Which of the following is equivalent to -7/15
15/-7
-7/15
-7/-15
7/15
-7/15
The fraction that is equivalent to -7/15 is -7/-15
To determine which fraction is equivalent to -7/15, we need to find out if any of the fractions have the same value when simplified.
To simplify a fraction, we find the greatest common divisor (GCD) of the numerator and denominator and divide them both by that number. This will give us the fraction in its simplest form.
So, let's simplify each fraction one by one:
1. 15/-7:
To simplify this fraction, we find the GCD of 15 and -7. The GCD of two numbers is the largest positive integer that divides both of them without leaving a remainder.
The GCD of 15 and -7 is 1 (since 7 does not divide evenly into 15). Dividing both the numerator and the denominator by 1 does not change the value of the fraction.
Therefore, 15/-7 is already in its simplest form.
2. -7/15:
To simplify this fraction, we find the GCD of -7 and 15. The GCD of two numbers is the largest positive integer that divides both of them without leaving a remainder.
The GCD of -7 and 15 is 1 (since 7 does not divide evenly into 15). Dividing both the numerator and the denominator by 1 does not change the value of the fraction.
Therefore, -7/15 is already in its simplest form.
3. -7/-15:
To simplify this fraction, we find the GCD of -7 and -15. The GCD of two negative numbers is the same as the GCD of their absolute values. So, we find the GCD of 7 and 15.
The GCD of 7 and 15 is 1 (since 7 does not divide evenly into 15). Dividing both the numerator and the denominator by 1 does not change the value of the fraction.
Therefore, -7/-15 is already in its simplest form.
4. 7/15:
To simplify this fraction, we find the GCD of 7 and 15. The GCD of two numbers is the largest positive integer that divides both of them without leaving a remainder.
The GCD of 7 and 15 is 1 (since 7 does not divide evenly into 15). Dividing both the numerator and the denominator by 1 does not change the value of the fraction.
Therefore, 7/15 is already in its simplest form.
After simplifying all the fractions, we can see that the fraction -7/15 remains the same. Therefore, the fraction -7/15 is equivalent to itself.
So, the correct answer is -7/15.