Question

Why is 1/6 greater than 1/8 but less than 1/3

Answer 1

If you change all the fractions so they have a common denominator, you get that 1/6 becomes 4/24, 1/8 becomes 3/24, and 1/3 becomes 8/24. 4/24 is more than 3/24. 4/24 is less than 8/24.

Answer 2

So first thing we have to realise is that we have to make them have equal denominators. So,

`(1)/(6) = (4)/(24) \\ \\ (1)/(8) = (3)/(24) \\ \\ (1)/(3) = (8)/(24)`.

Now order the fractions....so,

`(1)/(3) = (8)/(24) \\ \\ (1)/(6) = (4)/(24) \\ \\ (1)/(8) = (3)/(24)`

Now we can see why
`(1)/(6)` is greater than
`(1)/(8)` but less than
`(1)/(3)`