Question

(x+8 17/36)+7 31/36=25 1/36

Answer 1

(х+8 17/36)+7 31/36=25 1/36
х+8 17/36=25 1/36-7 31/36
х+ 8 17/36=24 37/36-7 31/36
х + 8 17/36=17 6/36
х= 17 6/36-8 17/36
х=16 42/36-8 17/36
х=8 25/36
Проверка:
(8 25/36+8 17/36)+7 31/36=25 1/36
16 42/36+ 7 31/36= 25 1/36
23 73/36=25 1/36
25 1/36=25 1/36
Ответ 8 25/36

Answer 2

$(x + 8\frac{17}{36}) + 7 \frac{31}{36} = 25 \frac{1}{36} \\ \\ x + 8\frac{17}{36} = 25 \frac{1}{36} -7 \frac{31}{36} \\ \\ x + 8\frac{17}{36} = 24 \frac{37}{36} -7 \frac{31}{36} \\ \\ x + 8\frac{17}{36} = 17 \frac{6}{36} \\ \\ x = 17 \frac{6}{36} - 8\frac{17}{36} \\ \\ x = 16 \frac{42}{36} - 8\frac{17}{36} \\ \\ x=8 \frac{25}{36} \\ \\ ( 16\frac{25}{36} +8 \frac{17}{36}) + 7 \frac{31}{36} = 25 \frac{1}{36} \\ \\25 \frac{1}{36} = 25 \frac{1}{36}$
Ответ: x =  $8 \frac{25}{36}$

Answer 3

To verify the given equation, let's simplify both sides and check if they are equal.

On the left-hand side: (x + 8 17/36) + 7 31/36 To add mixed numbers, we first need to convert them to improper fractions. 8 17/36 can be written as (836 + 17)/36 = (288 + 17)/36 = 305/36 7 31/36 can be written as (736 + 31)/36 = (252 + 31)/36 = 283/36

Now, we can add the fractions: (x + 305/36) + 283/36

Combining the fractions: (x + 305 + 283)/36 = (x + 588)/36

Now, let's simplify the right-hand side: 25 1/36 can be written as (25*36 + 1)/36 = (900 + 1)/36 = 901/36

Now, our equation becomes: (x + 588)/36 = 901/36

To solve for x, we can multiply both sides of the equation by 36: 36(x + 588)/36 = 901/36 * 36

This simplifies to: x + 588 = 901

Next, we can isolate x by subtracting 588 from both sides: x + 588 - 588 = 901 - 588

This gives us: x = 313

Therefore, the value of x that satisfies the equation is x = 313.