82/45 to a mixed number
How to write 82/45 as a Mixed Number?
Answer
Since we have an improper fraction (the numerator [82] is greater than the denominator [45]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 82/45 to a mixed number
In order to convert our improper fraction 82/45 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 [45] goes into the numerator [82]. To do this we divide the numerator by the denominator:
82 ÷ 45 = 1.82 = 1
(Quotient of 1 and a remainder of 37)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [37].
You may also calculate a remainder by using the whole number we calculated in the first step [1] and multiplying it by the original denominator [45]. And then subtract the result from the original numerator [82]:
82 - (1 × 45)
=82 - 45 = 37
3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [37] and put it above the original denominator [45], and then put the whole number [1] before it
That's it! We have successfully converted the improper fraction 82/45 to the mixed number 1 37/45.
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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 Fractions
