### Home > CCA2 > Chapter 12 > Lesson 12.1.3 > Problem12-56

12-56.

Rewrite each sum below as a single expression. Homework Help ✎

1. $\frac { 1 } { 2 }+\frac { 1 } { 3 }$

Find a common denominator.

1. $\frac { 3 } { 2 x } + \frac { 4 } { x ^ { 2 } }$

What do you need to multiply each term by to have a common denominator? It's similar to part (a).

$\frac{3x + 8}{2x^2}$

1. $\frac { x } { x + 1 } + \frac { 3 } { x - 1 }$

Use the same method as part (b).

1. $\frac { \operatorname { sin } \theta } { \operatorname { cos } \theta } + \frac { 1 } { \operatorname { sin } \theta }$

$\frac{\sin^2\theta+\cos\theta}{\sin\theta\cos\theta}$