26/9 as a mixed number
Understand the Problem
The question is asking how to express the fraction 26/9 as a mixed number. To do this, we will divide the numerator by the denominator to determine the whole number part and the remaining fraction.
Answer
$ 2 \frac{8}{9} $
Answer for screen readers
The mixed number form of the fraction $ \frac{26}{9} $ is $ 2 \frac{8}{9} $.
Steps to Solve
- Divide the numerator by the denominator
To express the fraction $ \frac{26}{9} $ as a mixed number, we first divide 26 by 9 to find the whole number part. Performing the division:
$$ 26 \div 9 = 2 \quad \text{(with a remainder)} $$
- Find the remainder
Next, we find the remainder of the division. Since $ 2 \times 9 = 18 $, we subtract this from 26:
$$ 26 - 18 = 8 $$
Thus, the remainder is 8.
- Construct the mixed number
Now we can construct the mixed number. The whole number part is 2 (from step 1), and the remaining fraction is formed using the remainder over the original denominator:
$$ 2 \frac{8}{9} $$
So, the mixed number representation of $ \frac{26}{9} $ is $ 2 \frac{8}{9} $.
The mixed number form of the fraction $ \frac{26}{9} $ is $ 2 \frac{8}{9} $.
More Information
Converting improper fractions to mixed numbers helps in understanding the value better, especially for visualization in real-life scenarios like measuring and dividing objects. Mixed numbers are often easier to work with in everyday contexts.
Tips
- Forgetting to use the remainder when constructing the fraction part of the mixed number. Always ensure you perform subtraction correctly to find the remainder.
