Calculate the following and write your answer in the simplest form. Please show all your calculation. 4 2/6-1 2/12+2 1/4
Change these to equivalent fractions with a common denominator.
Then add. What do you get?
I'm lost really help me out!
Do you know how to find the common denominator?
If not study this site.
https://www.khanacademy.org/math/arithmetic/fractions/Equivalent_fractions/v/finding-common-denominators
To calculate the expression:
4 2/6 - 1 2/12 + 2 1/4
We need to perform the operations in the following order: addition and subtraction, and then simplify the result to its simplest form.
Step 1: Convert mixed numbers into improper fractions
4 2/6 = 4 + 2/6 = 24/6 + 2/6 = 26/6
1 2/12 = 1 + 2/12 = 12/12 + 2/12 = 14/12
2 1/4 = 2 + 1/4 = 8/4 + 1/4 = 9/4
Step 2: Perform the addition and subtraction
26/6 - 14/12 + 9/4
To be able to subtract the fractions with different denominators, we need to find a common denominator for all three fractions.
The common denominator for 6, 12, and 4 is 12.
26/6 = (26/6) * (2/2) = 52/12
14/12 = 14/12
9/4 = (9/4) * (3/3) = 27/12
Now we can perform the addition and subtraction:
52/12 - 14/12 + 27/12 = (52 - 14 + 27) / 12 = 65/12
Step 3: Simplify the result to its simplest form
To simplify, we can divide the numerator and denominator by their greatest common divisor (GCD).
The GCD of 65 and 12 is 1.
Dividing both the numerator and denominator by 1, we get:
65/12 (simplified form)
Therefore, the value of the expression 4 2/6 - 1 2/12 + 2 1/4, written in its simplest form, is 65/12.