tính giá trị của bểu thức : 4/3 -2/5 : 8/15 =
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
\(\frac{x}{3}=\frac{y}{4}=\frac{z}{5}=\frac{x+y+z}{3+4+5}=\frac{x+y+z}{x+2y-z}.\left(\text{dãy tỉ số bằng nhau}\right)\)
\(\Rightarrow3+4+5=12=x+2y-z\)
\(\frac{x}{3}=\frac{y}{4}=\frac{z}{5}=\frac{x+2y-z}{3+8-5}=\frac{12}{6}=2\)
=> x/3 =2 =>x=6
=> x/4=2 => x=8
=> x/5 =2 => x=10
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(\left|15-x\right|\ge0\forall x\)
\(\Rightarrow A\ge5+0=5\)
Dấu "=" xảy ra khi và chỉ khi \(\left| 15-x\right|=0\) hay \(x=15\)
Vậy GTNN của A là 5 khi x=15
![](https://rs.olm.vn/images/avt/0.png?1311)
a=113/13-(24/7+53/13)=113/13-24/7-53/13=60/13-24/7=396/16
b=(64/9+37/11)-44/9=64/9+37/11-44/9=20/9+37/11=181/33
c=-5/7(2/11+9/11)+15/7=-5/7+15/7=10/7
d=0.7.22/3.20.0.375.5/28=0
e=(6,17+35/9-236/97)(1/3-0.25-1/12)=A.(1/3-1/4-1/12)=A.(1/12-1/12)=A.0=0
e=(6,17 + 3 5/9 - 2 36/97 ) . ( 1/3 - 0,25 - 1/12)=(6,17 + 3 5/9 - 2 36/97 ) .(1/3-1/12-0,25)
=(6,17 + 3 5/9 - 2 36/97 ) .(4/12-1/12-0,25)=(6,17 + 3 5/9 - 2 36/97 ) .(3/12-0,25)
=(6,17 + 3 5/9 - 2 36/97 ) .(1/4-0.25)=(6,17 + 3 5/9 - 2 36/97 ) .(0.25-0.25)
=(6,17 + 3 5/9 - 2 36/97 ) .0=0
Vậy E=0
![](https://rs.olm.vn/images/avt/0.png?1311)
Q=(x6+x5)+(x5+x4)+(x4+x3)+(x3+x2)+(x2+x)+(x+1)
=x4(x2+x)+x3(x2+x)+x2(x2+x)+x(x2+x)+(x2+x)+x+(x2+x)
=x4+x3+x2+x+2+x
=x2(x2+1)+(x2+x)+2+x
=x2+x+2+1
=(x2+1)+3
=4
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(\frac{9}{10}+\frac{1}{10}\div\frac{4}{5}\right)\times\left(\frac{3}{15}-\frac{2}{15}\times\frac{4}{3}\times\frac{9}{8}\right)\)
\(=\left(1\div\frac{4}{5}\right)\times\left(\frac{3}{15}-\frac{1}{5}\right)\)
\(=\frac{5}{4}\times0\)
\(=0\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Lời giải:
a.
$\frac{5}{15}-\frac{1}{6}\times \frac{2}{5}=\frac{5}{15}-\frac{1}{15}=\frac{4}{15}$
b.
$\frac{8}{24}+\frac{3}{4}:\frac{1}{8}=\frac{1}{3}+6=\frac{19}{3}$
c.
$\frac{1}{7}: \frac{2}{8}-\frac{1}{7}=\frac{1}{7}\times 4-\frac{1}{7}$
$=\frac{1}{7}\times (4-1)=\frac{1}{7}\times 3=\frac{3}{7}$
![](https://rs.olm.vn/images/avt/0.png?1311)
10.213
11. 2 giờ 55 phút
12. 4 ngày 21 giờ
13.
a: 6,008
b: 4500
c: 5,628
d: 4,009
14.
a,8579 cm2
b,32,04 m2
c,187200m2
d,5,017 tấn
![](https://rs.olm.vn/images/avt/0.png?1311)
14:
a: \(85.79km^2=857900000000cm^2\)
b: \(32m^24dm^2=32.04m^2\)
c: \(1872dm^2=18.72m^2\)
d: 5 tấn 17kg=5,017 tấn
13:
a: \(6dm^38cm^3=6.008dm^3\)
b: \(4.5m^3=4500dm^3\)
c: \(5628dm^3=5.628m^3\)
d: \(4m^39dm^3=4.009m^3\)
12: =108h:3+80h
=36h+80h=116h
10:
3h18p+7h21p:3
=198p:441p:3
=198p+147p=345p
4/3 - 2/5 : 8/15
= 4/3 - 3/4
= 16/12 - 9/12
= 7/12
\(\frac{4}{3}-\frac{2}{5}:\frac{8}{15}\)
\(\Rightarrow\frac{4}{3}-\frac{2}{5}x\frac{15}{8}\)
\(=\frac{4}{3}-\frac{3}{4}\)
\(=\frac{16}{12}-\frac{9}{12}\)
\(=\frac{7}{12}\)