Which fraction is equivalent to negative 3 over 7 ? (5 points)
negative 7 over 3
3 over negative 7
3 over 7
7 over 3
negative 7 over 3
To find an equivalent fraction to negative 3 over 7, we need to multiply both the numerator and denominator by the same nonzero integer. In this case, we can multiply both by -1 to maintain the negative sign.
Thus, an equivalent fraction to negative 3 over 7 is negative 3 over 7 multiplied by -1 over -1, which simplifies to 3 over -7.
Therefore, the fraction that is equivalent to negative 3 over 7 is 3 over -7.
To determine which fraction is equivalent to -3/7, we need to find a fraction that represents the same value when simplified. Here's how you can do it:
Step 1: Start with the given fraction, -3/7.
Step 2: To find an equivalent fraction, we need to multiply both the numerator and denominator by the same number.
Let's try multiplying by -1 to change the sign of both the numerator and denominator:
(-3/7) * (-1) / (-1)
= 3/(-7)
Therefore, the equivalent fraction is 3/(-7).
Now, let's check the other options to see if any of them are equal to -3/7:
1. negative 7/3: This fraction does not represent the same value as -3/7.
2. 3/ negative 7: This fraction does not represent the same value as -3/7.
3. 3/7: This fraction does not represent the same value as -3/7.
4. 7/3: This fraction does not represent the same value as -3/7.
So, the equivalent fraction to -3/7 is 3/(-7).