Write 27/4 as a Mixed Number

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In order to write 27/4 as a mixed number in simplest form (sometimes people will say "as a whole number" or "mixed fraction" ) we can follow a few steps.

Note that 27/4 is already simplified (in lowest terms). So we can't reduce or simplify 27/4 any further. But we can write is as a mixed number.

First we can divide the numerator (27) by the denominator (4). 4 goes into 27 a total of 6 times with a remainder of 3.

Second, we take the remainder and put it over the original denominator. This gives us 3/4.

For the mixed number we have the whole number 5 and the fraction (from the remainder) of 3/4.

So 27/4 written as a mixed number is 6 3/4 (six and three-fourths)

To check your work you can now multiply the whole number in mixed fraction by the denominator (6 x 4) and add this to the numerator (the 3 in the 3/4) you will get 27/4. This is a good way to check that you have the right mixed fraction.
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