The rational number equivalent to the given expression is 50 5/9.
The given expression is [tex]69\frac{2}{9} -31\frac{1}{9} -(-12\frac{4}{9} )[/tex].
To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator.
Now, [tex]69\frac{2}{9} -31\frac{1}{9} +12\frac{4}{9}[/tex]
[tex]=(69-31+12)(\frac{2}{9}-\frac{1}{9}+\frac{4}{9})[/tex]
=50 5/9
Therefore, the rational number equivalent to the given expression is 50 5/9.
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