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expression. An expression in which both numerator and denominator or either one contains a rational expression is known as a complex rational expressions. The complex rational expressions may contain algebraic fractional expression or just a fraction. There are 2 methods to solve complex fractions. One is finding common denominator for each expression and simplifying. The 2

(Now simplify denominator) 4 - (3/ x^2) = (4x^2 - 3) / x^2

Now inverse the denominator fraction and multiply numerator and denominator we get, (2(x + 1) /x ) (x^2 /

(4x^2 - 3))

2(x+1 ) x

= -------------- = (2x^2+2x) / (4x^2-3)

4x^2 - 3

3/(q-1) + 1/(q-2) = [(3q-6)+(q-1)]/(q-1)(q-2)

Simplify denominator we get

5/q-2 + 2/q-1 = [5(q-1)+2(q-2)]/(q-2) (q-1)

When we reverse the denominator fraction we can multiply it with numerator

[(3q-6) + (q-1)] x (q-2) (q-1) 3(q-2)+(q-1) 4q-7

------------------------------------------------ = ------------------------- = --------------

(q-1)(q-2) x [5(q-1)+2(q-2)] 5(q-1)+2(q-2) 7q-9