31/3 to a mixed number
How to write 31/3 as a Mixed Number?
Answer
Since we have an improper fraction (the numerator [31] is greater than the denominator [3]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 31/3 to a mixed number
In order to convert our improper fraction 31/3 to a mixed number, we need to follow three basic steps:
1. Find the whole number. First we need to calculate how many times the denominator [3] goes into the numerator [31]. To do this we divide the numerator by the denominator:
31 ÷ 3 = 10.33 = 10
(Quotient of 10 and a remainder of 1)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [1].
You may also calculate a remainder by using the whole number we calculated in the first step [10] and multiplying it by the original denominator [3]. And then subtract the result from the original numerator [31]:
31 - (10 × 3)
=31 - 30 = 1
3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [1] and put it above the original denominator [3], and then put the whole number [10] before it
That's it! We have successfully converted the improper fraction 31/3 to the mixed number 10 1/3.
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See Also
- Fraction to Decimal Converter - Convert Fraction to Decimal
- Fraction Comparison Calculator - Compare two fractions and find out which is larger
- Fraction Simplifier Calculator - Simplify Fraction to its Lowest Terms
- Percent to Fraction Converter - Convert Percents to Fraction
<a href="https://calculat.io/en/number/fraction-as-a-mixed-number/31--3">What is 31/3 as a Mixed Number? - Calculatio</a>