31/9 to a mixed number
How to write 31/9 as a Mixed Number?
Answer
Since we have an improper fraction (the numerator [31] is greater than the denominator [9]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 31/9 to a mixed number
In order to convert our improper fraction 31/9 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 [9] goes into the numerator [31]. To do this we divide the numerator by the denominator:
31 ÷ 9 = 3.44 = 3
(Quotient of 3 and a remainder of 4)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [4].
You may also calculate a remainder by using the whole number we calculated in the first step [3] and multiplying it by the original denominator [9]. And then subtract the result from the original numerator [31]:
31 - (3 × 9)
=31 - 27 = 4
3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [4] and put it above the original denominator [9], and then put the whole number [3] before it
That's it! We have successfully converted the improper fraction 31/9 to the mixed number 3 4/9.
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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
- Dividing Fractions Calculator - Divide fractions, mixed numbers and whole numbers step by step
- Multiplying Fractions Calculator - Multiply fractions, mixed numbers and whole numbers step by step
- Fraction Simplifier Calculator - Simplify Fraction to its Lowest Terms
- Percent to Fraction Converter - Convert Percents to Fractions
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