Final answer:To express 0.126 as a fraction, we multiply it by 1000 and subtract the original equation from the multiplied equation. Then, we divide by 999 to obtain the fraction. Finally, we can simplify the fraction.Explanation:To express the recurring decimal 0.126 as a fraction, we can use the concept of infinite geometric series. Let's call the recurring decimal x. To convert it into a fraction, we multiply both sides of the equation x = 0.126 by 1000 (since there are 3 decimal places) to get 1000x = 126. Now, to eliminate the recurring part, we subtract the original equation from the multiplied equation, which gives us 1000x - x = 126 - 0.126. Simplifying, we have 999x = 125.874. Dividing both sides by 999, we find that x = 125.874 / 999. This fraction can be further simplified by finding the greatest common divisor (GCD) of the numerator and denominator to obtain the final simplified fraction.Learn more about Expressing a recurring decimal as a fraction here:brainly.com/question/13157328...

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