Tính:

To simplify the given expression, let's break it down step by step:

b = (1/2 - 3/17 + 3/37) / (5/6 - 5/17 + 5/37 + 0.5 - 1/3 + 1/4 - 0.2) / (7/5 - 7/4 + 7/3 - 3.5)

First, let's simplify the numerator:

Numerator = 1/2 - 3/17 + 3/37

To add fractions, we need a common denominator. The least common multiple of 2, 17, and 37 is 2 * 17 * 37 = 1258.

Numerator = (1/2 * 629/629) - (3/17 * 74/74) + (3/37 * 34/34)
= 629/1258 - 222/1258 + 102/1258
= (629 - 222 + 102)/1258
= 509/1258

Now, let's simplify the denominator:

Denominator = 5/6 - 5/17 + 5/37 + 0.5 - 1/3 + 1/4 - 0.2

To add fractions, we need a common denominator. The least common multiple of 6, 17, 37, 2, 3, and 4 is 2 * 3 * 4 * 17 * 37 = 75048.

Denominator = (5/6 * 12508/12508) - (5/17 * 4416/4416) + (5/37 * 2024/2024) + (0.5 * 150096/150096) - (1/3 * 50016/50016) + (1/4 * 37512/37512) - (0.2 * 375240/375240)
= 20840/75048 - 22080/75048 + 10100/75048 + 75048/150096 - 16672/50016 + 9378/37512 - 75048/375240
= (20840 - 22080 + 10100 + 75048 - 16672 + 9378 - 75048)/75048
= 0/75048
= 0

Now, let's simplify the whole expression:

b = Numerator / Denominator
= (509/1258) / 0
= undefined

Therefore, the value of b is undefined.