Nitin made some origami animals 5/8 of them were cranes and 1/6 of the remainder were frogs the rest were grasshoppers what fraction of the origami animals were grasshoppers
(1/6)(3/8) = 3/48 = 1/16
(16/16) - (10/16) - (1/16) = ?
To find out what fraction of the origami animals were grasshoppers, we need to first calculate the proportions of cranes and frogs and then subtract them from 1 to get the fraction of grasshoppers.
Given:
- 5/8 of the origami animals were cranes
- 1/6 of the remainder were frogs
Let's calculate the fraction of cranes first:
Fraction of cranes = 5/8
Now, let's calculate the fraction of frogs:
Fraction of frogs = (1/6) * (1 - 5/8)
= (1/6) * (8/8 - 5/8)
= (1/6) * (3/8)
= 3/48
= 1/16
The sum of the fraction of cranes and frogs gives us the proportion used, so we can find the fraction of grasshoppers as follows:
Fraction of grasshoppers = 1 - (Fraction of cranes + Fraction of frogs)
= 1 - (5/8 + 1/16)
= 1 - (10/16 + 1/16)
= 1 - (11/16)
= 16/16 - 11/16
= 5/16
Therefore, the fraction of the origami animals that were grasshoppers is 5/16.
To find the fraction of origami animals that were grasshoppers, we need to follow these steps:
Step 1: Find the fraction of cranes.
Given that 5/8 of the origami animals were cranes, the fraction of cranes can be represented as 5/8.
Step 2: Find the remainder fraction.
Since the remainder refers to the animals that are not cranes, we subtract the fraction of cranes from 1 to find the remainder fraction. Therefore:
1 - 5/8 = 3/8
Step 3: Find the fraction of frogs.
Given that 1/6 of the remainder were frogs, we multiply the remainder fraction by 1/6 to find the fraction of frogs:
(3/8) * (1/6) = 3/48 = 1/16
Step 4: Find the fraction of grasshoppers.
Since the remaining animals after accounting for cranes and frogs are grasshoppers, we subtract the sum of fractions of cranes and frogs from 1 to find the fraction of grasshoppers:
1 - (5/8 + 1/16) = 1 - 9/16 = 7/16
Therefore, the fraction of the origami animals that were grasshoppers is 7/16.