simplify 9 3/2
Understand the Problem
The question is asking to simplify the expression 9 3/2, which involves converting the mixed number into an improper fraction and simplifying it if possible.
Answer
The simplified form of the expression is \( \frac{21}{2} \).
Answer for screen readers
The simplified form of the expression (9 \frac{3}{2}) is ( \frac{21}{2} ).
Steps to Solve
- Convert the mixed number to an improper fraction
To convert the mixed number (9 \frac{3}{2}) into an improper fraction, we multiply the whole number by the denominator and add the numerator.
So, we calculate:
$$ 9 \times 2 + 3 = 18 + 3 = 21 $$
This gives us the improper fraction:
$$ \frac{21}{2} $$
- Write the improper fraction
Now we have the mixed number in the improper fraction form, so we write it down as:
$$ \frac{21}{2} $$
- Check if the fraction can be simplified
Next, we check if the fraction ( \frac{21}{2} ) can be simplified. Since the numerator (21) and the denominator (2) have no common factors (other than 1), the fraction is already in its simplest form.
The simplified form of the expression (9 \frac{3}{2}) is ( \frac{21}{2} ).
More Information
The improper fraction ( \frac{21}{2} ) represents the same value as the mixed number (9 \frac{3}{2}). This can also be converted back to a decimal, which is (10.5).
Tips
- Forgetting to convert the whole number correctly when changing from mixed to improper fraction. Always ensure you multiply the whole number by the denominator before adding the numerator.
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