Lesson Worksheet: Simplifying Complex Fractions Mathematics

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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.

  • A𝑦2𝑥
  • B5𝑦2𝑥
  • C5𝑦2𝑥
  • D𝑦2𝑥
  • E𝑦2𝑥

Q2:

Simplify the expression .

  • A6𝑥𝑦
  • B3𝑥5𝑦
  • C3𝑥5𝑦
  • D3𝑥5𝑦
  • E6𝑥𝑦

Q3:

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

  • A𝑛(𝑥)=7, domain =ℝ
  • B𝑛(𝑥)=17, domain =ℝ−{−6,−3}
  • C𝑛(𝑥)=17, domain =ℝ−{−6}
  • D𝑛(𝑥)=7, domain =ℝ−{−6}
  • E𝑛(𝑥)=7, domain =ℝ−{−6,−3}

Q4:

Simplify −−.

  • A2
  • B13
  • C23
  • D53
  • E3

Q5:

Simplify the expression .

  • A9𝑥+1𝑥−1
  • B19
  • C9𝑥+9𝑥−1
  • D𝑥−19𝑥+9
  • E𝑥−19𝑥+1

Q6:

Simplify the expression: +22−.

  • A1
  • B3𝑥−2𝑥−8𝑥−2𝑥−8
  • C3𝑥−2𝑥−8𝑥+2𝑥−8
  • D3𝑥+2𝑥−8𝑥−2𝑥−8
  • E𝑥−2𝑥−83𝑥−2𝑥−8

Q7:

Simplify the expression −+.

  • A𝑥+6𝑥−5𝑥−4𝑥+5
  • B𝑥−5𝑥+5
  • C𝑥−4𝑥𝑥+6𝑥
  • D1
  • E𝑥−4𝑥+5𝑥+6𝑥−5

Q8:

Simplify the expression 2−−2.

  • A2𝑦−𝑥𝑦𝑥−2𝑦
  • B2𝑦−𝑥𝑦𝑥−2𝑦
  • C2𝑦−𝑥𝑦𝑥−2𝑦
  • D2𝑦−𝑥𝑦𝑥−2𝑦
  • E1

Q9:

Simplify the expression 1𝑥−2−1𝑥+2.

  • A4𝑥−2
  • B4𝑥+4
  • C−2𝑥𝑥−2
  • D4𝑥−4
  • E−2𝑥𝑥−4

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