Final answer:
To simplify the expression 3/y - 4/7, find the common denominator (7y), convert both fractions, and subtract the numerators to get (21 - 4y) / 7y as the simplified answer.
Step-by-step explanation:
To simplify the expression 3/y - 4/7, we need a common denominator to combine the two fractions. The common denominator for y and 7 is 7y. We convert each fraction to have this common denominator:
- Multiply the first fraction (3/y) by 7/7 to get 21/7y
- Multiply the second fraction (4/7) by y/y to get 4y/7y
Now, we have 21/7y - 4y/7y. With the same denominator, we can subtract the numerators:
21 - 4y over the common denominator 7y gives us (21 - 4y) / 7y.
This is the simplified form of the expression as the numerator can no longer be factored to cancel out any terms with the denominator. So, the final answer is (21 - 4y) / 7y.