Answer :
The fractions arranged from greatest to least are- 13/15, 4/5, 7/9, 30/45
Here, we are given 4 fractions- 4/5, 2/3, 13/15, 7/9
In order to compare them, let us equalize their denominators.
The denominators are- 5, 3, 15 and 9
The LCM of 5, 3, 15 and 9 is 45
Thus, we can write the fractions as-
4/5 = (9*4)/(5*9) = 36/45
2/3 = (2*15)/(3*15) = 30/45
13/15 = (13*3)/(15*3) = 39/45
7/9 = (7*5)/(9*5) = 35/45
Now, we can easily compare the fractions by comparing their numerators.
We see that-
39 > 36 > 35 > 30
Thus, 13/15 > 4/5 > 7/9 > 30/45
Hence, the fractions arranged from greatest to least are- 13/15, 4/5, 7/9, 30/45
Learn more about fractions here-
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