Final answer:
The number 3.24 (4 repeating) can be expressed as the fraction 29.2/9.
Step-by-step explanation:
The number 3.24 (4 repeating) can be expressed as a fraction by using the concept of repeating decimals. Let's call the number x:
x = 3.2444444...
To get rid of the repeating part, multiply x by 10. This will move the decimal point one place to the right:
10x = 32.444444...
Now, subtract the original equation from the new equation:
10x - x = 32.444444... - 3.2444444...
9x = 29.2
x = 29.2/9
So, 3.24 (4 repeating) can be expressed as the fraction 29.2/9.