Put the steps in order for changing the repeating decimal which is rational to a ratio or fraction 0.523523= what fraction
To change the repeating decimal 0.523523 to a fraction, follow these steps in order:
1. Let x be the repeating decimal.
2. Multiply both sides of the equation by 1000 (to move the decimal point three places to the right): 1000x = 523.523.
3. Subtract the original equation from the multiplied equation: (1000x - x) = (523.523 - 0.523).
Simplifying, we get: 999x = 523.
4. Divide both sides by 999: x = 523/999.
5. Simplify the fraction by finding the greatest common divisor (GCD) of 523 and 999, which is 1. We can divide both numerator and denominator by 1 to obtain the final fraction.
So, the fraction form of 0.523523 is 523/999.