Final answer:
Option D, which states that 1/2 divided by 4 equals 1/2 x 4/1, is not true. The correct reciprocal of 4 in the context of division is 1/4, not 4/1. Hence, 1/2 divided by 4 should be 1/2 x 1/4.
Step-by-step explanation:
The question asks which of the following statements is not true regarding operations with fractions and multiplication/division. Let's analyze each option step by step:
- A. 4 x 1/2 = 4/1 x 1/2 is true because 4 can be thought of as 4/1, so you are essentially multiplying fractions which gives the same result of 2.
- B. 1/2 divided by 4 is the same as 1/2 x 1/4, which is true because dividing by a number is the same as multiplying by its reciprocal.
- C. 4 divided by 1/2 is equivalent to 4 x 2 since dividing by a fraction is the same as multiplying by its reciprocal, so this statement is also true and gives a result of 8.
- D. 1/2 divided by 4 = 1/2 x 4/1 is not true because the reciprocal of 4 is 1/4, not 4/1. The true statement should be 1/2 divided by 4 = 1/2 x 1/4.
Therefore, option D is the statement that is not true.