Arrange the following rational numbers in descending order $2/3," "4/9," "5/12," "7/18?$

Question

3733 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-24T16:40:58

$2/3>4/9>5/12>7/18$

To evaluate these without a calculator, you could modify each fraction to have a common denominator.

In this case, let's use 36 as the common denominator, since all 4 of the denominators are factors of 36.

$2/3=2/3*12/12=24/36$

$4/9=4/9*4/4=16/36$

$5/12=5/12*3/3=15/36$

$7/18=7/18*2/2=14/36$

Now it's easy to see that

$24/36>16/36>15/36>14/36$

Arrange the following rational numbers in descending order 2/3," "4/9," "5/12," "7/18?2/3," "4/9," "5/12," "7/18?