Convert 23/3 to a mixed number.
Understand the Problem
The question is asking how to convert the improper fraction 23/3 into a mixed number. This involves dividing the numerator by the denominator to determine the whole number part and then expressing the remainder as a fraction.
Answer
The mixed number form of \( \frac{23}{3} \) is \( 7 \frac{2}{3} \).
Answer for screen readers
The mixed number form of ( \frac{23}{3} ) is ( 7 \frac{2}{3} ).
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction ( \frac{23}{3} ) into a mixed number, first divide the numerator (23) by the denominator (3):
$$ 23 \div 3 = 7 \text{ R } 2 $$
This means that 3 goes into 23 a total of 7 times, with a remainder of 2.
- Identify the Whole Number Part
The whole number part of the mixed number is the quotient from the division:
$$ \text{Whole number} = 7 $$
- Write the Remainder as a Fraction
Next, express the remainder as a fraction by placing it over the original denominator:
$$ \text{Fraction part} = \frac{2}{3} $$
- Combine the Whole Number and Fraction
Finally, combine the whole number and the fraction to express the improper fraction as a mixed number:
$$ \text{Mixed number} = 7 \frac{2}{3} $$
The mixed number form of ( \frac{23}{3} ) is ( 7 \frac{2}{3} ).
More Information
When converting improper fractions to mixed numbers, the whole number represents how many whole parts fit into the fraction, while the fractional part represents what is left over. This process helps in better understanding and visualizing the value of the fraction.
Tips
- Forgetting to include the remainder: It's important to remember to express the remainder as a fraction; otherwise, the mixed number won't be correct.
- Incorrect division: Make sure to perform the division correctly. Double-check your calculations if you're unsure.
