Simplify 23/2
Understand the Problem
The question is asking to simplify the fraction 23/2, which means finding its simplest form or converting it to a mixed number if possible.
Answer
$11 \frac{1}{2}$
Answer for screen readers
The simplified form of the fraction $\frac{23}{2}$ as a mixed number is $11 \frac{1}{2}$.
Steps to Solve
- Identify the whole number part
To convert the improper fraction $\frac{23}{2}$ into a mixed number, first divide the numerator (23) by the denominator (2).
Doing the division: $$ 23 \div 2 = 11 \quad \text{(whole number part)} $$ which gives us 11.
- Find the remainder
Next, calculate the remainder of the division. The remainder can be found by multiplying the whole number part (11) by the denominator (2) and subtracting from the numerator (23).
$$ 23 - (11 \times 2) = 23 - 22 = 1 \quad \text{(remainder)} $$
- Write the mixed number
Now that we have the whole number part and the remainder, we can write the mixed number. The whole number part is 11 and the fractional part will be the remainder divided by the denominator.
So, the mixed number is: $$ 11 \frac{1}{2} $$
The simplified form of the fraction $\frac{23}{2}$ as a mixed number is $11 \frac{1}{2}$.
More Information
Converting improper fractions to mixed numbers is a common topic in elementary math. Understanding how to perform division and find remainders is essential for this process.
Tips
- Forgetting to identify the whole number part from the division.
- Miscalculating the remainder by not subtracting correctly.
- Not checking if the fraction part can be simplified further.
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