Worksheet: Simplifying Complex Fractions

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In this worksheet, we will practice simplifying complex fractions involving monomials or polynomials.

Q1:

Consider the expression . It is often easier to rewrite the expression using the division symbol as follows: 3𝑥𝑦5𝑥𝑦÷6𝑥5𝑦. Then, we can rewrite the expression using the multiplication symbol: 3𝑥𝑦5𝑥𝑦×5𝑦6𝑥. Now, use this form to help you simplify the original expression.

  • A 𝑦 2 𝑥
  • B 5 𝑦 2 𝑥
  • C 5 𝑦 2 𝑥
  • D 𝑦 2 𝑥
  • E 𝑦 2 𝑥

Q2:

Simplify the expression .

  • A 6 𝑥 𝑦
  • B 3 𝑥 5 𝑦
  • C 3 𝑥 5 𝑦
  • D 3 𝑥 5 𝑦
  • E 6 𝑥 𝑦

Q3:

Simplify 3+1− completely.

  • A 𝑥 𝑥 − 5
  • B 3 𝑥 + 1 5 𝑥 − 2 5
  • C 3 𝑥 𝑥 − 5
  • D 3 𝑥 − 5
  • E 𝑥 − 5 3 𝑥

Q4:

Simplify the function 𝑛(𝑥)=7𝑥+𝑥+, and find its domain in ℝ.

  • A 𝑛 ( 𝑥 ) = 7 , domain =ℝ
  • B 𝑛 ( 𝑥 ) = 1 7 , domain =ℝ−{−6,−3}
  • C 𝑛 ( 𝑥 ) = 1 7 , domain =ℝ−{−6}
  • D 𝑛 ( 𝑥 ) = 7 , domain =ℝ−{−6}
  • E 𝑛 ( 𝑥 ) = 7 , domain =ℝ−{−6,−3}

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