SOLUTION: what is (1/3)-root 3 over 3

Question 270437: what is (1/3)-root 3 over 3
Answer by persian52(161) (Show Source): You can put this solution on YOUR website!
((1)/(3))-~((3)/(3))
Reduce the expression (3)/(3) by removing a factor of 3 from the numerator and denominator.
((1)/(3))-~(1)
Pull all perfect square roots out from under the radical. In this case, remove the 1 because it is a perfect square.
((1)/(3))+(-1*1)
Remove the parentheses that are not needed from the expression.
(1)/(3)-1*1
Multiply -1 by 1 to get -1.
(1)/(3)-1
To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is 3. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
-1*(3)/(3)+(1)/(3)
Complete the multiplication to produce a denominator of 3 in each expression.
-(3)/(3)+(1)/(3)
Combine the numerators of all fractions that have common denominators.
(-3+1)/(3)
Add 1 to -3 to get -2.
(-2)/(3)
Move the minus sign from the numerator to the front of the expression.
Answer: -(2)/(3)
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