59/38 to a mixed number
How to write 59/38 as a Mixed Number?
Answer
Since we have an improper fraction (the numerator [59] is greater than the denominator [38]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 59/38 to a mixed number
In order to convert our improper fraction 59/38 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 [38] goes into the numerator [59]. To do this we divide the numerator by the denominator:
59 ÷ 38 = 1.55 = 1
(Quotient of 1 and a remainder of 21)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [21].
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 [38]. And then subtract the result from the original numerator [59]:
59 - (1 × 38)
=59 - 38 = 21
3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [21] and put it above the original denominator [38], and then put the whole number [1] before it
That's it! We have successfully converted the improper fraction 59/38 to the mixed number 1 21/38.
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
