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3 1/3+(-2 1/4)+1 5/6=???

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Answer:4 7/12.

Step-by-step explanation: To solve the expression 3 1/3 + (-2 1/4) + 1 5/6, we need to add the fractions with a common denominator.

First, let's convert all the mixed numbers to improper fractions:

3 1/3 = 10/3

-2 1/4 = -9/4

1 5/6 = 13/6

Next, we can add the improper fractions:

10/3 + (-9/4) + 13/6 = 10/3 + -9/4 + 26/6

To add the fractions, we need to find a common denominator. In this case, the least common multiple of the denominators (3, 4, and 6) is 12.

So, we need to convert each fraction to an equivalent fraction with a denominator of 12:

10/3 = 40/12

-9/4 = -27/12

26/6 = 52/12

Finally, we can add the fractions:

40/12 + (-27/12) + 52/12 = 55/12

So, the answer is 55/12, which can be simplified to 4 7/12.

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