Final answer:
To reduce the given fraction to its lowest term, we need to simplify the expression by finding common factors and canceling them out.
Step-by-step explanation:
To reduce the fraction to its lowest term, we need to simplify the expression by finding the common factors and canceling them out. Let's break down the given expression:
1/(1+(-2)/(4n)+4)/(-1)
- Combine the fractions in the numerator: 1/((-2)/(4n)+5)/(-1)
- Flip the fraction in the denominator and change the division to multiplication: 1/((-2)/(4n)+5)*(-1)
- Find a common denominator for the fractions in the numerator by multiplying both terms by 4n: 1*(4n)/(4n)*((-2)/(4n)+5)*(-1)
- Now simplify the expression: 4n/(-2+20n)/(4n)*(-1)
- Multiply the numerators and denominators: 4n * (-1)/ (-2+20n) * (4n)
- Simplify the expression further if possible.