
15целых2/3+(5,6-1целая1/7×4,48)=


Ответы на вопрос




To solve the given expression, let's break it down step by step:
15 целых 2/3 can be written as a mixed number: 15 + 2/3.
Next, let's simplify the second part of the expression: 5.6 - 1 целая 1/7 × 4.48.
To calculate the value of 1 целая 1/7 × 4.48, we first need to convert 1 целая 1/7 to an improper fraction. 1 целая 1/7 is equivalent to (7 × 1 + 1)/7, which simplifies to 8/7.
Now we can multiply 8/7 by 4.48: 8/7 × 4.48 = (8 × 4.48)/7 = 35.84/7.
Now let's subtract this value from 5.6: 5.6 - 35.84/7 = 5.6 - 5.12.
Now, let's add the simplified expressions together: 15 + 2/3 + (5.6 - 5.12).
Subtracting 5.12 from 5.6 gives us 0.48.
Now we can add 15 and 2/3 to 0.48: 15 + 2/3 + 0.48 = 15 + 2/3 + 48/100 = 15 + 2/3 + 12/25.
To add fractions, we need to find a common denominator, which in this case is 75. Converting 2/3 to have a denominator of 75, we get 50/75.
Now we can add the fractions: 15 + 50/75 + 12/25.
To add the fractions, we need to have the same denominator: 50/75 can be simplified to 2/3.
Now we have: 15 + 2/3 + 12/25.
To add these fractions, we need to find a common denominator, which is 75. Converting 12/25 to have a denominator of 75, we get 36/75.
Now we can add the fractions: 15 + 2/3 + 36/75.
To add the fractions, we need to have the same denominator: 2/3 can be converted to 50/75.
Now we have: 15 + 50/75 + 36/75.
Adding the fractions, we get: 15 + 86/75.
To add the whole number and the fraction, we need to convert the whole number to have the same denominator as the fraction: 15 can be converted to 1125/75.
Now we have: 1125/75 + 86/75.
Adding the fractions, we get: 1211/75.
Therefore, the simplified value of the expression is 1211/75.


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