Convert 23/5 to a mixed number.
Understand the Problem
The question is asking to convert the improper fraction 23/5 into a mixed number, which involves dividing the numerator by the denominator to find the whole number part and identifying the remainder for the fractional part.
Answer
$ 4 \frac{3}{5} $
Answer for screen readers
$ 4 \frac{3}{5} $
Steps to Solve
-
Dividing the Numerator by the Denominator
First, divide the numerator (23) by the denominator (5).
$$ 23 \div 5 = 4 $$
This means that there are 4 whole parts. -
Finding the Remainder
Next, calculate the remainder from the division:
$$ 23 - (5 \times 4) = 23 - 20 = 3 $$
So the remainder is 3. -
Constructing the Mixed Number
Now that we have the whole part (4) and the fractional part (the remainder over the original denominator), we combine these:
$$ \text{Mixed Number} = 4 \frac{3}{5} $$ -
Final Result
Therefore, the improper fraction $ \frac{23}{5} $ can be written as the mixed number $ 4 \frac{3}{5} $.
$ 4 \frac{3}{5} $
More Information
Converting improper fractions to mixed numbers helps make them easier to understand and visualize. A mixed number is a combination of a whole number and a proper fraction, which can better represent values in real-world contexts like measurements.
Tips
- Forgetting to calculate the remainder could lead to an incorrect mixed number.
- Not pairing the whole number and the fractional part correctly could cause confusion in writing the final answer.
