Question

In an aquarium 2/3 of the fish are gold and 1/5 of the fish are black. Graph the numbers of gold and black fish on a number line.

Answer 1

To graph the proportions of gold and black fish in an aquarium on a number line, convert the fractions to a common denominator (15 in this case) and then mark the proportions accordingly: 10/15 for gold fish, and 3/15 for black fish.

Step-by-step explanation:

To graph the numbers of gold and black fish on a number line, we need to represent the fractions 2/3 and 1/5 accordingly. Assume that the number line has a scale where each whole number represents the total population of fish in the aquarium. We would need to pick a common denominator to accurately display both fractions on the number line. The smallest common denominator for 3 and 5 is 15. Converting the fractions to have the denominator of 15, we get:

• Gold fish: 2/3 = 10/15
• Black fish: 1/5 = 3/15

Now we will place these values on a number line:

1. Mark a point at 0 to represent the starting point of the number line.
2. Divide the number line into 15 equal segments since our common denominator is 15.
3. Mark a point at the 10th segment to represent the proportion of gold fish.
4. Mark another point at the 3rd segment to represent the proportion of black fish.

Ensure that the number line is clearly labeled with fractions showing the proportions of gold and black fish. It's also important to add labels to each point to indicate which color of fish each point represents.