The ratio of the numerator to the denomintor of a certain fraction is one to four. if three is added to the numerator and subtracted from the denominator, the new fraction reduces to one-third. what is the original fraction?

Step-by-step explanation:

You know that the ratio of the numerator to the denominator of the fraction is 1:4. This can be written as . Then you can write the following expression

Where the denumerator is 4 times the numerator.

 You also know that if you add three to the numerator and subtracted from the denominator, the new fraction reduces to :

Then, you must solve for n, as following:

\

Then the denominator is:

The original fraction  is:

21

step-by-step explanation:

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