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Mình sẽ trả lời từng câu một nhé:

x-6 1/2=6 1/3+6 1/6

x-13/2=19/3+37/6

x-13/2=38/6+37/6

x-13/2=75/6

x        =75/6+13/2

x        =75/6+39/6

x        =19

x-3/7=1/2+3/7

x-3/7=7/14+6/14

x-3/7=13/14

x      =13/14+3/7

x      =13/14+6/14

x      =19/14

x-3/5=1/3:1/6

x-3/5=1/3x6

x-3/5=2

x      =2+3/5

x      =10/5+3/5

x      =13/5

x:3/2=5/6-3/8

x:3/2=40/48-18/48

x:3/2=11/24

x      =11/24x3/2

x      =3/16

`3/5+2/5:x=1 1/10`

`3/5+2/5:x=11/10`

`2/5:x=11/10-3/5=1/2`

`x=2/5:1/2=4/5`

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`(x-3/5)xx3/8-5/8=1/6`

`(x-3/5)xx3/8=1/6+5/8`

`(x-3/5)xx3/8=4/24+15/24=19/24`

`x-3/5=19/24:3/8=19/9`

`x=19/9+3/5=122/45`

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`1 1/6-5/6:(x+1/4)=1/2`

`7/6-5/6:(x+1/4)=1/2`

`5/6:(x+1/4)=7/6-1/2=2/3`

`x+1/4=5/6:2/3=5/4`

`x=5/4-1/4=4/4=1`

\(\Leftrightarrow\dfrac{3}{x\left(x+3\right)}+\dfrac{3}{\left(x+3\right)\left(x+6\right)}+...+\dfrac{3}{\left(x+9\right)\left(x+12\right)}=\dfrac{3}{16}\)

=>\(\dfrac{1}{x}-\dfrac{1}{x+3}+\dfrac{1}{x+3}-\dfrac{1}{x+6}+...+\dfrac{1}{x+9}-\dfrac{1}{x+12}=\dfrac{3}{16}\)=>\(\dfrac{1}{x}-\dfrac{1}{x+12}=\dfrac{3}{16}\)

=>\(\dfrac{x+12-x}{x\left(x+12\right)}=\dfrac{3}{16}\)

=>12/x(x+12)=3/16

=>4/x(x+12)=1/16

=>x(x+12)=64

=>x^2+12x-64=0

=>x^2+16x-4x-64=0

=>(x+16)(x-4)=0

=>x=4 hoặc x=-16