Which of the following does not have the same value as the others?
−3/7
−3/−7
3/−7
−3/7
The value of −3/7 and −3/−7 is the same because the negative sign in the numerator and the denominator cancels out, leaving -3/7 in both cases. Similarly, the value of 3/−7 is the same as −3/7 because dividing a positive numerator by a negative denominator gives a negative result. Therefore, the value that does not have the same value as the others is −3/7.
To determine which of the given fractions does not have the same value as the others, let's simplify each fraction and compare them:
-3/7 can be simplified further.
-3/-7 can also be simplified further.
3/-7 can be simplified.
-3/7 cannot be simplified further.
Let's simplify each fraction:
-3/7 = -3/7
-3/-7 = 3/7
3/-7 = -3/7
-3/7 = -3/7
From the simplification, we can see that the fraction -3/-7 = 3/7 does not have the same value as the others.