28/3 as a mixed number
Understand the Problem
The question is asking how to convert the improper fraction 28/3 into a mixed number. To do this, we will divide the numerator (28) by the denominator (3) and express it in terms of a whole number and a proper fraction.
Answer
$ 9 \frac{1}{3} $
Answer for screen readers
$ 9 \frac{1}{3} $
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $ \frac{28}{3} $ into a mixed number, we start by dividing the numerator (28) by the denominator (3).
$$ 28 \div 3 = 9 \text{ R }1 $$
This means that 3 goes into 28 nine times with a remainder of 1.
- Create the Mixed Number
Next, we express the result from the division as a mixed number. The whole number part is the quotient (9), and the proper fraction part is formed using the remainder (1) over the original denominator (3).
The mixed number can therefore be written as:
$$ 9 \frac{1}{3} $$
- Final Representation
We combine the whole number and the proper fraction to finalize the mixed number.
Thus, $ \frac{28}{3} $ in mixed number form is $ 9 \frac{1}{3} $.
$ 9 \frac{1}{3} $
More Information
A mixed number consists of a whole part and a fractional part. In this case, $ 9 \frac{1}{3} $ indicates that 28 is made up of 9 whole parts of 3 and an additional $\frac{1}{3}$.
Tips
- A common mistake is to forget to use the remainder when expressing the proper fraction part of the mixed number. Always ensure to write the remainder over the original denominator.
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