75/4 to a mixed number
How to write 75/4 as a Mixed Number?
Since we have an improper fraction (the numerator [75] is greater than the denominator [4]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 75/4 to a mixed number
In order to convert our improper fraction 75/4 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 [4] goes into the numerator [75]. To do this we divide the numerator by the denominator:
75 ÷ 4 = 18.75 = 18
(Quotient of 18 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 [18] and multiplying it by the original denominator [4]. And then subtract the result from the original numerator [75]:
75 - (18 × 4)
=75 - 72 = 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 [4], and then put the whole number [18] before it
That's it! We have successfully converted the improper fraction 75/4 to the mixed number 18 3/4.
Related Calculations
<a href="https://calculat.io/en/number/fraction-as-a-mixed-number/75--4">What is 75/4 as a Mixed Number? - Calculatio</a>