show that the number is rational by writing it as a quotient of two integers.

1. 24
2. 5 7/18
3. 1
4. 0.3

im not so sure what your suppose to do

I will do two

24=24/1

.3=3/10

wait how did you get that?

I typed the equivalent expression as a fraction.

5 7/18 = 97/18

To show that a number is rational, you need to express it as a quotient, or a fraction, of two integers. Here's how you can do it for each of the given numbers:

1. 24: Since 24 is already a whole number, it can be expressed as a fraction by putting it over 1. So, 24 can be written as 24/1.

2. 5 7/18: To express this mixed number as a fraction, you first convert the whole number part to a fraction. Multiply the whole number (5) by the denominator of the fraction part (18), and then add the numerator of the fraction part (7).
The numerator becomes 5 * 18 + 7 = 97, and the denominator remains the same (18). So, 5 7/18 can be written as 97/18.

3. 1: Like in the first example, 1 can be written as 1/1 since it is already an integer.

4. 0.3: To convert a decimal into a fraction, you place the decimal number as the numerator and the appropriate power of 10 as the denominator. In this case, 0.3 can be written as 3/10.

So, to summarize:
1. 24 = 24/1
2. 5 7/18 = 97/18
3. 1 = 1/1
4. 0.3 = 3/10

By expressing each of the numbers as a quotient of two integers, we have shown that they are all rational numbers.