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Q:  2/5 of the fish in gary's fish tank are guppies. 1/4 of the guppies are red. What fraction of the fish in Gary's tank are red guppies?

A: The answer is 1/10

Answer:

\(\frac{1}{10}\)

Step-by-step explanation:

Given : 2/5 of the fish in gary's fish tank are guppies.

           1/4 of the guppies are red.

To Find : What fraction of the fish in Gary's tank are red guppies?

Solution:

2/5 of the fish in gary's fish tank are guppies.

Out of 2/5 th  of the fish in gary's fish tank  1/4 of the guppies are red.

So, The fraction of fish in Gary's tank are red guppies = \(\frac{1}{4} \times \frac{2}{5}\)

                                                                                          = \(\frac{2}{20}\)

                                                                                          = \(\frac{1}{10}\)

Hence the fish in Gary's tank are red guppies \(\frac{1}{10}\)