Final answer:1.075 as a simplifiedfractionis 43/40.Explanation:To express 1.075 as a simplified fraction, we can follow these steps:1.075 can be seen as a mixed number with a whole number part (1) and a decimal part (0.075). We need to convert thedecimalpart into a fraction.Step 1: Convert the Decimal to a FractionTo convert 0.075 to a fraction, we first count the decimal places, which is 3. Then, we place the decimal part (75) over a denominator with as many zeros as there are decimal places (1000) to get 75/1000.Step 2: Simplify the FractionTo simplify the fraction further, we find the greatest common divisor (GCD) of thenumerator(75) and the denominator (1000), which is 25. We divide both the numerator and denominator by 25 to get 3/40.Step 3: Combine the Whole and Fractional PartsNow that we have 1 as the whole number part and 3/40 as the fractional part, we can combine them. To do this, we find a common denominator, which is 40, and add the whole number part as a fraction with the samedenominator: 1 = 40/40. Now, we can add the fractions: 40/40 + 3/40 = 43/40.So, 1.075 as a simplified fraction is 43/40.Learn more aboutfractionbrainly.com/question/33564650#SPJ11...

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