Question

How do you write three different complex fractions that simplify to 1/4?

Answer 1

`1/4=421/1684=(37x^3y^8)/(148x^3y^8)=(ax^2+bx+c)/(4ax^2+4bx+4c)=(3-4i)/(12-6i)`

Explanation:

It is not clear what do you mean by complex fractions, but some possibilities are given below.

If you want to write three different complex fractions that simplify to `1/4`, just multiply numerator and denominator by same number, monomial, polynomial or may be a complex number.

Some examples are

`1/4=(1xx421)/(4xx421)=421/1684`

or `1/4=(1xx37x^3y^8)/(4xx37x^3y^8)=(37x^3y^8)/(148x^3y^8)`

or`1/4=(1xx(ax^2+bx+c))/(4xx(ax^2+bx+c))=(ax^2+bx+c)/(4ax^2+4bx+4c)`

or `1/4=(1xx(3-4i))/(4xx(3-4i))=(3-4i)/(12-6i)`