Final answer:
A number can be written as a mixed number if it has a whole number part and a fractional part. To determine if a number can be written as a mixed number, check if it has a decimal part, convert the decimal part into a fraction, and simplify the fraction if possible.
Step-by-step explanation:
In mathematics, a number can be written as a mixed number if it has a whole number part and a fractional part. A mixed number is written in the form of a whole number followed by a proper fraction. For example, 3 1/2 is a mixed number where 3 is the whole number part and 1/2 is the fraction part.
To determine if a number can be written as a mixed number, check if the number has a decimal part. If it does, convert the decimal part into a fraction and see if the fraction can be simplified or reduced. If the fraction can be simplified or reduced, then the number can be written as a mixed number.
For example, if we have the number 4.75, the decimal part is .75. Converting .75 into a fraction gives us 75/100. Simplifying this fraction gives us 3/4. Therefore, 4.75 can be written as the mixed number 4 3/4.