How Do You Subtract Mixed Fractions with Different Denominators by Regrouping?

We must get our mixed fractions to have the same denominators
7 and 2/8 is the same thing as 6 and 10/8
We can subtract the whole numbers and fractions from the mixed fractions separately

1. The common denominator here is 8
2. We need to multiply 1/4 by 2/2 to give it a denominator of 8
3. Since 2/2 is the same as 1, this means we're just multiplying 1/4 by 1 and we're not changing the value of the fraction
1. A mixed fraction can be rewritten as just a whole number plus a fraction
2. 7 is the same thing as 6+1, and the 1 will be useful so let's write it that way
3. Anything divided by itself is 1, so we can change that 1 into the fraction 8/8
4. Then we can just add 8/8 and 2/8 to get 10/8

Subtract the mixed fraction 4 and 5/8 from the other mixed fraction 7 and 1/4