31/3 as a mixed number
Understand the Problem
The question is asking how to convert the improper fraction 31/3 into a mixed number format. To solve this, we will divide the numerator (31) by the denominator (3) and express the result as a whole number and a proper fraction.
Answer
The mixed number form is \( 10 \frac{1}{3} \).
Answer for screen readers
The mixed number form of the improper fraction ( \frac{31}{3} ) is ( 10 \frac{1}{3} ).
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction to a mixed number, divide the numerator (31) by the denominator (3):
$$ 31 \div 3 = 10 $$
The quotient is 10, which will be the whole number part of the mixed number.
- Calculate the Remainder
Next, calculate the remainder of the division, which will be used to find the proper fraction part. To find the remainder, use:
$$ 31 - (3 \times 10) = 31 - 30 = 1 $$
So, the remainder is 1.
- Form the Mixed Number
Now that we have the whole number and the remainder, we can express the improper fraction as a mixed number. Combine the whole number with the remainder over the original denominator:
$$ 10 \frac{1}{3} $$
Thus, the mixed number is ( 10 \frac{1}{3} ).
The mixed number form of the improper fraction ( \frac{31}{3} ) is ( 10 \frac{1}{3} ).
More Information
When converting improper fractions to mixed numbers, the whole number represents how many whole parts fit into the numerator, while the fraction part represents the leftover. This process is useful in many real-life applications, such as cooking or measuring.
Tips
- Forgetting to subtract the product of the whole number and the denominator from the numerator when calculating the remainder. Make sure to always perform this step to ensure accuracy.
