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Evaluate the expression for r=-1 Write your answer in simplest form. (5r)/(3(r-2))

User Jnshbr
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To evaluate the given mathematical expression, we will simply substitute the given value of 'r' into the equation and do the arithmetic.

The given expression is: (5r)/(3*(r-2)). We know that r = -1. Now, let's substitute r = -1 into the equation.

Step 1 - Substituting 'r' with -1
So our equation now becomes: (5*(-1))/(3*(-1 - 2))

Step 2 - Simplify the equation
Now, simplify the above equation to: (-5)/(-3)*(-3)

Since negatives cancel out each other, the equation simplifies further to:

Step 3 - Simplifying abiding by order of operation (Multiplication before addition)
That would be: 5/(-9)

Step 4 - Division
And that equals 0.5555555555555556 when you divide 5 by -9.

So, upon substitution of r = -1 into the given expression, the final result is determined to be approximately 0.5555555555555556.

User Audy
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