Step 1 :The decimal 2.8 can be written as a mixed number by separating the whole number part (2) and the decimal part (0.8).
Step 2 :The decimal part can be converted to a fraction by considering it as \(\frac{8}{10}\), which can be simplified to \(\frac{4}{5}\).
Step 3 :So, the mixed number form of 2.8 is \(2 \frac{4}{5}\).
Step 4 :To convert this mixed number to an improper fraction, we multiply the whole number part by the denominator of the fraction part and add the numerator of the fraction part.
Step 5 :This becomes the new numerator and the denominator remains the same.
Step 6 :So, the improper fraction form of \(2 \frac{4}{5}\) is \(\frac{14}{5}\).
Step 7 :Final Answer: The mixed number form of 2.8 is \(\boxed{2 \frac{4}{5}}\) and the improper fraction form is \(\boxed{\frac{14}{5}}\).