
15:3 3/4-(-10 1/2:1 1/2)*3/14):(1 1/4-1 23/52)= Решить дроби.


Ответы на вопрос

Ответ:
1) -10 1/2 : 1 1/2 = -21/2 * 2/3 = -7
2) -7 * 3/14 = -3/2
3) 15 : 3 3/4 = 15 * 4/15 = 4
4) 4 -(-3/2) = 4 + 3/2 = 5 1/2
5) 1 1/4 - 1 23/52 = 1 13/52 - 1 23/52 = -10/52 = -5/26
6) 5 1/2 : (-5/26)= 11/2 *(- 26/5) = -143/5 = -28 3/5
Пошаговое объяснение:



Ответ:
1.-7
2.3/2
Пошаговое объяснение:



To solve the expression involving fractions, follow these steps:
Step 1: Convert all mixed numbers to improper fractions. Step 2: Perform the operations according to the order of operations (PEMDAS/BODMAS).
Given expression: 15 3/4 - (-10 1/2 ÷ 1 1/2) * 3/14 ÷ (1 1/4 - 1 23/52)
Step 1: Convert mixed numbers to improper fractions: 15 3/4 = (4 * 15 + 3) / 4 = 63/4 -10 1/2 = (2 * -10 + 1) / 2 = -21/2 1 1/2 = (2 * 1 + 1) / 2 = 3/2 1 1/4 = (4 * 1 + 1) / 4 = 5/4 1 23/52 = (52 * 1 + 23) / 52 = 75/52
Now the expression becomes: (63/4) - (-21/2 ÷ 3/2) * 3/14 ÷ (5/4 - 75/52)
Step 2: Perform the operations step by step:
First, simplify the expression inside the parentheses: -21/2 ÷ 3/2 = (-21/2) * (2/3) = -21/3 = -7
Now, the expression becomes: (63/4) - (-7) * 3/14 ÷ (5/4 - 75/52)
Next, simplify the expression inside the second set of parentheses: 5/4 - 75/52
To subtract these fractions, find a common denominator, which is 52: (5 * 13)/(4 * 13) - 75/52 = 65/52 - 75/52
Now, subtract the fractions: 65/52 - 75/52 = (65 - 75)/52 = -10/52 = -5/26
Now, the expression becomes: (63/4) - (-7) * 3/14 ÷ (-5/26)
Next, simplify the expression inside the second set of parentheses: (-7) * 3/14 = (-21/14) = -3/2
Now, the expression becomes: (63/4) - (-3/2) ÷ (-5/26)
Next, divide the fractions: (-3/2) ÷ (-5/26) = (-3/2) * (-26/5) = (3/2) * (26/5) = 39/5
Now, the expression becomes: (63/4) - (39/5)
To subtract these fractions, find a common denominator, which is 20: (63 * 5)/(4 * 5) - (39 * 4)/ (5 * 4) = 315/20 - 156/20
Now, subtract the fractions: 315/20 - 156/20 = (315 - 156)/20 = 159/20
So, the final answer is 159/20.


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