(1353*x/25+1499559/5)*1/(x*(300*x+150000))*1/((4*x+300*x+150000)*1/(15*x)) если x=-3/2 (упростите выражение)

$$frac{frac{1}{x left(300 x + 150000right)} left(frac{1353 x}{25} + frac{1499559}{5}right)}{frac{1}{15 x} left(4 x + 300 x + 150000right)}$$

$$frac{frac{1}{x left(300 x + 150000right)} left(frac{1353 x}{25} + frac{1499559}{5}right)}{frac{1}{15 x} left(4 x + 300 x + 150000right)}$$

(((1353*(-3/2))/25 + 1499559/5)/((-3/2)*(300*(-3/2) + 150000)))/((4*(-3/2) + 300*(-3/2) + 150000)/(15*(-3/2)))

$$frac{frac{1}{(-3/2) left(300 (-3/2) + 150000right)} left(frac{1353 (-3/2)}{25} + frac{1499559}{5}right)}{frac{1}{15 (-3/2)} left(4 (-3/2) + 300 (-3/2) + 150000right)}$$

(((1353*(-3)/2)/25 + 1499559/5)/(-3*(300*(-3)/2 + 150000)/2))/((4*(-3)/2 + 300*(-3)/2 + 150000)/(15*(-3)/2))

$$frac{frac{1}{-1 frac{3}{2} left(frac{-900}{2} + 150000right)} left(frac{- frac{4059}{2}}{25} 1 + frac{1499559}{5}right)}{frac{1}{- frac{3}{2} cdot 15} left(frac{-900}{2} + frac{-12}{2} + 150000right)}$$

4997177/24849228000

$$frac{4997177}{24849228000}$$

$$frac{frac{1353 x}{25} + frac{1499559}{5}}{left(frac{304 x}{15} + 10000right) left(300 x + 150000right)}$$

/1499559 1353*x
15*|——- + ——|
5 25 /
———————————
(150000 + 300*x)*(150000 + 304*x)

$$frac{frac{4059 x}{5} + 4498677}{left(300 x + 150000right) left(304 x + 150000right)}$$

15.0*(299911.8 + 54.12*x)/((150000.0 + 304.0*x)*(150000.0 + 300.0*x))

$$frac{20295 x + 112466925}{25 left(300 x + 150000right) left(304 x + 150000right)}$$

$$frac{1353 x + 7497795}{8000 left(x + 500right) left(19 x + 9375right)}$$

3*(2499265 + 451*x)
—————————-
8000*(500 + x)*(9375 + 19*x)

$$frac{1353 x + 7497795}{8000 left(x + 500right) left(19 x + 9375right)}$$

$$frac{frac{20295 x}{25} + 4498677}{left(300 x + 150000right) left(304 x + 150000right)}$$

7497795 + 1353*x
————————————-
2
37500000000 + 152000*x + 151000000*x

$$frac{1353 x + 7497795}{152000 x^{2} + 151000000 x + 37500000000}$$

3*(2499265 + 451*x)
—————————-
8000*(500 + x)*(9375 + 19*x)

$$frac{1353 x + 7497795}{8000 left(x + 500right) left(19 x + 9375right)}$$

/1353*x 1499559
15*|—— + ——-|
25 5 /
—————————————
(300*x + 150000)*(4*x + 300*x + 150000)

$$frac{frac{20295 x}{25} + 4498677}{left(300 x + 150000right) left(4 x + 300 x + 150000right)}$$