202k views
1 vote
Reduce the fraction to its lowest term. Assume denominators are equal to 0 1/1+-2/4n+4/-1.

1 Answer

3 votes

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)

  1. Combine the fractions in the numerator: 1/((-2)/(4n)+5)/(-1)
  2. Flip the fraction in the denominator and change the division to multiplication: 1/((-2)/(4n)+5)*(-1)
  3. Find a common denominator for the fractions in the numerator by multiplying both terms by 4n: 1*(4n)/(4n)*((-2)/(4n)+5)*(-1)
  4. Now simplify the expression: 4n/(-2+20n)/(4n)*(-1)
  5. Multiply the numerators and denominators: 4n * (-1)/ (-2+20n) * (4n)
  6. Simplify the expression further if possible.

User ToxicFrog
by
7.7k points