Question

How do you compare each pair of fractions with <, > or = given `2/3, 55/81`?

Answer 1

See a solution process below:

Explanation:

We can rewrite `2/3` by multiplying it by an appropriate form to put it over a common denominator with `55/91` while not changing the value of the function.

`27/27 xx 2/3 = (27 xx 2)/(27 xx 3) = 54/81`

`54/81` is less than `55/81` therefore we can write:

`2/3 < 55/81`