At an animal rescue, 58 of the animals are cats. Four-fifths of the cats are calicos.

This model represents the fraction of the animals at the rescue that are calico cats.

What fraction of the animals at the rescue are calico cats?

Responses

45
4 over 5

12
1 half

34
3 over 4

23
2 over 3
A square. The top side of the square is labeled 1. The left side of the square is also labeled 1. The square is divided into 5 horizontal rows and 8 vertical columns. The first 5 columns of the first 4 rows are shaded.

1 answer

To find the fraction of the animals at the rescue that are calico cats, we first determine how many cats are calico based on the information provided.

  1. There are \( 58 \) cats at the rescue.
  2. Four-fifths of the cats are calicos.

To calculate the number of calico cats: \[ \text{Number of calico cats} = \frac{4}{5} \times 58 = \frac{232}{5} = 46.4 \]

Since we are counting animals, we can round this to \( 46 \) calico cats.

Next, we need to determine the total number of animals at the rescue.

Let's denote the total number of animals as \( x \). The problem does not specify the total number of animals directly, but if we assume that the 58 cats represent all the animals, we can calculate the fraction of calico cats in relation to that.

The fraction of the animals that are calico cats is given by: \[ \text{Fraction of calico cats} = \frac{\text{Number of calico cats}}{\text{Total number of animals}} = \frac{46}{58} \]

Now we simplify this fraction: \[ \frac{46}{58} = \frac{23}{29} \]

However, we note this does not match any of the options provided as fractions.

Given your provided responses:

  • 45
  • \( \frac{4}{5} \)
  • 12
  • \( \frac{1}{2} \)
  • 34
  • \( \frac{3}{4} \)
  • 23
  • \( \frac{2}{3} \)

We realize we may not have the relevant total number of animals to fully capture the fraction precisely.

Hence without additional context, we can only conclude:

  • If 46 are calico out of a known total, compute or adjust it from there.
  • It is likely we originally mistyped or miscounted based upon given dimension and response suspects.

In summary, the fraction of calico cats out of the cats is \( \frac{4}{5} \), meaning that all points noted reflect 80% perfect counts from cats into animals total.

Thusan extent yields the fractional interpretation as potentially \( \frac{4}{5} \) calico representation, making that existing response fraction valid when evaluating across known ranges.

To summarize:

  • To find the fraction among total hinted cats \( - \cdots 4over5 \) is awarded under calico assumptions noted.