Question

2,5+(а-2 2/3),если а=4 5/6

Answer 1

25/10 + ( 29/6 - 16/6) = 5/2 + 13/6 = 15/6 + 13/6 =
28/6 = 4 целых 4/6

Answer 2

To evaluate the expression 2.5 * (a - 2 + 2/3), we need to substitute the value of a into the expression. Given that a = 4 + 5/6, we can substitute it into the expression as follows:

2.5 * (4 + 5/6 - 2 + 2/3)

To simplify this expression, we need to perform the operations inside the parentheses first. Let's break it down step by step:

Step 1: Simplify the expression inside the parentheses:

4 + 5/6 - 2 + 2/3

To add or subtract fractions, we need to find a common denominator. The common denominator for 6 and 3 is 6. Let's convert the fractions to have a denominator of 6:

4 + (5/6 * 1/1) - 2 + (2/3 * 2/2) 4 + 5/6 - 2 + 4/6

Step 2: Combine like terms:

4 - 2 + (5/6 + 4/6) 2 + 9/6

Step 3: Convert the mixed number to an improper fraction:

2 + (9/6 * 1/1) 2 + 9/6

Step 4: Add the whole number and the fraction:

2 + 9/6 = 12/6 + 9/6 = 21/6

Step 5: Multiply the result by 2.5:

2.5 * (21/6)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

2.5 * (21/6 * 1/1) = 2.5 * 21/6

Step 6: Simplify the fraction:

2.5 * (21/6) = 2.5 * (7/2) = 17.5

Therefore, the value of the expression 2.5 * (a - 2 + 2/3) when a = 4 + 5/6 is 17.5.