Problem

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:

Answer

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Answer

Final Answer: The mixed number form of 2.8 is \(\boxed{2 \frac{4}{5}}\) and the improper fraction form is \(\boxed{\frac{14}{5}}\).

Steps

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

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