69/7 to a mixed number
How to write 69/7 as a Mixed Number?
Since we have an improper fraction (the numerator [69] 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 69/7 to a mixed number
In order to convert our improper fraction 69/7 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 [69]. To do this we divide the numerator by the denominator:
69 ÷ 7 = 9.86 = 9
(Quotient of 9 and a remainder of 6)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [6].
You may also calculate a remainder by using the whole number we calculated in the first step [9] and multiplying it by the original denominator [7]. And then subtract the result from the original numerator [69]:
69 - (9 × 7)
=69 - 63 = 6
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [6] and put it above the original denominator [7], and then put the whole number [9] before it
That's it! We have successfully converted the improper fraction 69/7 to the mixed number 9 6/7.
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