Problem 67
Question
Add or subtract as indicated. Simplify the result, if possible. $$3-\frac{3 y}{y+1}$$
Step-by-Step Solution
Verified Answer
The simplified form of the expression is \(\frac{3}{y+1}\).
1Step 1: Create common denominators
In order to add or subtract fractions, the fractions need to have the same, or a common, denominator. In this case, consider \(3\) as \(\frac{3(y+1)}{y+1}\) so that the fraction and the whole number have the same denominator. This transforms the expression into \(\frac{3(y+1)-3y}{y+1}\).
2Step 2: Simplify the numerator
Simplify the numerator by distributing the \(3\) in the \(3*(y+1)\) expression and then subtract \(3y\). This gives you \(\frac{3y+3-3y}{y+1}\).
3Step 3: Simplify the simplified fraction
Eliminate any terms that cancel out to simplify the fraction further. This simplifies the above expression to \(\frac{3}{y+1}\).
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