![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
The expression is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=89870f3c3216cd21a9b605fcff6efc4c.png\")
.
All repeating decimals are rational.
\A rational number can be expressed as a ratio ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=312a1c27f22a0fce5dd99e6c1095adc4.png\")
.
Here, ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=52257f1605fb2b790995dd69987af2c6.png\")
and ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=b72515eceac9b0f2954ec68f910b8672.png\")
are integers and is not zero.
Rewrite the expression in the fraction form is
\ ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=4746126a75c242f2896647a2f4defa9b.png\")
Therefore, the expression is rational number.
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The expression is rational number.