Final answer:
To simplify (3)/(a) - (4)/(7), rewrite each fraction with a common denominator of 7a, resulting in (21 - 4a)/(7a) which is the simplified expression.
Step-by-step explanation:
To simplify the expression (3)/(a) - (4)/(7), we need to find a common denominator so that we can combine the fractions.
Since 'a' and 7 do not have any common factors, other than 1, the common denominator would be 7a. We need to rewrite each fraction with this common denominator:
- (3)/(a) becomes (3 × 7)/(a × 7) = 21/(7a)
- (4)/(7) becomes (4 × a)/(7 × a) = 4a/(7a)
Now we can subtract the two fractions since they have the same denominator:
(21/(7a)) - (4a/(7a)) = (21 - 4a)/(7a)
This is the simplified expression. Terms cannot be eliminated any further because 21 and 4a are not like terms.
Finally, we check if the answer is reasonable by ensuring the final expression is indeed in its simplest form and, in this case, it is.