What is 13/8 as a mixed number?
Understand the Problem
The question is asking how to convert the improper fraction 13/8 into a mixed number, which involves dividing the numerator by the denominator and expressing the result in a specific format.
Answer
$1 \frac{5}{8}$
Answer for screen readers
The mixed number form of the improper fraction $\frac{13}{8}$ is $1 \frac{5}{8}$.
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $\frac{13}{8}$ into a mixed number, start by dividing the numerator (13) by the denominator (8):
$$ 13 \div 8 = 1.625 $$
- Identify the Whole Number
From the division, we can see that 8 fits into 13 one time. So, the whole number part of the mixed number is 1.
- Find the Remainder
Next, we need to find the remainder of the division. To do this, subtract the product of the whole number and the denominator from the numerator:
$$ \text{Remainder} = 13 - (1 \times 8) = 13 - 8 = 5 $$
- Form the Mixed Number
Now, use the whole number and the remainder to form the mixed number. The remainder becomes the new numerator, and we keep the original denominator:
The mixed number is:
$$ 1 \frac{5}{8} $$
The mixed number form of the improper fraction $\frac{13}{8}$ is $1 \frac{5}{8}$.
More Information
Converting improper fractions to mixed numbers is a useful skill in various mathematical contexts, such as cooking, building, or any scenario requiring measurements. Mixed numbers can often make it easier to visualize a quantity.
Tips
- Forgetting to find the remainder: Always remember to calculate the remainder after dividing to form the fraction part of the mixed number.
- Misidentifying the whole number: Ensure you correctly check how many times the denominator goes into the numerator, which determines the whole number part.
