Convert 23/2 to a mixed number.
Understand the Problem
The question is asking to convert the improper fraction 23/2 into a mixed number. A mixed number consists of a whole number and a proper fraction.
Answer
$11 \frac{1}{2}$
Answer for screen readers
The mixed number for the improper fraction $\frac{23}{2}$ is $11 \frac{1}{2}$.
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $\frac{23}{2}$ into a mixed number, we start by dividing the numerator (23) by the denominator (2).
$$ 23 \div 2 = 11 \text{ remainder } 1 $$
This tells us that 2 goes into 23 a total of 11 times with a remainder of 1.
- Write the Whole Number Part
The whole number part of the mixed number is the quotient from our division, which is 11.
- Write the Fractional Part
Next, we take the remainder (1) as the numerator of the fraction and keep the same denominator (2). The fractional part will be $\frac{1}{2}$.
- Combine the Parts
Finally, we combine the whole number part and the fractional part to form the mixed number.
Thus, the mixed number is:
$$ 11 \frac{1}{2} $$
The mixed number for the improper fraction $\frac{23}{2}$ is $11 \frac{1}{2}$.
More Information
Converting improper fractions into mixed numbers is a useful skill, especially in cooking or when dealing with measurements. This way, fractions can be expressed in a more easily understandable format.
Tips
- Forgetting to write the remainder as a fraction.
- Miscalculating the division which can lead to an incorrect whole number.
