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Final answer:The decimal 0.1019 can be expressed as the fraction 1019/10000. This is achieved by recognizing the number of decimal places and writing it over 10 to the power of that number (4 in this case). The fraction is already in its simplest form.Explanation:To express thedecimal0.1019 as a fraction, we recognize it as a four-decimal place number. Therefore, we can write it over 10,000 (since there are four decimal places, the denominator is 10 to the power of 4). Thus, the fraction becomes 1019/10000.Now, we need to simplify this fraction. We can simplify this by looking for the greatest common divisor (GCD) between the numerator and the denominator. The GCD of 1019 and 10000 is 1, which means that 1019/10000 is already in its simplest form.So, the decimal 0.1019 can be expressed as thefraction 1019/10000.Learn more about Decimal to Fractionbrainly.com/question/13252339#SPJ2...