Every mixed number has two components to it: a whole part and a fractional part. The whole part represents the number of wholes in a given number, and the fractional part represents the remainder; the “leftovers,” essentially.
Let’s establish first that our result is going to be negative. That’s a non-negotiable. Now, we can turn our attention to the 25/7. What is “one whole” when we’re dealing with sevenths? Well, splitting one whole thing into sevenths is the same as splitting it into 7 equal pieces, so in any one whole, we’ll have 7/7.
So, finding the *whole* part of 25/7 is the same thing as finding out how many *whole 7s* fit in 25. We can fit 3 whole 7s into 25, so our whole part is 3. Dividing 25 by 7 leaves us with *4/7* (since 7 x 3 = 21 and 25 - 21 = 4), so our fractional part is 4/7. Putting that together:
Adding back on the negative sign from the beginning, we find that our mixed number is
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