The decimal 23.2 = 23\(\tfrac{2}{5}\).
Step 1: Separate the whole part and the decimal part.
\(23.2 = 23 + 0.2\)
Step 2: Change the decimal \(0.2\) to a fraction.
\(0.2 = \dfrac{2}{10}\)
Step 3: Simplify the fraction.
\(\dfrac{2}{10} = \dfrac{1}{5}\)
Step 4: Write as a mixed number.
\(23 + \dfrac{1}{5} = 23\tfrac{1}{5}\)
Check: The statement says \(23\tfrac{2}{5}\).
But \(\tfrac{2}{5} = 0.4\), not \(0.2\).
Conclusion: The statement is false.