
(5*х)/13=8/52 С объяснением пожалуйста


Ответы на вопрос

Ответ:
Пошаговое объяснение:
Это пропорция, где произведение крайних равно произведению средних
(5*х)/13=8/52
5х*52=13*8
260х=104
Х=104:260
Х=0,4



To solve the equation (5*x)/13 = 8/52, we need to isolate the variable x. Here's how we can do it step by step:
Step 1: Simplify both sides of the equation. On the left side, we can simplify (5*x)/13 by multiplying 5 and x, which gives us 5x. So the equation becomes 5x/13 = 8/52.
Step 2: Simplify the right side of the equation. To simplify 8/52, we can divide both the numerator and denominator by their greatest common divisor, which is 4. Dividing 8 by 4 gives us 2, and dividing 52 by 4 gives us 13. So the equation becomes 5x/13 = 2/13.
Step 3: Cross-multiply. To eliminate the fractions, we can cross-multiply. This means multiplying the numerator of the left side by the denominator of the right side, and vice versa. So we have (5x * 13) = (2 * 13).
Step 4: Solve for x. Multiplying 5x by 13 gives us 65x, and multiplying 2 by 13 gives us 26. So the equation becomes 65x = 26.
Step 5: Divide both sides by 65. To isolate x, we divide both sides of the equation by 65. This gives us x = 26/65.
Therefore, the solution to the equation (5*x)/13 = 8/52 is x = 26/65.
I hope this explanation helps! Let me know if you have any further questions.


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