What fraction is halfway between 1/3 and 1/5?

Well, to find the answer, you need to get the fractions to have a common denominator.
Multiply 1/3 by 5/5, and multiply 1/5 by 3/3.
You get 5/15 and 3/15.
Halfway between these is 4/15.

1/3____________1/5
5/15___________3/15
_______4/15______

1/4 is between 1/3 and 1/5, but it's not halfway between.
Give the fractions a common denominator
1/3 = 5/15
1/5 = 3/15

Now you can see that 4/15 is halfway between.

= (1/3 + 1/5)/2
= (5/15 + 3/15)/2
= (8/15)/2
= 8/15 * 1/2
= 4/15

Answer: 4/15 is halfway between 1/3 and 1/5.

4/15

1/4

1/3 = (1 x 5)/(3 x 5) = 5/15
1/5 = (1 x 3)/(5 x 3) = 3/15

∴ 1/3 > (4/15) > 1/5

[(1/3) + (1/5)]/2
(8/15)/2
4/15.

Imagine two numbers, say, 1 and 5. The number halfway between 1 and 5 is 3. You can get 3 by adding 1 and 5 and dividing the result by 2: (1 + 5)/2 = 6/2 = 3.
Imagine another two numbers, say 4 and 16.
The number halfway between 4 and 16 is 10. You can get 10 by adding 4 and 16 and dividing the result by 2.

Generalizing, the number halfway between two numbers is equal to one-half the sum of the two numbers.

Hope I help you.

teddy boy

1/4 (.25) is between those fractions too. 1/3 =.333333 and 1/5=.2