3 1/2 + 6 1/2 + 10 3/4 = 20 3/4?

Yay!!! You got it!! :-)

yay you got it just make sure to show your work "

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To verify if 3 1/2 + 6 1/2 + 10 3/4 equals 20 3/4, we need to add the fractions together separately and then add the whole numbers separately.

Let's start by adding the fractions:
1/2 + 1/2 + 3/4

To add fractions with the same denominator, we simply add the numerators and keep the same denominator:
1/2 + 1/2 + 3/4 = (1 + 1 + 3)/4 = 5/4

Now let's add the whole numbers:
3 + 6 + 10 = 19

Now we have 5/4 for the fractions and 19 for the whole numbers.

To combine the fractions and the whole numbers, we need to convert the mixed numbers into improper fractions:
3 1/2 = (3 * 2 + 1)/2 = 7/2
6 1/2 = (6 * 2 + 1)/2 = 13/2
10 3/4 = (10 * 4 + 3)/4 = 43/4

Now we can add the improper fractions:
7/2 + 13/2 + 43/4

To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 4. So we need to convert the fractions to have a denominator of 4:
7/2 = (7/2) * (2/2) = 14/4
13/2 = (13/2) * (2/2) = 26/4

Now we can add the fractions with the common denominator:
14/4 + 26/4 + 43/4 = (14 + 26 + 43)/4 = 83/4

The result is 83/4 for the fractions.

Finally, let's combine the fractions and the whole numbers:
83/4 + 19

To add a fraction and a whole number, we need to convert the whole number into a fraction with the same denominator:
19 = 19/1

Now we can add the fraction and the whole number:
83/4 + 19/1 = (83 + 76)/4 = 159/4

Therefore, the sum of 3 1/2 + 6 1/2 + 10 3/4 is equal to 159/4. To simplify the fraction, we can write it as a mixed number:

159 divided by 4 is 39 with a remainder of 3. So the mixed number is 39 3/4.

Therefore, the final answer is 39 3/4, not 20 3/4.