109/42 to a mixed number
Fraction to Mixed Number Converter
How to write 109/42 as a Mixed Number?
Answer
Since we have an improper fraction (the numerator [109] is greater than the denominator [42]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 109/42 to a mixed number
In order to convert our improper fraction 109/42 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 [42] goes into the numerator [109]. To do this we divide the numerator by the denominator:
109 ÷ 42 = 2.6 = 2
(Quotient of 2 and a remainder of 25)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [25].
You may also calculate a remainder by using the whole number we calculated in the first step [2] and multiplying it by the original denominator [42]. And then subtract the result from the original numerator [109]:
109 - (2 × 42)
=109 - 84 = 25
3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [25] and put it above the original denominator [42], and then put the whole number [2] before it
That's it! We have successfully converted the improper fraction 109/42 to the mixed number 2 25/42.
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
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FAQ
How to write 109/42 as a Mixed Number?
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