Question

What is the total of 49 1/4+3-33/8​

Answer 1

The sum of 49 1/4, 3, and -33/8 is found by converting all numbers to a common denominator and then adding them together, resulting in a total of 457/8.

Step-by-step explanation:

The question asks us to calculate the total of 49 1/4, 3, and -33/8. To find the sum, we need to add all three numbers, being careful to properly handle the mixed fraction (49 1/4) and the negative fraction (-33/8).

1. First, convert the mixed number 49 1/4 to an improper fraction. This is (49×4) + 1 which equals 197/4.
2. Next, since 3 is a whole number, it can be written as 3/1 to make it easier to add to fractions.
3. Add the improper fraction 197/4 to the whole number 3/1 giving us a result of 197/4 + 12/1 or 197/4 + 48/4, which equals 245/4.
4. Finally, add the negative fraction -33/8 to the result from the previous step. We need a common denominator, which is 8 in this case, so we convert 245/4 into 490/8 and then add them to get (490 - 33) / 8 which equals 457/8.

Therefore, the total of 49 1/4 + 3 - 33/8 is 457/8.

Answer 2

The total of 49 1/4 + 3 3/8 is 52 5/8.

To add mixed numbers, you first need to make sure the fractions have the same denominator, or bottom number. You can't add fractions unless the denominators are the same.

To change 1/4 and 5/8 so that they have a common denominator, you can simply multiply the numerator and denominator of 1/4 by 2:

2 x 1 equals 2, and 2 x 4 equals 8, so 1/4 is equal to 2/8.
Now that both denominators are the same, you can add the fractions:

2/8 + 3/8 = 5/8
Now you need to add the whole numbers:

49 + 3 = 52
So, 49 1/4 + 3 3/8 equals 52 5/8.