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?

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Let's first find a common denominator. What number do both 8 and 6 go into? Let's use 24.
5/8 or 15/24  of the figures are cranes.

The remainder is 9/4  [24/24-15/24], reduced to  3/8

1/6 of 3/8 are frogs. [1/6 of the remainder are frogs.]
Therefore, 5/6 of the remainder 3/8  are grasshoppers.
Multiply across - 5/6 * 3/8 = 15/48

the answer is 5/16