1) Let x = 0.523523...
2) Multiply both sides of the equation by 1000 to move the decimal point three places to the right:
1000x = 523.523523...
3) Subtract the original equation from the new equation to eliminate the repeating decimal:
1000x - x = 523.523523... - 0.523523...
Simplify:
999x = 523
4) Divide both sides of the equation by 999 to isolate x:
x = 523/999
5) Simplify the fraction:
x = 58/111
Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.523523... = what fraction? (5 points)
1 answer
1 answer