Fract Node
Access: Nodes > Math > Fract
The Fract node calculates the fractional part (frac) of an input value by subtracting the floor of the input value from the input value. The Fractnode then outputs the result which is only the decimal place remainder of the input.
Input  Output 
5.385, 0.164, 3.065, 1.0  0.385, 0.164, 0.065, 0.0 
267.19, 105.096, 25.483, 1.0  0.19, 0.096, 0.483, 0.0 
3.0, 7.0, 4.0, 1.0  0.0, 0.0, 0.0, 0.0 
Note: For more information on the frac calculation, see here for an explanation provided by MathWorks. For information about the floor calculation, see Floor node.
The Fract node can be used in multiple ways, one workflow is to use the node to determine where a certain UV coordinate is from within a patch. Using a Fract node after a UV will output just its position within the patch.
Another workflow is to use the Fract node to repeat a part of your texture that's looked up by UV coordinates across each patch. For example, using a Fract node before a Gradient node to repeat the gradient across each patch.
Fract Node Inputs
Input 
The input value of which the fractional part is calculated.

Fract Node Outputs
Output 
The decimal remainder of the number only.

Fract Node Properties
No node properties.