z1-11+zy

Write 1 as a fraction with a common denominator.

z1-1yy+zy

Combine the numerators over the common denominator.

z1-1y+zy

z1-1y+zy

Multiply the numerator by the reciprocal of the denominator.

z1-(1yy+z)

Multiply yy+z by 1.

z1-yy+z

Write 1 as a fraction with a common denominator.

zy+zy+z-yy+z

Combine the numerators over the common denominator.

zy+z-yy+z

Rewrite y+z-yy+z in a factored form.

Subtract y from y.

zz+0y+z

Add z and 0.

zzy+z

zzy+z

zzy+z

Multiply the numerator by the reciprocal of the denominator.

zy+zz

Cancel the common factor.

zy+zz

Rewrite the expression.

y+z

y+z

Simplify z/(1-1/(1+z/y))