The fraction equivalent to 0.474747... is:

Explanation

Solution: Let x = 0.474747... (repeating) This is a repeating decimal with a repeating block of 47. Since there are two digits repeating, we multiply x by 100 to shift the decimal point two places to the right: 100x = 47.474747... Now, we subtract the original x from this equation: 100x - x = 47.474747... - 0.474747... 99x = 47 Now, we solve for x by dividing both sides by 99: x = 47/99 Therefore, the fraction equivalent to 0.474747... is 47/99.