Question

8 5/12+(4 - x) если x=3 1/8

Answer 1

4 - 3 1/8 = 7/8
8 10/24+21/24=8 31/24=9 7/24
ответ: 9 7/24

Answer 2

To find the value of the expression 8 + 5/12 + (4 - x), where x = 3 1/8, we need to substitute the value of x into the expression and then simplify it.

Given that x = 3 1/8, we can convert the mixed number 3 1/8 into an improper fraction. To do this, we multiply the whole number (3) by the denominator (8) and add the numerator (1). This gives us (3 * 8 + 1) / 8 = 25 / 8.

Now, let's substitute x = 3 1/8 into the expression:

8 + 5/12 + (4 - x) = 8 + 5/12 + (4 - 25/8)

Next, we need to simplify the expression inside the parentheses by subtracting 25/8 from 4:

4 - 25/8 = (4 * 8 - 25) / 8 = (32 - 25) / 8 = 7 / 8

Now, let's substitute the simplified value back into the expression:

8 + 5/12 + 7/8

To add fractions with different denominators, we first need to find a common denominator. In this case, the common denominator for 12 and 8 is 24. We can convert the fractions to have a denominator of 24:

8 + (5/12 * 2/2) + (7/8 * 3/3) = 8 + 10/24 + 21/24

Now that the fractions have the same denominator, we can add them:

8 + (10 + 21) / 24 = 8 + 31/24

To simplify this mixed number, we need to divide the numerator by the denominator:

31/24 = 1 7/24

Finally, we can add this simplified fraction to 8:

8 + 1 7/24

To add a mixed number, we add the whole numbers and the fractions separately:

8 + 1 + 7/24 = 9 + 7/24 = 9 7/24

Therefore, the value of the expression 8 + 5/12 + (4 - x), where x = 3 1/8, is 9 7/24.