
(46-42 7/12):1 1/4+36*5/12=


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Ответ:
19.
(решение на фото)
@milkyway147




Let's break down the expression step by step:
First, perform the subtraction inside the parentheses: 46 - 42 7/12 = 3 5/12.
Now, you have the expression as follows: (3 5/12):1 1/4 + 36 * 5/12.
Next, divide 3 5/12 by 1 1/4. To do this, convert both fractions to a common denominator, which is 12.
3 5/12 ÷ 1 1/4 = (47/12) ÷ (5/4).
To divide fractions, multiply by the reciprocal of the divisor:
(47/12) ÷ (5/4) = (47/12) * (4/5).
Now, multiply the fractions:
(47/12) * (4/5) = (47 * 4) / (12 * 5) = 188/60.
Reduce the fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
(188/4) / (60/4) = 47/15.
So, (3 5/12):1 1/4 = 47/15.
Finally, add 36 * 5/12 to the result:
47/15 + 36 * 5/12.
To add these fractions, first, find a common denominator, which is 60:
(47/15) + (36 * 5/12) = (47/15) + (180/60).
Now that they have the same denominator, you can add the fractions:
(47/15) + (180/60) = (188/60) + (180/60) = (188 + 180)/60 = 368/60.
- Reduce the fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
(368/4) / (60/4) = 92/15.
So, the final result is 92/15.


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