Question

What is the value of
`(8/3)+(-3)^2-(1/2)`? (Write your answer as a fraction in reduced form).

Answer 1

Exact Form 67/6

Mixed Number Form 11 1/6

Explanation:

Removed Parenthesis 8/3+(-3)^2-1/2

Group like terms 8/3 - 1/2 + (-3)^2

Apply the exponent rule 8/3 - 1/2 + 3^2

Find the LCM (least common multiple) of 3 & 2; 6

Adjust Fraction based on LCM 8/3 = 8*2/3*2 = 16/6 1/2 = 1*3/2*3 = 3/6

16/6 - 3/6

since denominators are equal combine the fraction
`(16-3)/(6)`

Subtract the numbers 3^2 + 13/6

3^2 = 9 = 9 +13/6

9*6/6 + 13/6

`(9*6 + 13)/(6)` = 67/6