a) \(\dfrac{3}{5}:\left(\dfrac{-1}{15}-\dfrac{1}{6}\right)+\dfrac{3}{5}:\left(\dfrac{-1}{3}-1\dfrac{1}{15}\right)\)

\(=\dfrac{3}{5}:\left(\dfrac{-1}{15}-1\dfrac{1}{15}-\dfrac{1}{6}+\dfrac{-2}{6}\right)\)

\(=\dfrac{3}{5}:\left(\dfrac{-17}{15}-\dfrac{1}{6}\right)\)

\(=\dfrac{3}{5}\cdot\dfrac{-10}{13}\)

\(=\dfrac{-6}{13}\)

a: \(=\dfrac{15}{4}:\dfrac{2-7}{16}-\dfrac{5}{9}\cdot\left(\dfrac{3}{5}+\dfrac{4}{5}\right)\)

\(=\dfrac{15}{4}\cdot\dfrac{16}{-5}-\dfrac{5}{9}\cdot\dfrac{7}{5}\)

\(=\dfrac{-240}{20}-\dfrac{7}{9}=-12-\dfrac{7}{9}=\dfrac{-115}{9}\)

c: \(=\dfrac{1}{5}-\dfrac{7}{2}-\dfrac{3}{2}+\dfrac{5}{4}\)

\(=\dfrac{4+25}{20}-5=\dfrac{29}{20}-\dfrac{100}{20}=\dfrac{-71}{20}\)

d: \(=\dfrac{12}{17}\left(1-\dfrac{1}{15}-\dfrac{4}{5}+1\right)=\dfrac{12}{17}\cdot\dfrac{17}{15}=\dfrac{12}{15}=\dfrac{4}{5}\)

e: \(=\dfrac{2}{15}\cdot\dfrac{9}{8}-\dfrac{7}{4}\cdot\dfrac{9}{8}+\dfrac{25}{36}\)

\(=\dfrac{9}{8}\left(\dfrac{2}{15}-\dfrac{7}{4}\right)+\dfrac{25}{36}\)

\(=\dfrac{9}{8}\cdot\dfrac{8-105}{60}+\dfrac{25}{36}\)

\(=\dfrac{9}{8}\cdot\dfrac{-97}{60}+\dfrac{25}{36}=\dfrac{-1619}{1440}\)

\(9\cdot\left(-\frac13\right)^2-\left(-\frac{2}{15}\right):\left(-0,1\right)^3-\frac52\cdot\left(-4\right)\)

\(=9\cdot\frac19-\left(-\frac{2}{15}\right):\left(-\frac{1}{1000}\right)+\frac52\cdot4\)

\(=1-\frac{2}{15}:\frac{1}{1000}+10\)

\(=11-\frac{2000}{15}=11-\frac{400}{3}=\frac{33}{3}-\frac{400}{3}=\frac{-367}{3}\)

a)1/2:0,5-1/4:0,25+1/8:0,125-1/10:0,1

=1/2x2-1/4x4+1/8x8-1/10x10

=1-1+1-1

=0

b)không biết k 2 cái là dc rồi

`1/3-5/6+3/2`

`=2/6-5/6+9/6`

`=-3/6+9/6`

`=6/6`

`=1`

__

`2/13-(15/13+4-0,5)`

`=2/13-1513-4+0,5`

`=(2/13-15/13)-4,5`

`=-13/13-4,5`

`=-1-4,5`

`=-5,5`

__

`-(1/9+7/5-3/11)+(-2/5+17/9-8/11)`

`=-1/9-7/5+3/11+(-2)/5+17/9-8/11`

`=(-1/9+17/9)+(-7/5+(-2)/5)+(3/11-8/11)`

`=16/9-9/5-5/11`

`=-236/495`

__

`5,75-3,25+5 5/6`

`=5/2+35/6`

`=15/6+35/6`

`=50/6`

`=25/3`

( 0,1+ 0,2+...+0.9)+(0,10+0,11+...+0,19

=4,5+1,45=5,95