How do you work out a number halfway between two fractions?

Answer 1

To find the number halfway between two fractions, you add the two fractions together and then divide the sum by 2. For example, if you want to find the number halfway between 1/4 and 3/4, you would add 1/4 + 3/4 = 4/4 = 1. Then you divide 1 by 2 to get 1/2. Therefore, the number halfway between 1/4 and 3/4 is 1/2.

Answer 2

To locate the average (halfway point) between two fractions, change them both to equivalent fractions: fractions with a common denominator. The LCM is best, or you can multiply the denominators together to find a common one. Then add the fractions together and divide by 2.

If the numerator of the sum is odd, divide by two by multiplying the denominator by 2.

examples:

1/5 and 3/5 -- the average (halfway point) is obviously 2/5

1/3 and 2/3 -- the sum is 3/3 = 1, so the midway point is 1/2

(you can see that the midway point between 2/6 and 4/6 is 3/6)

1/5 and 3/7 -- 7/35 + 15/35 = 22/35 and the halfway point is 11/35

(the midway point between 7 and 15 is 11)

1/6 and 5/11 -- 11/66 + 30/66 = 41/66 and the halfway point is 41/132

Checking:

1/6 = 22/132 and 5/11 = 60/132 --

the midpoint 41/132 is 19/132 more than 1/6 and 19/132 less than 5/11