Question

There are 66 national monuments in a particular country. Twenty dash one of these monuments are located in state A.
a. What fraction of the national monuments can be found in state​ A?
b. How many of the national monuments in the country are found outside state​ A?
c. Write the fraction of national monuments found in states other than state A.

Answer 1

Let's analyze the information given:

- Total national monuments: 66
- National monuments located in state A: 20

### a. What fraction of the national monuments can be found in state A?
To find the fraction of national monuments located in state A, we use the formula:

\[
\text{Fraction in state A} = \frac{\text{Number of monuments in state A}}{\text{Total number of monuments}} = \frac{20}{66}
\]

We can simplify this fraction:

\[
\frac{20}{66} = \frac{10}{33}
\]

So, the fraction of national monuments found in state A is \(\frac{10}{33}\).

### b. How many of the national monuments in the country are found outside state A?
To find the number of national monuments outside state A, we subtract the number of monuments in state A from the total number:

\[
\text{Monuments outside state A} = \text{Total monuments} - \text{Monuments in state A} = 66 - 20 = 46
\]

So, 46 national monuments are found outside state A.

### c. Write the fraction of national monuments found in states other than state A.
The fraction of national monuments found in states other than state A can be calculated as follows:

\[
\text{Fraction outside state A} = \frac{\text{Monuments outside state A}}{\text{Total number of monuments}} = \frac{46}{66}
\]

We can simplify this fraction:

\[
\frac{46}{66} = \frac{23}{33}
\]

So, the fraction of national monuments found in states other than state A is \(\frac{23}{33}\).

### Summary:
a. The fraction of national monuments in state A: \(\frac{10}{33}\)
b. Number of national monuments outside state A: 46
c. The fraction of national monuments in states other than state A: \(\frac{23}{33}\)