Enter the simplified form of the complex fraction in the box.
Assume no denominator equals zero.
Let's work with this, first
2 1
___ + ___
x - 1 x
Cross-multiply and keep the same sign as we have between the fractions
2x + 1 * ( x - 1) = 2x + x - 1 = 3x - 1
This wiill be the numerator of the fraction at the top
Take the product of the denominators = x ( x - 1)
This will be the denominator of the fraction at the top
So.....we have
3x - 1 8
______ ÷ ____ invert the second fraction and multiply
x(x - 1) x
3x - 1 x x ( 3x - 1)
_______ * _____ = ____________
x ( x - 1) 8 8x ( x - 1)
Cancel the x's on top/bottom
(3x - 1)
______
8 (x - 1)