Explanation:
To find the fraction of fish in Nathan's aquarium that are striped fish over 6 inches in length, we need to multiply the fractions representing the proportions of striped fish and the proportions of those over 6 inches long.
Given information:
- 2/3 of Nathan's fish have stripes.
- 3/7 of the striped fish are over 6 inches long.
To calculate the desired fraction, we multiply these two fractions:
(2/3) * (3/7) = 6/21
The resulting fraction is 6/21. This fraction represents the proportion of fish in Nathan's aquarium that are both striped and over 6 inches long. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:
(6/3) / (21/3) = 2/7
Therefore, the fraction of fish in Nathan's aquarium that are striped and over 6 inches in length is 2/7.