(101036/5+(4237/1000-a*36.124)*8*(14939/100+a*210.96))*1/(22*(14939/100+a*210.96)) если a=1/3 (упростите выражение)

$$frac{1}{22 left(frac{5274 a}{25} + frac{14939}{100}right)} left(8 left(- frac{9031 a}{250} + frac{4237}{1000}right) left(frac{5274 a}{25} + frac{14939}{100}right) + frac{101036}{5}right)$$

$$frac{1}{22 left(frac{5274 a}{25} + frac{14939}{100}right)} left(8 left(- frac{9031 a}{250} + frac{4237}{1000}right) left(frac{5274 a}{25} + frac{14939}{100}right) + frac{101036}{5}right)$$

(101036/5 + ((4237/1000 – (1/3)*9031/250)*8)*(14939/100 + (1/3)*5274/25))/(22*(14939/100 + (1/3)*5274/25))

$$frac{1}{22 left(frac{5274 (1/3)}{25} + frac{14939}{100}right)} left(8 left(- frac{9031 (1/3)}{250} + frac{4237}{1000}right) left(frac{5274 (1/3)}{25} + frac{14939}{100}right) + frac{101036}{5}right)$$

(101036/5 + ((4237/1000 – 9031/(3*250))*8)*(14939/100 + 5274/(3*25)))/(22*(14939/100 + 5274/(3*25)))

$$frac{1}{22 left(frac{5274}{75} + frac{14939}{100}right)} left(8 left(- frac{9031}{750} + frac{4237}{1000}right) left(frac{5274}{75} + frac{14939}{100}right) + frac{101036}{5}right)$$

22123907/16478250

$$frac{22123907}{16478250}$$

$$frac{1}{frac{116028 a}{25} + frac{164329}{50}} left(left(- frac{36124 a}{125} + frac{4237}{125}right) left(frac{5274 a}{25} + frac{14939}{100}right) + frac{101036}{5}right)$$

(20207.2 + 8.0*(149.39 + 210.96*a)*(4.237 – 36.124*a))/(3286.58 + 4641.12*a)

$$frac{1}{36258750000000000 a + 25676406250000000} left(12500 left(- 72248000 a + 8474000right) left(527400 a + 373475right) + 157868750000000000right)$$

$$frac{1}{58014000 a + 41082250} left(left(- 36124 a + 4237right) left(21096 a + 14939right) + 252590000right)$$

252590000 + (4237 – 36124*a)*(14939 + 21096*a)
———————————————-
2750*(14939 + 21096*a)

$$frac{1}{58014000 a + 41082250} left(left(- 36124 a + 4237right) left(21096 a + 14939right) + 252590000right)$$

$$frac{1}{frac{116028 a}{25} + frac{164329}{50}} left(8 left(- frac{9031 a}{250} + frac{4237}{1000}right) left(frac{5274 a}{25} + frac{14939}{100}right) + frac{101036}{5}right)$$

4237 1010360 1642*a
—- + —————– – ——
2750 164329 + 232056*a 125

$$- frac{1642 a}{125} + frac{4237}{2750} + frac{1010360}{232056 a + 164329}$$

/ 2
– -315886543 + 450272684*a + 762071904*a /
——————————————-
2750*(14939 + 21096*a)

$$- frac{762071904 a^{2} + 450272684 a – 315886543}{58014000 a + 41082250}$$

101036 /4237 a*9031 /14939 a*5274
—— + |—- – ——|*8*|—– + ——|
5 1000 250 / 100 25 /
——————————————-
/14939 a*5274
22*|—– + ——|
100 25 /

$$frac{1}{frac{116028 a}{25} + frac{164329}{50}} left(8 left(- frac{9031 a}{250} + frac{4237}{1000}right) left(frac{5274 a}{25} + frac{14939}{100}right) + frac{101036}{5}right)$$