# Simplifying Fractions Test

**Tutor description**

(y-1/(y+1/y))/(y+1/(y-1/y)) = (y-1/(((y)(y)+1)/y))/(y+1/(((y)(y)-1)/y)) = (y-1/(y^2+y/y))/(y+1/(y^2-1/y)) = (y-1- y/(y^2+1))/(y+1- y/(y^2-1)) (y-y/(y^2+1))/(y+y/(y^2-1)) = ((y(y^2+1)-y)/(y^2+1))/((y+(y^2-1)+y)/(y^2-1)) = y^2/(y^2+1)•(y^2-1)/y^2 = (y^2-1)/(y^2-1)

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