Question

5/2+9/2:(17/5-3/2:y)=25/6

Answer 1

У=15/7, или 2 целых одна седьмая.
Ответ: 15/7

Answer 2

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

1. Simplify the expression inside the parentheses first: 17/5 - 3/2

To subtract fractions, we need a common denominator. The least common multiple of 5 and 2 is 10. So, let's convert both fractions to have a denominator of 10:

(17/5) * (2/2) = 34/10 (3/2) * (5/5) = 15/10

Now, we can subtract the fractions:

34/10 - 15/10 = 19/10

2. Next, simplify the expression inside the second set of parentheses: 19/10 : y

Since we don't have any information about the value of "y," we can't simplify it any further. So, we leave it as is.

3. Now, let's substitute the result from step 2 into the original expression: 5/2 + 9/2 : (19/10)

To divide by a fraction, we can multiply by its reciprocal. So, let's rewrite the expression as:

5/2 + 9/2 * (10/19)

Now, multiply the fractions:

9/2 * (10/19) = 90/38 = 45/19

4. Finally, add the fractions:

5/2 + 45/19

To add fractions, we need a common denominator. The least common multiple of 2 and 19 is 38. So, let's convert both fractions to have a denominator of 38:

(5/2) * (19/19) = 95/38 (45/19) * (2/2) = 90/38

Now, we can add the fractions:

95/38 + 90/38 = 185/38

Therefore, the final result of the expression 5/2 + 9/2 : (17/5 - 3/2 : y) = 185/38.