Вопрос:

3,75:1\frac{1}{2}+(1,5:3\frac{3}{4})\cdot2\frac{1}{2}+(1\frac{1}{7}-\frac{23}{49}):\frac{22}{147} / 2:3,2+(3,25:13):\frac{2}{3}-(2\frac{5}{18}-\frac{17}{36})\cdot\frac{18}{65}

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Ответ:

Numerator:
3.75 = 15/4, 1 1/2 = 3/2, 1.5 = 3/2, 3 3/4 = 15/4, 2 1/2 = 5/2, 1 1/7 = 8/7, 22/147.
(15/4) : (3/2) = 15/4 * 2/3 = 5/2.
(3/2) : (15/4) = 3/2 * 4/15 = 2/5.
(2/5) * (5/2) = 1.
(8/7 - 23/49) = (56-23)/49 = 33/49.
(33/49) : (22/147) = 33/49 * 147/22 = 33/1 * 3/2 = 99/2.
Numerator = 5/2 + 1 + 99/2 = 104/2 + 1 = 52 + 1 = 53.
Denominator:
2:3.2 = 2 : 16/5 = 2 * 5/16 = 5/8.
3.25 = 13/4.
(13/4) : 13 = 13/4 * 1/13 = 1/4.
2 5/18 = 41/18.
41/18 - 17/36 = (82-17)/36 = 65/36.
(65/36) * (18/65) = 1/2.
Denominator = 5/8 + 1/4 - 1/2 = (5+2-4)/8 = 3/8.
Final Answer = 53 / (3/8) = 53 * 8/3 = 424/3.
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