what is 2 divided by 6 + (1/2) to the power of 2 + 1
I read that as:
2/6 + (1/2)^2 + 1
= 1/3 + 1/4 + 1
= 4/12 + 3/12 + 12/12
= 19/12
I forgot to add you have to use PEMDAS parentheses exponents multiplication division addition and subtraction
which I did
To solve this expression, let's break it down step by step:
Step 1: Solve the expression inside the parenthesis.
(1/2) to the power of 2
To raise a fraction to a power, we need to raise both the numerator and the denominator to that power. In this case, the numerator is 1 and the denominator is 2.
So, (1/2) to the power of 2 can be calculated as follows:
(1^2) / (2^2) = 1/4
Step 2: Add the result from step 1 to 6.
2 divided by 6 + 1/4 = 2/6 + 1/4
Step 3: Convert both fractions to have the same denominator.
The least common multiple (LCM) of 6 and 4 is 12.
2/6 can be multiplied by 2/2 to get a fraction with a denominator of 12:
2/6 = (2*2)/(6*2) = 4/12
1/4 doesn't need any conversion as it already has the denominator of 4.
Step 4: Add the fractions.
4/12 + 1/4
Since the denominators are the same, we can directly add the numerators:
4/12 + 1/4 = (4 + 3) / 12 = 7/12
Step 5: Finally, divide 2 by the result from step 4.
2 divided by 7/12 = (2 * 12) / 7 = 24/7
Therefore, the value of the expression 2 divided by 6 + (1/2) to the power of 2 + 1 is 24/7.