How do I convert 67/8 into a mixed number?
Understand the Problem
The question is asking how to convert the improper fraction 67/8 into a mixed number. This involves dividing the numerator by the denominator to find the whole number part and then determining the remainder for the fractional part.
Answer
The mixed number form of \( \frac{67}{8} \) is \( 8 \frac{3}{8} \).
Answer for screen readers
The mixed number form of ( \frac{67}{8} ) is ( 8 \frac{3}{8} ).
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction ( \frac{67}{8} ) into a mixed number, you need to divide the numerator (67) by the denominator (8).
Perform the division:
$$ 67 \div 8 = 8 \text{ R } 3 $$
This tells us that 8 is the whole number part and there is a remainder of 3.
- Determine the Mixed Number
The mixed number consists of the whole number from the first step and the remainder divided by the original denominator.
The whole number part is 8, and the fractional part can be represented as ( \frac{3}{8} ).
So, the mixed number will be:
$$ 8 \frac{3}{8} $$
- Combine the Whole Number and Fraction
Now, you can combine the whole number and the fractional part to write the final mixed number:
The mixed number form of the improper fraction ( \frac{67}{8} ) is:
$$ 8 \frac{3}{8} $$
The mixed number form of ( \frac{67}{8} ) is ( 8 \frac{3}{8} ).
More Information
Converting improper fractions into mixed numbers is a useful skill, especially in cooking or when working with measurements. This process helps to express a quantity in a more understandable way.
Tips
- One common mistake is forgetting to include the remainder when writing the mixed number. Always ensure to express the remainder as a fraction over the original denominator.
- Another mistake is not performing the division correctly, which can lead to an incorrect whole number part.
