How do you evaluate #1/3+1/2+2/3#?
As there is no common factor between 2 & 3, 2*3 = 6 is the L C M.
See a solution process below:
To add fractions they must be over a common denominator.
To change the denominator without changing the value of the fraction we can multiply each fraction by a form of
We can now rewrite the problem and add the fractions as:
We can reduce the fraction as:
If necessary, we can convert this improper fraction into a mixed number:
Recall that to add fractions, we must have like denominators. We can start off by adding the fractions with the denominator of
A more systematic way would be to get a common denominator of
To get a denominator of
Adding the numerators, we get
Hope this helps!