Answer: The result would be 11/6 or 1 5/6 though both are of the same value.
Explanation:
We need to turn the fractions to like fractions.
First, we'll have to find the Least Common Multiple (LCM) of the denominators, namely 2, 3, and 6.
Since
2 = 2^1
3 = 3^1
6 = 2^1 x 3^1
LCM = 2^1 x 3^1
= 6
All denominators should be 6.
1/2 = 3/6
The numerator is 3 because 6 divided by 2 is 3, so the numerator will be 1 x 3, which is 3.
Same goes for 2/3.
2/3 = 4/6
The numerator is 4 because 6 divided by 3 is 2, so the numerator will be 2 x 2, which is 4.
4/6 already has 6 as its denominator.
So,
1/2 + 2/3 + 4/6
= 3/6 + 4/6 + 4/6
Then, add all numerators together, but just let the denominator be.
= (3+4+4)/6
= 11/6 (This is an improper fraction, but still correct)
To make 11/6 into a mixed fraction,
11 divided by 6 = 1 R5
1 will be the whole number and 5 will still be the numerator for the fraction, while 6 will still be the denominator.
So,
11/6
= 1 5/6 (This is a mixed number, also correct)