Answered

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If the denominator of a fraction is 48, is it possible that the fraction could be written as a terminating decimal? Why or why not?

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Final answer:

A fraction with a denominator of 48 cannot be written as a terminating decimal.


Explanation:

No, it is not possible for a fraction with a denominator of 48 to be written as a terminating decimal.

This is because a fraction results in a terminating decimal if and only if its denominator is a product of the powers of 2 and/or 5. Since 48 can be expressed as 2^4 * 3, which includes a prime factor other than 2 and 5, the fraction cannot be represented as a terminating decimal.

For example, the fraction 1/48 equals 0.020833333... which is a repeating decimal, not a terminating one.


Learn more about Fractions and Terminating Decimals here:

https://brainly.com/question/5286788


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