Question

49,09:1,5-(2 1/3×4 1/2-2,5×22):4 1/4​

Answer 1

Ответ написан большими (выделенными) цифрами

Answer 2

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

1. First, calculate the values within parentheses:

   2 1/3 × 4 1/2 = (7/3) × (9/2) = 63/6 = 21/2

   2.5 × 22 = 55

   Now, the expression becomes:

   49.09:1.5 - (21/2 - 55):4 1/4

2. Perform the subtraction inside the second set of parentheses:

   21/2 - 55 = 21/2 - 110/2 = -89/2

3. Now, we have:

   49.09:1.5 - (-89/2):4 1/4

4. Divide 49.09 by 1.5:

   49.09 / 1.5 = 32.726666...

5. Divide -89/2 by 4 1/4:

   -89/2 ÷ 17/4 = -89/2 × 4/17 = -178/17

6. The final expression becomes:

   32.726666... - (-178/17)

7. Subtracting a negative number is the same as adding the positive number:

   32.726666... + 178/17

Now, to add a mixed number (32 726666... is essentially a mixed number), you need to convert it to an improper fraction:

32 726666... = 32 + 726666.../1

Now, add the fractions:

32 + (726666.../1) + 178/17

To add these fractions, find a common denominator (which is 17 in this case):

32 * 17/17 + (726666.../1) + 178/17

Now, you can add the fractions:

(32 * 17 + 726666... + 178) / 17

Calculate the numerator:

(544 + 726666... + 178) / 17

Now, you have:

(726388.../1) / 17

Divide the numerator by 17:

726388.../17

So, the simplified result of the expression is approximately:

42,682.235... (repeating)