Decimal expansion of (1/2 + 1/3) is -

To find the decimal expansion of (1/2 + 1/3), we follow the rules for adding fractions.

Step-by-Step Solution
Find a common denominator: To add 1/2 and 1/3, the least common multiple of the denominators (2 and 3) is 6.

Convert the fractions:

1/2 = 3/6

1/3 = 2/6

Add the fractions:

3/6 + 2/6 = 5/6

Perform the division: Convert the fraction 5/6 into a decimal by dividing 5 by 6.

5 ÷ 6 = 0.8333...

Since the digit 3 repeats indefinitely, the decimal expansion is expressed as 0.83 with a bar over the 3 (0.83̅).