Answer:
6
Step-by-step explanation:
The overbar means the digit repeats indefinitely. The repeating decimal 0.333... is equivalent to 1/3, so this is the simple addition ...
3 2/3 + 2 1/3 = 5 3/3 = 6
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<em>Comment on the repeating decimal</em>
1/3 = 0.3333... repeating is one of the first decimal equivalents you learn.
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If you're into repeating decimals. you may have learned how to convert them to fractions:
x = 0.3333... repeating . . . . . . . give a name to the value
10x = 3.3333... repeating . . . . . multiply by 10^p where p is the number of digits in the repeating pattern
10x - x = 3.3333... - 0.3333... = 3 . . . . . subtract: the repeating portions cancel
9x = 3 . . . . . . . . . .simplify
x = 3/9 = 1/3 . . . . .divide by the x-coefficient; simplify
