Final answer:The decimal 0.87 written as a fraction is 87/100, which is already in its simplest form.Explanation:The decimal 0.87 written as a fraction is 87/100. This is because any decimal can be written as a fraction where the numerator is the decimal number without the decimal point, and the denominator is a power of 10 corresponding to the number of decimal places. In this case, since there are two decimal places, the denominator is 100. Therefore, of the options given (8/9, 79/90, 81/90), none represents the fraction form of 0.87 correctly. To convert this fraction to its simplest form, notice that 87 and 100 share a common factor of 1, so the fraction is already in its simplest form....

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