Write the repeating decimal as a fraction. .48484848 ______

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Denote Repeating Decimal: Let's denote the repeating decimal 0.48484848... by x. x = 0.48484848...Convert to Fraction: To convert this repeating decimal into a fraction, we first express it as an infinite sum of its repeating parts. x = 0.48 + 0.0048 + 0.000048 + ...Express as Geometric Series: Notice that each term is 100 times smaller than the previous term. This is a geometric series with the first term a = 0.48 and the common ratio r = 1/100.Apply Sum Formula: The sum of an infinite geometric series can be found using the formula S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio.Express First Term as Fraction: Before we apply the formula, we need to express the first term as a fraction. The first term a = 0.48 can be written as 48/100, which simplifies to 12/25.Apply Formula for Sum: Now we can apply the formula for the sum of an infinite geometric series: x = a / (1 - r) x = (12/25) / (1 - (1/100))Simplify Denominator: Simplify the denominator: 1 - (1/100) = 100/100 - 1/100 = 99/100Substitute Values: Now we can substitute the values into the formula: x = (12/25) / (99/100)Divide by Fraction: To divide by a fraction, we multiply by its reciprocal: x = (12/25) * (100/99)Multiply Numerators and Denominators: Multiply the numerators and denominators: x = (12 * 100) / (25 * 99) x = 1200 / 2475Simplify Fraction: Simplify the fraction by finding the greatest common divisor (GCD) of 1200 and 2475, which is 25. x = (1200/25) / (2475/25) x = 48 / 99

Write the repeating decimal as a fraction. $\newline$ $.48484848$

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Write the repeating decimal as a fraction.\newline.48484848.48484848.48484848

Write the repeating decimal as a fraction. $\newline$ $.48484848$