Perform the indicated operation. x/2+y/3-z/4
you LCD is 12
so ....
6x/12 + 4y/12 - 3z/12
= (6x + 4y - 3z)/12
To perform the operation (x/2) + (y/3) - (z/4), first find a common denominator for all three fractions. The common denominator would be the least common multiple (LCM) of 2, 3, and 4, which is 12.
Now, rewrite each fraction with the common denominator:
(x/2) can be rewritten as (6x/12), since 2 times 6 equals 12.
(y/3) can be rewritten as (4y/12), since 3 times 4 equals 12.
(z/4) can be rewritten as (3z/12), since 4 times 3 equals 12.
Now, the expression becomes:
(6x/12) + (4y/12) - (3z/12).
Combine the numerators to simplify:
(6x + 4y - 3z)/12.
Therefore, the simplified form of the expression (x/2) + (y/3) - (z/4) is (6x + 4y - 3z)/12.