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

  1. 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.

  2. Finding the Remainder
    Next, calculate the remainder from the division:
    $$ 23 - (5 \times 4) = 23 - 20 = 3 $$
    So the remainder is 3.

  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:
    $$ \text{Mixed Number} = 4 \frac{3}{5} $$

  4. 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.
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