2(1/2 + 1/3) =

Rationale

1(2/3)

To simplify the given expression, start by adding the two fractions inside the parentheses. Finding a common denominator of 6, you get 5/6. Multiplying this result by 2 gives 10/6, which simplifies to 1(2/3).

B (1(5/6)) YOUR ANSWER

Adding 2/3 and 1/3 gives 3/3, which simplifies to 1. Multiplying 1 by 1 gives the correct answer of 1(2/3), not 1(5/6).

C (2(1/6)) YOUR ANSWER

This choice is incorrect as it does not represent the result of simplifying the expression 2(1/2 + 1/3).

D (2(5/6)) YOUR ANSWER

Multiplying 2 by the sum of 1/2 and 1/3 results in 2(5/6), which is not the correct answer after simplification.

Conclusion

The correct answer is 1(2/3) as the expression simplifies to 1(2/3) when the fractions are added and the result is multiplied by 2. It is essential to follow the order of operations, performing addition before multiplication, to arrive at the accurate solution.

2(1/2 + 1/3) =

1(2/3)

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