Question

12 1/2: (x+4 2/9)=2 1/7

Answer 1

Здраствуйте, ответ указен на фотографии

Answer 2

To solve for x in the equation:

12 1/2 - (x + 4 2/9) = 2 1/7

First, let's subtract 2 1/7 from both sides of the equation:

12 1/2 - 2 1/7 = x + 4 2/9

Now, let's simplify each side separately:

On the left side, we need to subtract the fractions first:

12 1/2 - 2 1/7 = (12 + 1/2) - (2 + 1/7) = 12 + 1/2 - 2 - 1/7

Now, find a common denominator for the fractions on the left side, which is 2 * 7 = 14:

(12 + 7/14) - (2 + 2/14) = 12 + 7/14 - 2 - 2/14

Now, combine the whole numbers and fractions:

(12 - 2) + (7/14 - 2/14) = 10 + 5/14

So, the left side simplifies to:

10 5/14

Now, we can rewrite the equation as:

10 5/14 = x + 4 2/9

Next, let's subtract 4 2/9 from both sides to isolate x:

10 5/14 - 4 2/9 = x

Now, find a common denominator for the fractions:

(10 + 5/14) - (4 + 2/9) = 10 + 5/14 - 4 - 2/9

Combine the whole numbers and fractions:

(10 - 4) + (5/14 - 2/9) = 6 + (45/126 - 28/126)

Now, subtract the fractions:

6 + (17/126)

Now, you can simplify further if needed, but the value of x is:

x = 6 + 17/126

You can leave it in this form or convert it to a mixed number or decimal as needed.