Mathematics ACT Aspire Test 2025 – 400 Free Practice Questions to Pass the Exam

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Question: 1 / 400

What would be the outcome of 3/4 divided by -1/2?

-3/8

3/8

-6/4

3/2

To find the outcome of \( \frac{3}{4} \div -\frac{1}{2} \), we can rewrite the division of fractions as multiplication by the reciprocal. So the problem becomes:

\[

\frac{3}{4} \times -\frac{2}{1}

\]

When multiplying these fractions, we multiply the numerators together and the denominators together:

\[

\frac{3 \times -2}{4 \times 1} = \frac{-6}{4}

\]

This fraction can be simplified. Both 6 and 4 can be divided by 2:

\[

\frac{-6}{4} = \frac{-3}{2}

\]

The correct outcome is \( \frac{-3}{2} \), which means that when dividing by negative fractions, the overall sign of the result must also be taken into account, resulting in a negative answer. Thus, \( -\frac{3}{2} \) reflects this.

Therefore, the accurate answer to the question is not option D. The proper interpretation of the arithmetic leads us to conclude that \( -\frac{3}{2} \) correctly summarizes the process of dividing \( \frac{3

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