Question

2,5x(3 1/3-2/3)-1.3:3 1/4

Answer 1

Ответ:16 4/15
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Answer 2

Let's break down the expression step by step:

Step 1: Simplify the expression within the parentheses. 3 1/3 - 2/3 can be converted to a mixed fraction. To do that, we need to find a common denominator: 3 1/3 = (3 * 3 + 1) / 3 = 10/3 Now we can simplify the expression within the parentheses: 2.5x(10/3 - 2/3)

Step 2: Subtract the fractions within the parentheses: (10/3 - 2/3) = 8/3

Step 3: Multiply the result from step 2 by 2.5: 2.5 * (8/3)

Step 4: Simplify the expression 1.3:3 1/4 To simplify division involving mixed fractions, we convert the mixed fraction to an improper fraction first: 3 1/4 = (3 * 4 + 1) / 4 = 13/4 Now we can perform the division: 1.3 / (13/4)

Step 5: Divide 1.3 by 13/4: 1.3 / (13/4) = 1.3 * (4/13)

Step 6: Multiply the result from step 5 by the result from step 3: (1.3 * (4/13)) * (2.5 * (8/3))

Now, we can simplify the expression further by performing the multiplication and division operations in the order they appear from left to right:

= (1.3 * 4/13) * (2.5 * 8/3) = (5.2/13) * (20/3) = (5.2 * 20) / (13 * 3) = 104 / 39 = 2.6667 (rounded to four decimal places)

Therefore, the value of the expression 2.5x(3 1/3 - 2/3) - 1.3:3 1/4 is approximately 2.6667.