a) 5 : 3/4 - 4 4/5 : 3/4

= 5 . 4/3 - 24/5 . 4/3

= (5 - 24/5) . 4/3

= 1/5 × 4/3

= 4/15

b) -3/5 . 2/7 + (-3/7) . 3/5 + (-3/7)

= (-3/7) . (2/5 + 3/5 + 1)

= (-3/7) . 2

= -6/7

c) [(-4 2/7) . 7/11 + 7/11 . (5 1/3)] . 5 - 5 2/3

= (-30/7 . 7/11 + 7/11 . 16/3) . 5 - 17/3

= (-30/11 + 112/33) . 5 - 17/3

= 2/3 . 5 - 17/3

= 10/3 - 17/3

= -7/3

d) 5/39 . [(7 4/5) . (1 2/3) + (8 1/3) . (7 4/5)]

= 5/39 . (39/5 . 5/3 + 25/3 . 39/5)

= 5/39 . 39/5 . (5/3 + 25/3)

= 1 . 10

= 10

= 

ai nhNH MK K

\(\frac{10}{3}.x+\frac{67}{4}=\frac{53}{4}\)

\(\frac{10}{3}.x=\frac{53}{4}-\frac{67}{4}\)

\(\frac{10}{3}.x=-\frac{7}{2}\)

\(x=-\frac{7}{2}:\frac{10}{3}\)

\(x=-\frac{21}{20}\)

a)2/5  + 3/4 = 8/20 + 15/20 = 23/20                           

e) 1/4+2 = 1/4 + 2/1 = 1/4 + 8/4 = 9/4                        

b)2/3 - 3/8= 16/24- 9/24= 7/24                                   

g)2/5 nhân 3 = 6/5                              

c)3/7 nhân 4/5 = 12/35                       

 f)2/5:4= 2/5 x 1/4 = 1/10

d)2/5:2/3 = 2/5 x 3/2 = 6/10=  3/5                                     

5-2/3= 5/1- 2/3 = 13/3

23/20

7/24

12/35

1/15

9/4

6/5

1/10

13/3

23/20 

9/4 

7/24 

6/5 

12/35 

1/10 

13/3

cả hai phép = 0

ghi ra

(45-5x9)x1x2x3x4x5x6x7 

= 0         x1x2x3x4x5x6x7

=0

(1+2+3+4+5+6+7+8+9+10)x(72-8x8-8)

=(1+2+3+4+5+6+7+8+9+10)x0

= 0

#Ninh Nguyễn

8/12 + 9/12 = 17/12

12/15 - 5/15 = 7/15

4 x 8/3 = 32/3

1/8 x 3 = 3/8

5 x 2 = 10

2/5 x 1/4 = 2/20 = 1/10

\(\dfrac{2}{3}+\dfrac{3}{4}=\dfrac{8}{12}+\dfrac{9}{12}=\dfrac{17}{12};\dfrac{4}{5}-\dfrac{1}{3}=\dfrac{12}{15}-\dfrac{5}{15}=\dfrac{7}{15}\\ 4\times\dfrac{8}{3}=\dfrac{32}{3};\dfrac{1}{8}\times3=\dfrac{3}{8}\\ 5:\dfrac{1}{2}=5\times\dfrac{2}{1}=10;\dfrac{2}{5}:4=\dfrac{2}{5}\times\dfrac{1}{4}=\dfrac{2}{20}=\dfrac{1}{10}\)

1/

\(B=\frac{\left(3-1\right)\left(3+1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)-3^{16}}{4}\)

\(=\frac{\left(3^2-1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)-3^{16}}{4}\)

\(=\frac{\left(3^4-1\right)\left(3^4+1\right)\left(3^8+1\right)-3^{16}}{4}\)

\(=\frac{\left(3^8-1\right)\left(3^8+1\right)-3^{16}}{4}\)

\(=\frac{3^{16}-1-3^{16}}{4}=\frac{-1}{4}\)

2/

a, (x-5)²-(x+3)²=1

<=>(x-5+x+3)(x-5-x-3)=1

<=>-16.(x-1)=1

<=>x-1=-1/16

<=>x=15/16

b, (2x-1)²-(2x-3)²=4

<=>(2x-1+2x-3)(2x-1-2x+3)=4

<=>-8(x-1)=4

<=>x-1=-1/2

<=>x=1/2