Question

how can you order three mixed numbers if each one has a different denominator such as 3 and 2/5 ,3 1/2 , 3 3/8

Answer 1

First, we need to convert the mixed number into a fraction

`3\text{ }(2)/(5)=(15)/(5)+(2)/(5)=(17)/(5)`
`3(1)/(2)=(6)/(2)+(1)/(2)=(7)/(2)`
`3\text{ }(3)/(8)=(24)/(8)+(3)/(8)=(27)/(8)`

then we can convert them into a decimal number

`(17)/(5)=3.4`
`(7)/(2)=3.5`
`(27)/(8)=3.37`

in a decimal number is easier to order the number for example the bigger to smaller

`3\text{ }(3)/(8),\text{ 3}(1)/(2),3(2)/(5)`