could someone please help me with math?

Question

Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box. Also, specify any restrictions on the variable.

3/3r+15

Rational expression in lowest terms:
Variable restrictions for the original expression:

r≠

Answer 1

If you factor out 3 from numerator & denominator, and cancel those threes, your result is 1/(x+5)

Answer 2

The expression reads...

3/(3r+15)=(3/3)x(1/(r+5))...factor out "3/3" from numerator and denominator

 

Note that "3/3=1", so we are not changing the value of the original expression, just its appearance.  So...

3/(3r+15)=1/(r+5)............reduced expression

 

To calculate what the variable "r" cannot be (r≠?), set the denominator equal to zero and solve for "r"...

 

r+5=0.....set denominator equal to zero, solve for "r"

 ∴ r=-5...subtract 5, both sides

 

"r" cannot be equal to "-5" (r≠-5).  We would then have zero as a value for the denominator, and division by zero is undefined.