfrac{6}{7}.(\dfrac{8}{13}-\dfrac{4}{13})+(\dfrac{6}{13}.\dfrac{9}{7})\)
\(=(\dfrac{6}{7}.\dfrac{4}{13})+\dfrac{54}{91}\)
\(=\dfrac{24}{91}+\dfrac{54}{91}\)
\(=\dfrac{78}{91}=\dfrac{6}{7}\)
\(c,19.(-26)\)
\(=-494\)
a) `2/3 - 5/6 +3/4`
`=4/6-5/6+3/4`
`=-1/6+3/4`
`=-4/24+18/24`
`=14/24=7/12`
b) `6/7 .8/13 +6/13 .9/7 -4/13 .6/7`
`=6/7 .(8/13-4/13) + 6/13 .9/7`
`=6/7 . 4/13 + 6/13 . 9/7`
`= 6/13 .4/7 +6/13 .9/7`
`=6/13 . (4/7+9/7)`
`=6/13 . 13/7`
`=6/7`
c) `19.(-26)`
`=(1-20).(20+6)`
`=20+6-400-120`
`=-494`
`a)5/8x+2/5=1/5`
`=>5/8x=1/5-2/5`
`=>5/8x=-1/5`
`=>x=-1/5:5/8=-8/25`
`b)5/7:x+11/7=18/7`
`=>5/7:x=18/7-11/7`
`=>5/7:x=1`
`=>x=5/7`
`c)(-1,2).(-3/24)+(0,4-1 4/15):1 2/3`
`=(-6/5).(-1/8)+(2/5-19/15):5/3`
`=3/20+(-13/15)*3/5`
`=3/20-13/25=-37/100`
a)5/8.x+2/5=1/5
5/8.x=1/5 - 2/5
5/8.x=-1/5
x=(-1/5):5/8
x=(-1/5).8/5
x=-8/25. Vậy x=-8/25
b)5/7:x +11/7=18/7
5/7:x=1
x=5/7:1
x=5/7. Vậy x=5/7
a, \(1+\dfrac{3}{4}=\dfrac{7}{4}\)
b, \(\dfrac{4}{5}-\dfrac{3}{8}=\dfrac{32-15}{40}=\dfrac{17}{40}\)
c, \(1:\dfrac{2}{3}=\dfrac{1.3}{2}=\dfrac{3}{2}\)
d, \(\dfrac{2}{5}.\dfrac{5}{2}=1\)
\(a+\frac{3}{5}=\frac{b-2}{3}=c-\frac{1}{7}\)
\(a+\frac{3}{5}=b-\frac{2}{3},b-\frac{2}{3}=c-\frac{1}{7}\)
\(b=\frac{15r+19}{15}\)
\(c=\frac{35r+26}{35}\)\(;r\in R\)
\(\frac{a+3}{5}=\frac{b-2}{3}=\frac{c-1}{7}\) => 3(a+3)=5(b-2) <=> 3a+9=5b-10 => 3a=5b-19 (1)
và 7(b-2)=3(c-1) <=> 7b-14=3c-3 => \(c=\frac{7b-11}{3}\) (2)
Mà: 3a-5b-7c=86 => Thay (1) và (2) vào ta được:
\(5b-19-5b-7.\frac{7b-11}{3}=86\)=> 7b-11=-(86+19).3/7=-45 => 7b=-34 => b=-34/7
\(c=\frac{7\left(-\frac{34}{7}\right)-11}{3}=-\frac{45}{3}=-15\)
\(a=\frac{5\left(-\frac{34}{7}\right)-19}{3}=-\frac{303}{3}=-101\)
Đáp số: a=-101; b=-34/7; c=-15
a, = 17/5. b, = 23/7. c, = 4/15. **** CHO MÌNH NHA BẠN.