Question

Name four fractions between 5/11 and 5/6

Answer 1

6/11, 20/33, 2/3, 25/33 (answers vary)

Explanation:

First, we need to convert both of these fractions to the same denominator. To do that, we need to find the least common denominator for both fractions.

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

11: 11, 22, 33, 44, 55, 66, 77

The LCM of 6 and 11 is 66. (6 * 11 = 66)

Now, we multiply 5/6 by 11/11 and 5/11 by 6/6.

`(5)/(6) *(11)/(11)=(55)/(66)\\\\\\(5)/(11) *(6)/(6) =(30)/(66)`

Now, we can just choose four numbers between 30 and 55 and get our answer (remember to simplify!).

`(36)/(66) =(6)/(11)`

`(40)/(66)=(20)/(33)`

`(44)/(66) =(2)/(3)`

`(50)/(66) =(25)/(33)`