34/5 to a mixed number
How to write 34/5 as a Mixed Number?
Since we have an improper fraction (the numerator [34] is greater than the denominator [5]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 34/5 to a mixed number
In order to convert our improper fraction 34/5 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 [5] goes into the numerator [34]. To do this we divide the numerator by the denominator:
34 ÷ 5 = 6.8 = 6
(Quotient of 6 and a remainder of 4)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [4].
You may also calculate a remainder by using the whole number we calculated in the first step [6] and multiplying it by the original denominator [5]. And then subtract the result from the original numerator [34]:
34 - (6 × 5)
=34 - 30 = 4
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [4] and put it above the original denominator [5], and then put the whole number [6] before it
That's it! We have successfully converted the improper fraction 34/5 to the mixed number 6 4/5.
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