How do you change mixed number to improper fraction to viceversa?

Answer 1

An example should help.

2 3/4 = 11/4

To convert from the mixed fraction (on the left) to the improper fraction (on the right), I multiplied 2 x 4, and added 3 to the result. (The reasoning here is that 2 can be converted to the denominator 4, 2 = 8/4. This can then be added to the existing 3/4.)

To convert from the improper fraction (on the right) to the mixed fraction (on the left), divide 11 by 4. The integer part (2) is the whole number; the remainder (3) is put over the denominator (4), to get 3/4. Reasoning: Similar as above; 11/4 can be separated into two parts, one of them a whole number: 11/4 = 8/4 + 3/4.