Final answer:
The rational number -4/7 can be written as -(4/7) with the negative sign in front of the whole fraction, or as 4/(-7) with the negative sign in the denominator, both representing the same value.
Step-by-step explanation:
To write the rational number -4/7 as an equivalent fraction with different placement of the negative sign, we can either place the negative sign in front of the whole fraction or make the denominator negative. Therefore, we get two equivalent expressions:
-4/7 = -1 * (4/7) = -(4/7), where the negative sign is in front of the whole fraction.
-4/7 = 4/(-7), where the negative sign is placed with the denominator producing an equivalent fraction with the same value.
It's important to note that the value of the fraction does not change with the placement of the negative sign, only the form of the expression changes.