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 guppies?Show your work.

Answer 1

How many fish are there in all? We need that to answer the question.

Answer 2

Answer:

$\frac{1}{10}$

Step-by-step 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.

Solution:

Let total number of fish in tank be $=\text{x}$

Number of guppies in tank are $=\frac{2}{5}\text{of total fish}$

Number of guppies in tank are $=\frac{2}{5}\text{x}$

Number of red guppies in tank are $=\frac{1}{4}\text{of total guppies}$

                                                          $\frac{1}{4}\times\frac{2}{5}\text{x}$

                                                          $\frac{1}{10}\text{x}$

Now,

fraction of the fish in Gary's tank that are red guppies

                                                           $=\frac{\text{red guppies}}{\text{total fish in Gary's tank}}$

                                                           $\frac{\frac{1}{10}\text{x}}{\text{x}}$

                                                           $\frac{1}{10}$

Hence  $\frac{1}{10}$ of total fish are red guppies.