Question

Order the fractions from least to greatest. 2 2/3,2 6/15,2 3/5,2 4/9

Answer 1

We should bring all of those numbers to the same denominator: here 45 is best, since it's a multiplication of all the denominators present (3,15,5,9).

So the numbers will be:


`2(30)/(45)`,
`2(18)/(45)`,
`2(27)/(45)`,
`2(20)/(45)`

I calculated this like this:

(on the example of
`2(2)/(3)`)


`2(2)/(3)=2(2*15)/(3*15) =2(30)/(45)`

I multiphied by 15 because 45/3=13

so now we can order those numbers from the smallest to the largest:


`2(18)/(45)`
`2(20)/(45)`,
`2(27)/(45)`,
`2(30)/(45)`,

which correspond to


`2(6)/(15)`
`2(4)/(5)`,
`2(3)/(5)`,
`2(2)/(3)`,