High School

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Change the decimal into a fraction and reduce to the lowest common denominator.

0.025 =

A. \(\frac{1}{40}\)
B. \(\frac{1}{35}\)
C. \(\frac{1}{30}\)
D. \(\frac{1}{25}\)

Answer :

Final answer:

The decimal 0.025 converted to a fraction in its lowest terms is 1/40 after reducing the initial fraction of 25/1000 by dividing both the numerator and denominator by the greatest common divisor of 25. Hence the correct option would be option a.

Explanation:

To convert the decimal 0.025 into a fraction, we notice that 0.025 has three decimal places. Moving the decimal point three places to the right to convert it into a whole number gives us 25. The original number is then equivalent to 25/1000. We can then reduce this fraction to its lowest common denominator. To reduce the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator, which, in this case, is 25. Dividing both the numerator and denominator by 25 gives us 1/40. Therefore, 0.025 as a fraction in its lowest terms is 1/40.

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