(1/2)^2 +1/2 * 2 2/3 simplify
Well, you're answer=1 7/12 I don't know if that's how much you wanted it simplified or not :)
what is the answer as a integer
An integer is a whole number. 1 7/12 = 2
To simplify the expression (1/2)^2 +1/2 * 2 2/3, we can follow the order of operations and simplify each part individually.
Step 1: Simplify the exponent
(1/2)^2 means raising 1/2 to the power of 2. This can be calculated as (1/2)^2 = (1/2) * (1/2) = 1/4.
The expression now becomes:
1/4 + 1/2 * 2 2/3
Step 2: Simplify the multiplication
1/2 * 2 2/3 means multiplying 1/2 by 2 2/3. To multiply mixed numbers, we turn them into improper fractions.
2 2/3 can be written as an improper fraction:
2 * 3 = 6
6 + 2 = 8
So, 2 2/3 is equal to 8/3.
Now we can multiply 1/2 by 8/3:
1/2 * 8/3 = (1 * 8) / (2 * 3) = 8/6 = 4/3.
The expression now becomes:
1/4 + 4/3
Step 3: Find a common denominator and add the fractions
To add the fractions, we need a common denominator. In this case, the least common multiple (LCM) of 4 and 3 is 12.
Converting the fractions:
1/4 = 3/12 (multiply the numerator and denominator by 3)
4/3 = 16/12 (multiply the numerator and denominator by 4)
Now the expression becomes:
3/12 + 16/12 = (3 + 16)/12 = 19/12.
Therefore, the simplified expression is 19/12.