Question

Select two like fractions with a difference of 1/3 and with denominators that are not 3. Justify your selection.

Answer 1

`(9)/(12) - (5)/(12) = (4)/(12) = (1)/(3)`

Explanation:

Like fractions are the fractions that have same denominators.

In order to find a pair of fractions whose difference is
`(1)/(3)`, we can use the concept of equivalent fractions as well.

We can have many many pairs of like fraction whose difference is
`(1)/(3)`. An example illustrated below will give a better understanding:

`(9)/(12) - (5)/(12) = (4)/(12) = (1)/(3)`

Here,
`(9)/(12)` and
`(5)/(12)` are like fraction. Their difference is
`(1)/(3)`

Answer 2

take 1/3 and 2/3, now if you convert them to a fraction with a different denominators, by multiplying them both by 2/2, you can get 2/6 and 4/6