which arrangement for these fractions is from least to greatest 2/3 3/5 5/7

Question

anonymous · Answer

i think its 3/5, 2/3, 3/5 is that right?

texaschic101 · Answer

it might make it easier if you turned the fractions to decimals

texaschic101 · Answer

2/3 = 0.666
3/5 = 0.60
5/7 = 0.71
now try it

texaschic101 · Answer

crazy girl.....you got 3/5 listed twice in your answer

anonymous · Answer

Hi!  You can re-name the fractions to better compare them.  The denominators are 3,5,7; the least common denominator in this case is the product (because they don't have any shared factors): LCD = 3*5*7 = 105.
Then,  3/5 = (multiply top & bottom by 35) = 63/105
2/3 = 70/105
5/7 = 75/105
so the correct ordering from least to greatest is: 3/5, 2/3, 5/7
Getting the decimal approximations works well, too (as another person suggested).
It's great to have different tools to attack the same problem!
Have a great day...

anonymous · Answer

3/5 2/3  5/7

anonymous · Answer

thanks