28/8 as a mixed number
Understand the Problem
The question is asking how to convert the improper fraction 28/8 into a mixed number format. A mixed number combines a whole number and a proper fraction. To solve it, we will divide the numerator by the denominator.
Answer
The mixed number is \( 3 \frac{1}{2} \).
Answer for screen readers
The mixed number for the improper fraction ( \frac{28}{8} ) is ( 3 \frac{1}{2} ).
Steps to Solve
- Divide the Numerator by the Denominator
To begin, we need to divide the numerator (28) by the denominator (8) to find out how many whole times 8 fits into 28.
$$ 28 \div 8 = 3 $$
This quotient (3) represents the whole number part of the mixed number.
- Find the Remainder
Next, we need to find the remainder of this division to represent the fractional part of the mixed number.
$$ 28 - (8 \times 3) = 28 - 24 = 4 $$
The remainder is 4.
- Form the Mixed Number
Finally, we combine the whole number and the proper fraction (the remainder over the original denominator).
So, we have:
$$ 3 \frac{4}{8} $$
To simplify the fractional part, we can rewrite it as:
$$ 3 \frac{1}{2} $$
since $4/8$ simplifies to $1/2$.
The mixed number for the improper fraction ( \frac{28}{8} ) is ( 3 \frac{1}{2} ).
More Information
Converting an improper fraction to a mixed number is a useful skill in fractions. It allows for an easier interpretation of the numbers, particularly in everyday situations like cooking, measurements, and more. The division gives you the whole part, while the remainder tells you what fraction of the whole is left.
Tips
- Forgetting to Simplify the Fraction: After finding the remainder, ensure to simplify the fraction if possible.
- Miscalculating the Whole Number: Double-check the division to confirm the correct whole number part is identified.
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