How can you add,subtract,multiply, or devide the number 8,1/4,2,7 to get 24? You can only use the nunbers once

To solve this problem, we need to find a combination of addition, subtraction, multiplication, or division operations using the numbers 8, 1/4, 2, and 7, which will result in 24. Remember, each number can only be used once.

Let's explore the possible combinations:
1. Addition and subtraction:
- If we add all the numbers together: 8 + 1/4 + 2 + 7 = 17 1/4. This is not equal to 24.
- If we subtract all the numbers from 24: 24 - (8 + 1/4 + 2 + 7) = 6 3/4. This is not equal to 24.
- If we subtract 8 and divide the result by 2, we get: (24 - 8) ÷ 2 = 8. Again, this is not equal to 24.

2. Addition and multiplication:
- If we multiply all the numbers together: 8 × 1/4 × 2 × 7 = 28. This is not equal to 24.
- If we multiply 8 by 2 and subtract the result from 24: 24 - (8 × 2) = 8. This is not equal to 24.

3. Addition and division:
- If we divide 24 by the sum of all the numbers: 24 ÷ (8 + 1/4 + 2 + 7) = 1. This is not equal to 24.
- If we divide 24 by the sum of 8 and 2, then subtract the result from that sum: (8 + 2) - (24 ÷ (8 + 2)) = 10 - (24 ÷ 10) = 10 - 2.4 = 7.6. This is not equal to 24.

4. Subtraction and multiplication:
- If we subtract 8 from 24, then multiply the result by 2: (24 - 8) × 2 = 32. This is not equal to 24.
- If we subtract 24 from the product of 8 and 2: (8 × 2) - 24 = 16 - 24 = -8. This is not equal to 24.

5. Subtraction and division:
- If we divide 24 by 8 and subtract the result from 7: 7 - (24 ÷ 8) = 7 - 3 = 4. This is not equal to 24.

6. Multiplication and division:
- If we divide 24 by 8 and multiply the result by 2: (24 ÷ 8) × 2 = 3 × 2 = 6. This is not equal to 24.

Therefore, there is no combination of addition, subtraction, multiplication, or division using the numbers 8, 1/4, 2, and 7 that will result in 24.