36/11 to a mixed number
How to write 36/11 as a Mixed Number?
Since we have an improper fraction (the numerator [36] is greater than the denominator [11]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 36/11 to a mixed number
In order to convert our improper fraction 36/11 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 [11] goes into the numerator [36]. To do this we divide the numerator by the denominator:
36 ÷ 11 = 3.27 = 3
(Quotient of 3 and a remainder of 3)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [3].
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 [11]. And then subtract the result from the original numerator [36]:
36 - (3 × 11)
=36 - 33 = 3
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [3] and put it above the original denominator [11], and then put the whole number [3] before it
That's it! We have successfully converted the improper fraction 36/11 to the mixed number 3 3/11.
Related Calculations
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/36--11">What is 36/11 as a Mixed Number? - Calculatio</a>