
J a) 3 - 4 +3 2/7 + 5 целых 3/14


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Ответ:
надеюсь, условие я правильно поняла)
буду благодарна за спасибо❤, и лучший ответ)




To evaluate the expression 3 - 4 + 3 2/7 + 5 целых 3/14, we need to perform the operations in the correct order.
First, let's convert the mixed number 5 целых 3/14 to an improper fraction. The term "5 целых" means 5 whole units, so we can write it as 5 + 3/14.
Now, we can add up all the fractions: 3 2/7 + 5 + 5 + 3/14
Next, we need to find a common denominator for the fractions. The denominators are 7 and 14, so the least common multiple (LCM) is 14.
Converting the fractions to have a denominator of 14: 3 4/14 + 5 + 5 + 3/14
Now, we can add the fractions and whole numbers separately: 3 4/14 + 5 + 5 + 3/14 = 3 4/14 + 5 + 5 + 3/14 = 3 7/14 + 5 + 5 + 3/14 = 3 7/14 + 5 + 5 + 3/14
The whole numbers can be added: 3 + 5 + 5 = 13.
The fraction 7/14 can be simplified to 1/2. Therefore: 3 7/14 + 5 + 5 + 3/14 = 3 1/2 + 5 + 5 + 3/14
Now, let's convert the mixed number 3 1/2 to an improper fraction. 3 1/2 can be written as 3 + 1/2, which is equal to 6/2 + 1/2 = 7/2.
Substituting the values back into the expression: 3 1/2 + 5 + 5 + 3/14 = 7/2 + 5 + 5 + 3/14
To add the fractions, we need a common denominator of 2 and 14, which is 28.
Converting the fractions to have a denominator of 28: 7/2 + 5 + 5 + 3/14 = 7/2 + 70/14 + 70/14 + 3/14
Now, we can add the fractions and the whole numbers separately: 7/2 + 70/14 + 70/14 + 3/14 = 49/14 + 70/14 + 70/14 + 3/14
Adding the fractions: 49/14 + 70/14 + 70/14 + 3/14 = (49 + 70 + 70 + 3) / 14 = 192/14
The fraction 192/14 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2: 192/14 = 96/7
Therefore, the final result of the expression 3 - 4 + 3 2/7 + 5 целых 3/14 is 96/7.


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