
5 1/2+(4 17/28-1 5/7 *2 1/4) : 1 1/20=. помогите решить


Ответы на вопрос

Ответ:
Пошаговое объяснение:




Ответ:
Пошаговое объяснение:
1 5/7*2 1/4=12/7*9/4=27/7=3 6/7
4 17/28-3 6/7=4 17/28-3 24/28=3/4
3/4:1 1/20=3/4*20/21=5/7
5 1/2+5/7=5 7/14+10/14=6 3/14



Sure, let's solve the expression step by step. To avoid confusion, I'll use parentheses to clearly separate the different operations:
Step 1: Perform the multiplication inside the parentheses: 1 5/7 * 2 1/4 = (12/7) * (9/4) = 108/28 = 27/7
Step 2: Subtract the result from 4 17/28: 4 17/28 - 27/7
To subtract these mixed fractions, we first need to find a common denominator. The common denominator for 28 and 7 is 28. Let's convert both fractions:
4 17/28 = (4 * 28 + 17)/28 = 115/28 27/7 = (27 * 4)/28 = 108/28
Now, we can perform the subtraction:
115/28 - 108/28 = (115 - 108)/28 = 7/28
Step 3: Add 5 1/2 to the result from Step 2: 5 1/2 + 7/28
To add these mixed fractions, we need to find a common denominator. The common denominator for 2 and 28 is 56. Let's convert both fractions:
5 1/2 = (5 * 2 + 1)/2 = 11/2 7/28 = (7 * 2)/56 = 14/56
Now, we can perform the addition:
11/2 + 14/56
Step 4: Divide the result from Step 3 by 1 1/20: To divide by a fraction, we multiply by its reciprocal. The reciprocal of 1 1/20 is 20/21.
(11/2 + 14/56) * 20/21
Now, let's convert 11/2 to have the same denominator as 56:
11/2 = (11 * 28)/56 = 308/56
The expression now becomes:
(308/56 + 14/56) * 20/21
Now, we can perform the addition:
(308 + 14)/56 * 20/21 = 322/56 * 20/21
Step 5: Simplify the result:
322/56 * 20/21 = (46 * 7)/(8 * 7) * (4 * 5)/(3 * 7) = (46 * 4)/(3 * 1) = 184/3
So, the final result of the expression is 184/3 or 61 1/3.


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