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What expression is equivalent to 3/4a + 2/3 - 1/2a - 1/3 + 1/2a

1 Answer

4 votes

Answer:

(3/4)a + 1/3

Explanation:

3/4a + 2/3 - 1/2a - 1/3 + 1/2a

(3/4)a + (2/3) - (1/2)a - (1/3) + (1/2)a [added () to clarify. Is "3/4a" (3/4)a or 3/(4a)?

(3/4)a + (2/3) - (1/2)a - (1/3) + (1/2)a

(3/4)a - (1/2)a - (1/3) + (1/2)a + (2/3)

(3/4)a - (1/2)a + (1/2)a - (1/3) + (2/3) [Rearrange: like terms together]

a[(3/4) - (1/2) + (1/2)] - (1/3) + (2/3) [bring out the "a"]

a[(3/4)] + (1/3) [simplify]

(3/4)a + 1/3

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