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Slugger has a 285 batting average. Which answer correctly shows his batting average as a fraction in simplest terms? Select the correct answer. a. (58)/(250) b. (57)/(200) c. (1)/(4)

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Final answer:

To convert Slugger's batting average of 0.285 into simplest fractional terms, consider the decimal as '285 out of 1000'. Upon simplifying this fraction, we get (b) 57/200, which is the correct answer.

Step-by-step explanation:

Slugger's batting average is given as 0.285. To convert this decimal to a fraction, we consider the decimal as '285 out of 1000'. To simplify this fraction, we find out the Greatest Common Divisor (GCD) of 285 and 1000. The GCD in this case is 5. We divide both the numerator and the denominator by this GCD to obtain the simplest form of the fraction. So, 285/1000 simplifies to 57/200 as both 285 and 1000 are divisible by 5. Therefore, the correct answer is (b) 57/200 which represents Slugger's simplified batting average as a fraction.

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