Question

Charlotte made a bracelet using red, gray, and white beads.
Five-ninths of the bracelet is white.
The rest of the bracelet has an equal amount of red and gray.
How much of Charlotte's bracelet is gray?

(1 point)
Responses

1/9

1 9

2/9

2 9

1/3

1 3

4/9

Answer 1

Let's break down the information given:

1. Five-ninths of the bracelet is white. This means that the proportion of the bracelet that is white is \( \frac{5}{9} \).

2. The remaining part of the bracelet is red and gray. Since the total of the bracelet is 1 (or \( \frac{9}{9} \)), the remaining portion can be calculated as:

\[
1 - \frac{5}{9} = \frac{4}{9}
\]

3. This remaining \( \frac{4}{9} \) is composed of equal amounts of red and gray beads. Therefore, we divide this by 2 to get the proportion of red beads and the proportion of gray beads:

\[
\frac{4}{9} \div 2 = \frac{4}{9} \times \frac{1}{2} = \frac{4}{18} = \frac{2}{9}
\]

Thus, the amount of gray beads in Charlotte's bracelet is \( \frac{2}{9} \).

So, the answer is:

\(\frac{2}{9}\)