(6 1/7 - 5 3/4) : 11/14 + (3 3/4 - 1 5/6) : 1/6

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вопрос

To solve this problem, we will first convert all the mixed numbers into improper fractions.

6 1/7 = 43/7
5 3/4 = 23/4
3 3/4 = 15/4
1 5/6 = 11/6

Now, we can substitute these values into the equation and simplify:

(43/7 - 23/4) / 11/14 + (15/4 - 11/6) / 1/6
= (172/28 - 161/28) / 11/14 + (90/24 - 44/24) / 1/6
= (11/28) / 11/14 + (46/24) / 1/6
= (11/28) / (11/14) + (46/24) / (1/6)
= (11/28) (14/11) + (46/24) 6
= 2 + 11/4
= 2 3/4

Therefore, the solution to the equation (6 1/7 - 5 3/4) : 11/14 + (3 3/4 - 1 5/6) : 1/6 is 2 3/4.