
23 5\34-t=7 9\16+1 7\16


Ответы на вопрос




To solve the equation 23 + 5/34 - t = 7 + 9/16 + 1 + 7/16, we need to simplify the equation and isolate the variable t.
First, let's simplify the equation by adding the whole numbers separately and the fractions separately.
On the left side of the equation, we have 23 + 5/34 - t. On the right side of the equation, we have 7 + 9/16 + 1 + 7/16.
Let's start by adding the whole numbers: 23 + 7 + 1 = 31
Now let's add the fractions: 5/34 - t = 9/16 + 7/16
To add fractions, we need to have a common denominator. The common denominator for 34 and 16 is 544.
Multiplying the numerator and denominator of 5/34 by 16, we get 80/544. Multiplying the numerator and denominator of 9/16 by 34, we get 306/544. Multiplying the numerator and denominator of 7/16 by 34, we get 238/544.
Now we can rewrite the equation as: 80/544 - t = 306/544 + 238/544
Next, let's combine the fractions on both sides of the equation: 80/544 - t = (306 + 238)/544 80/544 - t = 544/544
Simplifying further, we have: 80/544 - t = 1
To isolate the variable t, we need to move the term with t to one side of the equation.
Subtracting 80/544 from both sides of the equation, we get: -t = 1 - 80/544
Simplifying the right side of the equation: -t = (544 - 80)/544 -t = 464/544
To solve for t, we can multiply both sides of the equation by -1 to get rid of the negative sign: t = -464/544
Simplifying the fraction, we have: t = -29/34
Therefore, the solution to the equation 23 + 5/34 - t = 7 + 9/16 + 1 + 7/16 is t = -29/34.


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