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

z1-11+zy
Simplify the denominator.
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
Simplify the denominator.
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
zzy+z
zzy+z
zzy+z
Multiply the numerator by the reciprocal of the denominator.
zy+zz
Cancel the common factor of z.
Cancel the common factor.
zy+zz
Rewrite the expression.
y+z
y+z
Simplify z/(1-1/(1+z/y))

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