To convert the improper fraction 8/3 into a mixed number, you will follow these steps:
- Divide the numerator by the denominator: Take the numerator (8) and divide it by the denominator (3).
- Calculate: When you divide 8 by 3, you get 2 with a remainder. Specifically,
8 ÷ 3 = 2
and a remainder of2
. - Identify your whole number: The quotient from the division (which is 2) becomes the whole number in your mixed number.
- Find the new numerator: The remainder (which is 2) becomes the new numerator, while the denominator remains the same (which is 3).
- Combine: You then write the mixed number by combining the whole number and the new fraction. So, 8/3 as a mixed number is 2 2/3.
In conclusion, the improper fraction 8/3 can be expressed as the mixed number 2 2/3.