Chapter 6.6, Problem 12OE

To determine

Simplify: the given expression as fraction.

Answer to Problem 12OE

The simplified form of $\frac{b}{b+1}+1$ is $\frac{2b+1}{b+1}$.

Explanation of Solution

Given information:

The expression $\frac{b}{b+1}+1$.

Formula used:

Least common denominator: It is the smallest multiple of denominator of set of fractions.

  $\frac{b}{b+1}+1$

Recall that Least common denominator is the smallest multiple of denominator of set of fractions.

  $=\frac{b}{b+1}+\frac{1}{1}$

Least common denominator for $\frac{b}{b+1},\frac{1}{1}$ is $b+1$ . So,

  $\begin{array}{l}=\frac{b+1\left(b+1\right)}{b+1}\\ =\frac{b+b+1}{b+1}\\ =\boxed{\frac{2b+1}{b+1}}\end{array}$

The simplified form of $\frac{b}{b+1}+1$ is $\frac{2b+1}{b+1}$.