/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 67 Add or subtract as indicated. Si... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Add or subtract as indicated. Simplify the result, if possible. $$3-\frac{3 y}{y+1}$$

Short Answer

Expert verified
The simplified form of the expression is \(\frac{3}{y+1}\).

Step by step solution

01

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 \(\frac{3(y+1)-3y}{y+1}\).
02

Simplify the numerator

Simplify the numerator by distributing the \(3\) in the \(3*(y+1)\) expression and then subtract \(3y\). This gives you \(\frac{3y+3-3y}{y+1}\).
03

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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