Converting a decimal to a mixed number and an improper fr

Write 2.8 as a mixed number and as an improper fraction Write your answers in simplest form.
mixed number:
improper fraction:

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 \(\boxed{\frac{14}{5}}\).