ned folded a set of origami figures. Of this set, 5/8 are cranes and 1/6 of the remainder are frogs. The rest are grasshoppers. What fraction of the origami figures are grasshoppers?
[1 - (5/8)] * [1 - (1/6)]
To find the fraction of the origami figures that are grasshoppers, we need to subtract the fractions of cranes and frogs from 1 (since these two fractions combined make up the remainder of the figures).
First, let's find the fraction of the figures that are cranes. We are given that 5/8 of the figures are cranes.
Next, we need to find the fraction of the remainder that are frogs. The remainder is 3/8, which is obtained by subtracting 5/8 from 1. We are given that 1/6 of the remainder are frogs.
To find the fraction of frogs in the whole set, multiply the fraction of the remainder by the fraction of frogs in the remainder:
(3/8) * (1/6) = 3/48 = 1/16
Now let's find the fraction of the figures that are grasshoppers. Subtract the sum of cranes and frogs from 1:
1 - (5/8 + 1/16) = 1 - (10/16 + 1/16) = 1 - 11/16 = 5/16
So, 5/16 of the origami figures are grasshoppers.