Express 0.125 as a fraction.

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Multiple Choice

Express 0.125 as a fraction.

Explanation:
Converting a terminating decimal to a fraction uses the place value of the digits after the decimal. Since 0.125 has three digits after the decimal, write it as 125 over 1000. Then simplify by dividing numerator and denominator by their greatest common factor, which is 125, giving 125 ÷ 125 = 1 and 1000 ÷ 125 = 8. So 0.125 equals 1/8, and indeed 1/8 equals 0.125. For reference, 0.25 is 1/4, 0.375 is 3/8, and 0.625 is 5/8, which are not equal to 0.125.

Converting a terminating decimal to a fraction uses the place value of the digits after the decimal. Since 0.125 has three digits after the decimal, write it as 125 over 1000. Then simplify by dividing numerator and denominator by their greatest common factor, which is 125, giving 125 ÷ 125 = 1 and 1000 ÷ 125 = 8. So 0.125 equals 1/8, and indeed 1/8 equals 0.125. For reference, 0.25 is 1/4, 0.375 is 3/8, and 0.625 is 5/8, which are not equal to 0.125.

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