a) \(\dfrac{2}{5}\cdot\dfrac{1}{7}+\dfrac{2}{5}\cdot\dfrac{5}{7}+\dfrac{2}{5}\)

\(=\dfrac{2}{5}\left(\dfrac{1}{7}+\dfrac{5}{7}+1\right)\)

\(=\dfrac{2}{5}\cdot\dfrac{13}{7}=\dfrac{26}{35}\)

b) \(\dfrac{1}{5}+\dfrac{2}{8}+\dfrac{4}{5}+\dfrac{7}{8}-\dfrac{1}{8}\)

\(=\left(\dfrac{1}{5}+\dfrac{4}{5}\right)+\left(\dfrac{2}{8}+\dfrac{7}{8}-\dfrac{1}{8}\right)\)

\(=1+1=2\)

c)\(\dfrac{24}{36}\cdot\dfrac{10}{12}\cdot36\)

\(=\dfrac{24\cdot10\cdot36}{36\cdot12}=\dfrac{12\cdot2\cdot10\cdot36}{12\cdot36}\)

\(=2\cdot10=20\)

\(\left(\dfrac{1}{5}\right)^5\cdot5^5+\dfrac{8^{13}}{4^{18}}\)

\(=1+\dfrac{2^{39}}{2^{36}}\)

=9

máy tính hoặc não

a: =9/11(7/4+5/4)=9/11x3=27/11

b: \(=\dfrac{28}{5}\cdot\dfrac{5}{8}\cdot\dfrac{5}{4}=\dfrac{28}{8}\cdot\dfrac{5}{4}=\dfrac{140}{32}=\dfrac{35}{8}\)

c: \(=\dfrac{2}{6}+\dfrac{4}{5}\cdot\dfrac{6}{5}-\dfrac{2}{5}=\dfrac{67}{75}\)

a,=(7/4+5/4):11/9

=3:11/9

=27/11

b,=28/5.5/4.5/8

=7.5/8

=35/8

c,=1/3+24/25-2/5

=97/75-2/5

=67/75

`14/9:8/3=14/9xx3/8=[2xx7xx3]/[3xx3xx4xx2]=7/12`

`5/4+9/5xx5/4=5/4+9/4=14/4=7/2`

14/9:8/3=7/12
5/4+9/5x5/4=5/4+9/4=14/4=7/2

x=4

=>x+1=5

A=(x+1)x^5 -(x+1)x^4+(x+1)x^3-(x+1)x^2+(x+1)x-1

  =x^6+x^5-x^5-x^4+x^4+x^3-x^3-x^2+x^2-x+1

  =x^6-x-1

  =4^6-4-1

  =4091

\(a,A=5\cdot4^5-5\cdot4^4+5\cdot4^3-5\cdot4^2+5\cdot4+1\\ A=4^4\left(20-5\right)+4^2\left(20-5\right)+\left(20-5\right)\\ A=15\left(4^4+4^2+1\right)=15\cdot273=4095\)

\(b,x=7\Leftrightarrow x+1=8\\ \Leftrightarrow B=x^{2006}-\left(x+1\right)x^{2005}+\left(x+1\right)x^{2004}-...+\left(x+1\right)x^2-\left(x+1\right)x-5\\ B=x^{2006}-x^{2006}-x^{2005}+x^{2005}+x^{2004}-...+x^3+x^2-x^2-x-5\\ B=-x-5=-12\)

a) 197148:84=2347

101598:287=354

b)9/20-8/5x5/12= -13/60

2/3:4/5:7/12=10/7

4/9+11/8-5/6=71/72

tính :

a) 197148:84=2347

101598:287=354

b)9/20-8/5x5/12= -13/60

2/3:4/5:7/12=10/7

=4/9+11/8-5/6=71/72

B = \(\dfrac{2}{35}\) + \(\dfrac{4}{77}\) + \(\dfrac{2}{143}\) + \(\dfrac{4}{221}\) + \(\dfrac{2}{323}\) + \(\dfrac{4}{437}\) + \(\dfrac{2}{575}\) (như này mới đúng em ơi)

C = 8 : \(\dfrac{4}{5}\) - 7\(\dfrac{1}{5}\) x \(\dfrac{5}{4}\)

C = 8 x \(\dfrac{5}{4}\) - \(\dfrac{36}{5}\) x \(\dfrac{5}{4}\)

C = \(\dfrac{5}{4}\) x (8 - \(\dfrac{36}{5}\))

C = \(\dfrac{5}{4}\) x (\(\dfrac{40}{5}\) - \(\dfrac{36}{5}\))

C = \(\dfrac{5}{4}\) x \(\dfrac{4}{5}\)

C = 1 

Câu 3: 
Chiều rộng là 90x3/5=54(m)

Chu vi là (90+54)x2=288(m)

Câu 4:

Chiều rộng là 60x3/5=36(m)

Chu vi là (60+36)x2=192(m)
Diện tích là 60x36=2160(m²)