6 - 5/3 is how it should be written out. To solve this problem, you must first turn 6 into a fraction as well, which is easily done by multiplying 6 by 3 which gives you 18, and then placing the value by which you multiplied by as the denominator, since 18 divided by 3 equals 6.
It should now look like this: 18/3 - 5/3=
Now, you subtract the numerators, the top numbers, from each other.
18/3 - 5/3= 13/3
Since 13/3 cannot be simplified that is your answer.
If you require a mixed number you take you divide 13 into 3. 3 goes into 13 four times. You cannot simply throw away the rest of the number, so you place it next to 4, so it would be 4 and 1/3.
To double check if you did it right, multiply the denominator, the bottom number, in your fraction by the whole number and then add the numerator.
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-5 and two thirds.
6 minus 3 and two thirds = 2 and one third.
12 - 5 2/3 = 6 1/3
5/6 - (-2/3) = 5/6 + 2/3 = 5/6 + 4/6 = 9/6 = 1 1/2
3 and two thirds