To find the number that is halfway between 28 6 and 27 1, we first need to convert these mixed numbers into improper fractions.
28 6 can be converted as follows:
- 28 6 = (28 * 7 + 6) = 196 + 6 = 202/7
Now for 27 1:
- 27 1 = (27 * 7 + 1) = 189 + 1 = 190/7
Next, we find the average of these two improper fractions:
- (202/7 + 190/7) / 2 = (392/7) / 2 = 392/14
Now, simplifying 392/14:
- 392 ÷ 14 = 28
Therefore, the number that is halfway between 28 6 and 27 1 is 28.