Question

Carl has three picture frames the thickness of the frames are 4/5 and 3/12 inch and 5/6 in what are the thickness in order from least to greatest

Answer 1

Least to greatest:

`(3)/(12),(4)/(5),(5)/(6)`

Explanation:

In order to compare fractions, it is important that we put them all over the same denominator in order to compare 'apples to apples.' In order to find the lowest common denominator, we need to look at the multiples of the three numbers:

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60

12: 12, 24, 36, 48, 60

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

The lowest common denominator is 60, so we will need to convert all of our fractions:

`(4)/(5)=(48)/(60)\\(3)/(12)=(15)/(60)\\(5)/(6)=(50)/(60)`

So, the order of our numbers is: 3/12, 4/5 and 5/6.