Question

-2,5/18+2,2/3-|-1,5|+(-2,1/4)=

Answer 1

Выполним вычисления поочередно:

-2,5/18 ≈ -0,1389

2,2/3 ≈ 0,7333

|-1,5| = 1,5

-0,1389 + 0,7333 - 1,5 - 2,1/4 ≈ -2,2056

Ответ: -2,2056.

Answer 2

To simplify the given expression, let's break it down step by step:

Step 1: Convert mixed numbers to improper fractions -2,5/18 = -2 + 5/18 = (-2 * 18 + 5) / 18 = (-36 + 5) / 18 = -31/18

2,2/3 = 2 + 2/3 = (2 * 3 + 2) / 3 = (6 + 2) / 3 = 8/3

-1,5 = -1.5 (since it's already in decimal form)

Step 2: Simplify the expression within the absolute value |-1,5| = |-1.5| = 1.5

Step 3: Substitute the values back into the expression -31/18 + 8/3 - 1.5 + (-2.1/4)

Step 4: Perform the arithmetic operations To add fractions, we need a common denominator. The common denominator for 18 and 3 is 18, so we'll convert 8/3 to the same denominator: 8/3 = (8/3) * (6/6) = 48/18

Now the expression becomes: (-31/18) + (48/18) - 1.5 + (-2.1/4)

Next, let's combine like terms: (-31/18) + (48/18) = 17/18

Now the expression becomes: (17/18) - 1.5 + (-2.1/4)

To add fractions, we need a common denominator. The common denominator for 18 and 4 is 36, so we'll convert -2.1/4 to the same denominator: -2.1/4 = (-2.1/4) * (9/9) = -18.9/36

Now the expression becomes: (17/18) - 1.5 + (-18.9/36)

Finally, let's combine like terms: (17/18) - 1.5 = (17/18) - (1.5 * 18/18) = (17/18) - (27/18) = -10/18

Now the expression becomes: (-10/18) + (-18.9/36)

To add fractions, we need a common denominator. The common denominator for 18 and 36 is 36.

(-10/18) + (-18.9/36) = (-10/18) * (2/2) + (-18.9/36) = (-20/36) + (-18.9/36) = (-20 - 18.9) / 36 = (-38.9) / 36

The final simplified result is approximately -1.0806.