Question

3 5/36-(1 4/9-x)=1 17/18​

Answer 1

Ответ:

Пошаговое объяснение:

3. 5/36 - (1. 4/9 - х) = 1. 17/18

1. 4/9 - х = 3. 5/36 - 1. 17/18

1. 16/36 - х = 3. 5/36 - 1. 34/36

1. 16/36 - х = 2. 41/36 - 1. 34/36

1. 16/36 - х = 1. 7/36

х = 1. 16/36 - 1. 7/36

х = 9/36

х = 1/4

Ответ: 1/4

Answer 2

$3 \frac{5}{36} - (1 \frac{4}{9} - x) = 1 \frac{17}{18} \\ \\ 3 \frac{5}{36} - 1 \frac{4}{9} + x = 1 \frac{17}{18} \\ \\ 3 \frac{5}{36} - 1 \frac{16}{36} + x = 1 \frac{17}{18} \\ \\ 2 \frac{41}{36} - 1\frac{16}{36} + x =1 \frac{17}{18} \\ \\ 1 \frac{25}{36} + x = 1 \frac{17}{18} \\ \\ x = 1 \frac{17}{18} - 1 \frac{25}{36} \\ \\ x = 1 \frac{34}{36} - 1 \frac{25}{36} \\ \\ x = \frac{9}{36} \\ \\ \boldsymbol{x = \frac{1}{4} }$

Answer 3

To solve the equation 3 5/36 - (1 4/9 - x) = 1 17/18, follow these steps:

Step 1: Convert all mixed numbers to improper fractions. 3 5/36 = (3 * 36 + 5)/36 = (108 + 5)/36 = 113/36 1 4/9 = (1 * 9 + 4)/9 = (9 + 4)/9 = 13/9 1 17/18 = (1 * 18 + 17)/18 = (18 + 17)/18 = 35/18

Now, the equation becomes: 113/36 - (13/9 - x) = 35/18

Step 2: Solve for x.

First, simplify the equation: 113/36 - (13/9 - x) = 35/18

To add fractions, they need the same denominator, so find a common denominator, which is 36 in this case: (113/36) - (4 * 13/36 - 36x/36) = 2 * 35/36

Now, you can simplify the equation further: (113/36) - (52/36 - 36x/36) = 70/36

Now, combine like terms in the parentheses: (113/36) - (52/36 + 36x/36) = 70/36

Now, add the fractions in the parentheses: (113/36) - ((52 + 36x)/36) = 70/36

To eliminate the denominators, multiply both sides of the equation by 36: 36 * (113/36) - 36 * ((52 + 36x)/36) = 36 * (70/36)

Now, simplify: 113 - 52 - 36x = 70

Combine like terms: 113 - 52 - 36x = 70

Now, isolate x by moving the constants to the other side of the equation: 113 - 52 - 70 = 36x

Combine constants: 113 - 52 - 70 = 36x

Now, simplify the equation: -9 = 36x

Finally, divide both sides by 36 to solve for x: x = -9/36

Simplify the fraction: x = -1/4

So, the solution to the equation is x = -1/4.