12/9 as a mixed number
Understand the Problem
The question is asking how to convert the fraction 12/9 into a mixed number. To do this, we will divide the numerator (12) by the denominator (9) to find the whole number part and the remainder, which will then be used to form the fractional part of the mixed number.
Answer
The mixed number for the fraction \( \frac{12}{9} \) is \( 1 \frac{1}{3} \).
Answer for screen readers
The mixed number for the fraction ( \frac{12}{9} ) is ( 1 \frac{1}{3} ).
Steps to Solve
- Divide the numerator by the denominator
We start by dividing the numerator (12) by the denominator (9) to find the whole number part of the mixed number:
$$ 12 \div 9 = 1 \quad \text{(whole number)} $$
The whole number part is 1.
- Find the remainder
Next, we calculate the remainder of this division to help us form the fractional part of the mixed number. We use the formula:
$$ \text{Remainder} = \text{Numerator} - (\text{Whole Number} \times \text{Denominator}) $$
Applying this, we get:
$$ \text{Remainder} = 12 - (1 \times 9) = 12 - 9 = 3 $$
- Form the fractional part
Now, we can express the remainder over the original denominator to form the fractional part:
$$ \frac{\text{Remainder}}{\text{Denominator}} = \frac{3}{9} $$
- Simplify the fraction
We simplify the fraction $ \frac{3}{9} $:
$$ \frac{3}{9} = \frac{1}{3} $$
- Combine the whole number and the fractional part
Finally, we combine the whole number part with the simplified fractional part to form the mixed number:
$$ 1 \frac{1}{3} $$
The mixed number for the fraction ( \frac{12}{9} ) is ( 1 \frac{1}{3} ).
More Information
When converting improper fractions to mixed numbers, it's useful to remember that the whole number represents how many entire sets fit into the original fraction, while the remainder and the original denominator give you the fraction part of your mixed number. Mixed numbers are often easier to visualize in practical situations, like cooking or measuring.
Tips
- Not finding the remainder correctly. Ensure you subtract the product of the whole number and the denominator from the numerator.
- Forgetting to simplify the fractional part before combining it with the whole number.