26/7 to a mixed number
How to write 26/7 as a Mixed Number?
Since we have an improper fraction (the numerator [26] is greater than the denominator [7]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 26/7 to a mixed number
In order to convert our improper fraction 26/7 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 [7] goes into the numerator [26]. To do this we divide the numerator by the denominator:
26 ÷ 7 = 3.71 = 3
(Quotient of 3 and a remainder of 5)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [5].
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 [7]. And then subtract the result from the original numerator [26]:
26 - (3 × 7)
=26 - 21 = 5
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [5] and put it above the original denominator [7], and then put the whole number [3] before it
That's it! We have successfully converted the improper fraction 26/7 to the mixed number 3 5/7.