Question

two-fifths of the fish in Gary's fish tank are guppies. One fourth of the guppies are red. What fraction of the fish in Gary's tank are red uppies? what fraction of the fish in gary's are not red guppies?

Answer 1

two fifths are 4 one fourth is 2 so there are 2 red guppies the fraction that they are red is 2 over 4 the fraction that are not red are 2 over 4 too

Answer 2

`(1)/(10)` of the fish are red guppies.

and
`(9)/(10)` of the fish are not red guppies.

Explanation:

Given: two-fifths of the fish in Gary's fish tank are guppies.

One fourth of the guppies are red.

To find: What fraction of the fish in Gary's tank are red guppies? what fraction of the fish in gary's are not red guppies?

Solution:

Let the total number of fish in Gary's fish tank be x.

It is given that two-fifths of the fish in Gary's fish tank are guppies.

So, number of guppies in the Gary's fish tank is
`(2)/(5)* x`

Now, it is also given that One fourth of the guppies are red.

So, number of red guppies
`=(1)/(4)* (2x)/(5)`

`=(x)/(10)`

So,
`(1)/(10)` of the fish are red guppies.

and
`1-(1)/(10) =(9)/(10)` of the fish are not red guppies.