Question

Ryan has his artwork displayed at the library, the mall, and the bank. Use the clues to find the fraction of his art that is displayed at each place. 1.) 1/4 of the art is at one location, 1/8 of the art is at the second location, and 5/8 of the art is at the third location. 2.) There is more of Ryan's art at the library than the mall. 3.)There is less of Ryan's art at the bank than at the mall.

Answer 1

To solve this, we must first organize the fractions in terms of smallest to largest. We can do that by completing the fractions, which involves dividing the numerators by the denominators of the fractions.

1/4 = 1 / 4 = 0.25
1/8 = 1 / 8 = 0.125
5/8 = 5 / 8 = 0.625

Now, we can see by lining up the decimal points that 0.125 (1/8) is the smallest, followed by 0.25 (1/4), and then by 0.625 (5/8). 

And at this point, we know enough to solve.

We know that there is more of Ryan's art at the library than at the mall, and that there is less of his art at the bank than at the mall. Therefore, most of Ryan's art is at the library, followed by the mall, and then the bank.
So, we can match up the amounts of art at the different locations to the locations themselves.

There is the least art at the bank, so we can say that the 1/8 amount of his art is in the bank. 
Then, the next smallest amount is at the mall, so we can put the 1/4 amount of his art there.
Most of Ryan's art is at the library, so we can match the 5/8 amount with it.

So there we have it. 
Of Ryan's artwork, 1/8 is at the bank, 1/4 at the mall, and 5/8 at the library.
Hope that helped! =)