BUILT-IN MATHEMATICA SYMBOL

# Together

Together[expr]
puts terms in a sum over a common denominator, and cancels factors in the result.

## Details and OptionsDetails and Options

• Together makes a sum of terms into a single rational function.
• The denominator of the result of Together is typically the lowest common multiple of the denominators of each of the terms in the sum.
• Together avoids expanding out denominators unless it is necessary.
• Together is effectively the inverse of Apart.
• Together[expr, Modulus->p] generates a result modulo p.
• Together[expr, Extension->Automatic] allows operations to be performed on algebraic numbers in expr.
• Together[expr, Trig->True] treats trigonometric functions as rational functions of exponentials, and manipulates them accordingly.
• Together automatically threads over lists, as well as equations, inequalities and logic functions.

## ExamplesExamplesopen allclose all

### Basic Examples (2)Basic Examples (2)

Combine terms over a common denominator:

 Out[1]=

Cancel common factors between the numerator and the denominator:

 Out[1]=