Final answer:
To simplify the complex fraction ((1/2)-(1/7))/((7-3)/14), first simplify the numerator and denominator separately, then divide the simplified numerator by the simplified denominator to obtain the final result of 5/4.
Step-by-step explanation:
To simplify the complex fraction ((1/2)-(1/7))/((7-3)/14), we need to start by simplifying the expressions within the numerator and denominator.
Step 1: Simplify the numerator:
1/2 - 1/7 = (7/14) - (2/14) = 5/14
Step 2: Simplify the denominator:
(7-3)/14 = 4/14 = 2/7
Step 3: Divide the simplified numerator by the simplified denominator:
(5/14)/(2/7) = (5/14) * (7/2) = 35/28 = 5/4
Therefore, the result of simplifying the given complex fraction is 5/4.