Final answer:
To subtract (13/14) from (1/4), convert both fractions to have a common denominator of 28, resulting in (26/28) - (7/28). The result is (19/28), which is already in reduced terms as 19 and 28 do not share common factors.
Step-by-step explanation:
To subtract the fractions (13)/(14) and (1)/(4), you need a common denominator. For these two fractions, the lowest common denominator is 28 because it is the smallest number that both 14 and 4 can divide into evenly. Now, we must convert each fraction to an equivalent fraction with this common denominator before we subtract them.
- For the first fraction, (13)/(14), multiply both the numerator and denominator by 2 to keep the value the same: (13*2)/(14*2) = (26)/(28).
- For the second fraction, (1)/(4), multiply both the numerator and denominator by 7 to keep the value the same: (1*7)/(4*7) = (7)/(28).
Now, subtract the two fractions with the common denominator:
(26)/(28) - (7)/(28) = (19)/(28).
The fraction (19)/(28) cannot be reduced any further because 19 and 28 do not have any common factors other than 1. Therefore, the answer in reduced terms is (19)/(28).