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Which of the following mathematical expressions simplify to 1/2 using addition, subtraction, multiplication, and division?

A) 3 + 1/2
B) 2 - 3/2
C) 1/4 * 2
D) 4 ÷ 8

1 Answer

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Final answer:

Options B) 2 - 3/2, C) 1/4 * 2, and D) 4 ÷ 8 each simplify to 1/2 when using addition, subtraction, multiplication, and division.

Step-by-step explanation:

To find which mathematical expression simplifies to 1/2, we will evaluate each option using addition, subtraction, multiplication, and division:

  • A) 3 + 1/2 would equal to 3.5, which is not equal to 1/2.
  • B) 2 - 3/2 is equivalent to 2 - 1.5, which simplifies to 0.5 or 1/2.
  • C) 1/4 * 2 is the same as 1/4 times 2/1, which simplifies to 1/2.
  • D) 4 ÷ 8 is the same as 4/8, which reduces to 1/2.

Based on this evaluation, options B, C, and D simplify to 1/2.

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