Question

x + 1/10 = 29/90. What is x?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of x, we need to isolate x on one side of the equation.

The equation is: x + 1/10 = 29/90

First, let's get rid of the fraction by multiplying both sides of the equation by the common denominator, 90:

90*(x + 1/10) = 90*(29/90)

90x + 9 = 29

Next, let's isolate x by subtracting 9 from both sides:

90x + 9 - 9 = 29 - 9

90x = 20

Finally, divide both sides of the equation by 90:

(90x)/90 = 20/90

x = 20/90

Simplifying the fraction by dividing both the numerator and the denominator by their greatest common divisor (which is 10), we get:

x = 2/9

Therefore, x = 2/9.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the value of x, we need to isolate it on one side of the equation. Let's solve the equation step by step:

x + 1/10 = 29/90

First, let's subtract 1/10 from both sides of the equation to move it to the other side:

x + 1/10 - 1/10 = 29/90 - 1/10

Simplifying the fractions on the right:

x = 29/90 - 9/90

Next, let's combine the fractions on the right side:

x = (29 - 9) / 90

Simplifying the numerator:

x = 20/90

Now, let's simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (which is 10 in this case):

x = 2/9

Therefore, the value of x is 2/9.

Answer 3

[AI-generated answer — Explain Bot]

To solve for x in the equation x + 1/10 = 29/90, you can follow these steps:

Step 1: Make sure the equation is in the form "x = ..." or "x = something".
- To do that, get rid of the fraction on the left side of the equation. Multiply every term by the lowest common denominator (LCD) of the fractions involved, which in this case is 10 times 90. So, 10 * 90 = 900.

Multiply each term by 900:
900 * (x + 1/10) = 900 * (29/90)
900x + 900 * (1/10) = 900 * (29/90)
900x + 900/10 = 900 * (29/90)
900x + 90 = 29 * 900 / 90

Step 2: Simplify the equation by using the distributive property and canceling out common factors if necessary.
- Distribute 900 to both terms on the left side by multiplying:
900x + 90 = 29 * 900 / 90
900x + 90 = 29 * 10

Step 3: Simplify further to isolate the variable x.
- Subtract 90 from both sides of the equation to isolate the term with x:
900x + 90 - 90 = 290
900x = 290

Step 4: Now, solve for x by dividing both sides by 900:
900x / 900 = 290 / 900
x = 290 / 900

The value of x is 290/900.