1. TÍNH 

`5/7 xx 4 : 5/9 = 5/7 xx 4 xx 9/5 = 20/7 xx 9/5 = 36/7`

`4/9 : 2 xx 5/7 = 4/9 xx 1/2 xx 5/7 = 2/9 xx 10/63 `

`8 xx 2/3 : 1/2= 8xx 2/3 xx 2/1 = 8 xx 2/3 xx 2 = 16/3 xx 2=32/3`

1) 1/3 x 1/2 x 3/7 = 3/42 = 1/14

2) 5/4 x 1/3 +1/7 = 5/12 + 1/7 = 35/84 + 12/84 = 47/84

3) 8 x ( 8/9 - 2/3 ) = 8 x 2/9 = 16/9

4) 5/6 x 48/20 x 1/2 = 240/240 = 1

5) ( 2/5 + 3/4 ) + 8 = 23/20 + 8 = 23//20 + 160/20 = 183/20

6) 10 x ( 1/2 - 1/5 ) = 10 x 3/10 = 10/1 x 3/10 = 30/10 = 3

Bài 1:

a) 19/27+9/7+6/27+5/7+2/7

= (19/27+6/27) + (9/7+5/7+2/7)

=1 + 16/7

=23/7

b) 2/7 + 27/48 + 7/16 +45/63

= (2/7 + 45/63) + (27/48 +7/16)

= (2/7 + 5/7) + ( 9/16 + 7/16)

= 1 + 1

=2

c) Tính bằng cách bình thường

Bài 2:

6/11 + x = 1

           x = 1-6/11

           x = 5/11

Bài làm

a) \(\frac{19}{27}+\frac{9}{7}+\frac{6}{27}+\frac{5}{7}+\frac{2}{7}\)

\(=\frac{27}{27}+\frac{16}{7}\)

\(=1+\frac{16}{7}\)

\(=\frac{7}{7}+\frac{16}{7}\)

\(=\frac{23}{7}\)

b) \(\frac{2}{7}+\frac{27}{48}+\frac{7}{16}+\frac{45}{63}\)

\(=\left(\frac{18}{63}+\frac{45}{63}\right)+\left(\frac{27}{48}+\frac{21}{48}\right)\)

\(=\frac{63}{63}+\frac{48}{48}\)

\(=1+1\)

\(=2\)

c) \(\frac{17}{23}+\left(\frac{4}{7}-\frac{6}{13}\right)\)

\(=\frac{17}{23}+\left(\frac{52}{91}-\frac{42}{91}\right)\)

\(=\frac{17}{23}+\frac{10}{91}\)

\(=\frac{1547}{2093}+\frac{230}{2093}\)

\(=\frac{1770}{2093}\)

Bài 2

\(\frac{6}{11}+x=1\)

\(x=1-\frac{6}{11}\)

\(x=\frac{11}{11}-\frac{6}{11}=\frac{5}{11}\)

Vậy \(x=\frac{5}{11}\)

\(a.\left(\dfrac{2}{5}.\dfrac{5}{2}\right).\dfrac{10}{21}=1.\dfrac{10}{21}=\dfrac{10}{21}\)

\(\dfrac{1}{2}.4+\dfrac{3}{4}.4=2+3=5\)

a tính bằng cách là

( 2/5 x 5/2 ) x 10/21 

= 1 x 10/21 

10/21

b tính bằng cách là

1/2 + ( 3/4 x 4)

=1/2 x 12/4 rút gọn là 1/2 x 3

= 3/2

BÀI 1                                                                                        

\(\frac{7}{12}-\frac{1}{12}\times\frac{4}{3}\times\frac{27}{16}\)                                    

\(=\frac{7}{12}-\frac{1}{12}\times6\)

\(=\frac{7}{12}-\frac{6}{12}\)

\(=\frac{1}{12}\)

BÀI 2

b)\(\frac{13}{x}:\frac{7}{6}=\frac{13}{14}\)

\(\frac{13}{x}=\frac{13}{14}\times\frac{7}{6}\)

\(\frac{13}{x}=\frac{13}{12}\)

\(\Rightarrow x=12\)

a) 

(1/3-1/5)x1/4 = 1/3x1/4-1/5x1/4=1/12-1/20=1/30

(1/3-1/5)x1/4 = 2/15x1/4=1/30

b)

2/5 x 3/7 + 2/5 x 4/7= 6/35 + 8/35 = 14/35 = 2/5

2/5 x 3/7 + 2/5 x 4/7= (3/7+4/7) x 2/5 = 1 x 2/5 = 2/5

a: C1: (1/3-1/5)*1/4

=2/15*1/4=2/60=1/30

C2: (1/3-1/5)*1/4

=1/3*1/4-1/5*1/4

=1/12-1/20=1/30

b: C1: 2/5*3/7+2/5*4/7

=6/35+8/35=14/35=2/5

C2: 2/5*3/7+2/5*4/7

=2/5(3/7+4/7)

=2/5*1=2/5

a: =>a/b+2/25=1

=>a/b=23/24

b: =>a/b-5/6=1

=>a/b=11/6

a, \(\dfrac{a}{b}+\dfrac{2}{25}=1\Leftrightarrow\dfrac{a}{b}=1-\dfrac{2}{25}=\dfrac{23}{25}\)

b, \(\dfrac{a}{b}-\dfrac{5}{6}=1\Leftrightarrow\dfrac{a}{b}=1+\dfrac{5}{6}=\dfrac{11}{6}\)