53/8 to a mixed number
Fraction to Mixed Number Converter
How to write 53/8 as a Mixed Number?
Since we have an improper fraction (the numerator [53] 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 53/8 to a mixed number
In order to convert our improper fraction 53/8 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 [53]. To do this we divide the numerator by the denominator:
53 ÷ 8 = 6.63 = 6
(Quotient of 6 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 [6] and multiplying it by the original denominator [8]. And then subtract the result from the original numerator [53]:
53 - (6 × 8)
=53 - 48 = 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 [8], and then put the whole number [6] before it
That's it! We have successfully converted the improper fraction 53/8 to the mixed number 6 5/8.
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FAQ
How to write 53/8 as a Mixed Number?
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