SIMPLIFY AND SHOW WORK
12-1/9-4/3+(1/2)^2
12-1/9-4/3+(1/2)^2
12 - 1/9 - 12/9 + 1/4
12 - 13/9 + 1/4
12 - 52/36 + 9/36
12 - 43/36
10 72/36 - 43/36 = 10 29/36
Check my math
-11=7+3c
To simplify the expression 12 - 1/9 - 4/3 + (1/2)^2, follow the order of operations (PEMDAS/BODMAS) to simplify each part of the expression step by step. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Step 1: Simplify the exponents
(1/2)^2 = 1/4
Now the expression becomes:
12 - 1/9 - 4/3 + 1/4
Step 2: Simplify the fractions (if possible)
Notice that the fractions have different denominators. To perform operations with fractions, we need a common denominator. The least common multiple (LCM) of 9, 3, and 4 is 36. We will convert all the fractions to have a denominator of 36.
12/1 (multiply by 36/36) = 432/36
1/9 (multiply by 4/4) = 4/36
4/3 (multiply by 12/12) = 48/36
1/4 (multiply by 9/9) = 9/36
Now the expression becomes:
432/36 - 4/36 - 48/36 + 9/36
Step 3: Combine like terms (subtract/add fractions with the same denominator)
432/36 - 4/36 - 48/36 + 9/36 = (432 - 4 - 48 + 9)/36 = 389/36
Therefore, the simplified form of the expression 12 - 1/9 - 4/3 + (1/2)^2 is 389/36.