33/8 to a mixed number
How to write 33/8 as a Mixed Number?
Since we have an improper fraction (the numerator [33] is greater than the denominator [8]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 33/8 to a mixed number
In order to convert our improper fraction 33/8 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 [8] goes into the numerator [33]. To do this we divide the numerator by the denominator:
33 ÷ 8 = 4.13 = 4
(Quotient of 4 and a remainder of 1)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [1].
You may also calculate a remainder by using the whole number we calculated in the first step [4] and multiplying it by the original denominator [8]. And then subtract the result from the original numerator [33]:
33 - (4 × 8)
=33 - 32 = 1
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [1] and put it above the original denominator [8], and then put the whole number [4] before it
That's it! We have successfully converted the improper fraction 33/8 to the mixed number 4 1/8.
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