## Algebra Rule 7

#### Reversing a subtraction in both the numerator and the denominator of a fraction leaves the fraction's value unchanged

**Description:**

Reversing the order of a subtraction operation creates the inverse result: **5-3 = 2; 3-5 = -2**. A consequence of this is that for a fraction in which both the numerator and denominator contain a subtraction (ie, they each contain a negative term), if both those subtractions are reversed, the value of the fraction remains the same. This is because *if the sign of both the numerator and denominator of a fraction is changed, the fraction's value remains the same*.