Подстановка условия
[src]
(a + 5*b + 22)/(a + b + 11) при a = 3/2
a + 5*b + 22
------------
a + b + 11
$$\frac{a + 5 b + 22}{a + b + 11}$$
22 + a + 5*b
------------
11 + a + b
$$\frac{a + 5 b + 22}{a + b + 11}$$
$$a = \frac{3}{2}$$
22 + (3/2) + 5*b
----------------
11 + (3/2) + b
$$\frac{(3/2) + 5 b + 22}{(3/2) + b + 11}$$
22 + 3/2 + 5*b
--------------
11 + 3/2 + b
$$\frac{5 b + \frac{3}{2} + 22}{b + \frac{3}{2} + 11}$$
47/2 + 5*b
----------
25/2 + b
$$\frac{5 b + \frac{47}{2}}{b + \frac{25}{2}}$$
Рациональный знаменатель
[src]
22 a 5*b
---------- + ---------- + ----------
11 + a + b 11 + a + b 11 + a + b
$$\frac{a}{a + b + 11} + \frac{5 b}{a + b + 11} + \frac{22}{a + b + 11}$$
22/(11 + a + b) + a/(11 + a + b) + 5*b/(11 + a + b)