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PDF Examples of Simplifying Negative Exponents and Fractions

points of a function) we may need to simplify our expression to do so This page contains examples of how to simplify fractions and negative exponents which you as a student may encounter on either the Practice Test or Skills Test Example 1: Simplify the following expression: ( − )−1 −1−

PDF Algebraic Fractions

Simplifying fractions Remember = = because 18 and 24 have a common factor of 6 and = because 5 and 20 have a common factor of 5 Algebraic fractions may be simplified in a similar way by cancelling factors that are common to the numerator and denominator Examples 1 = = 2 = = a≠0 3 = = m –n ≠0

PDF Simplifying Algebraic Fractions

so that we can concentrate only on simplifying the algebraic fractions Examples: Simplify each of the following 37 2 9 2 83 1 2 3 12 3 2 15 xy x x xy x x x −− 25 − −− Remember to simplify algebraic fractions we must factor first! 1 This example is a monomial divided by a monomial We can use the rules for simplifying

  • What is the numerator of a partial fraction?

    In general the numerator of a partial fraction is a polynomial of degree one less than the factor in the denominator. Note the special case of repeated factors, example (2) above. 2 Express x 2 x 3 as the sum of partial fractions. Each linear factor in the denominator factor has one corresponding partial fraction, a constant as the numerator.

  • How can algebraic fractions be simplified?

    Algebraic fractions may be simplified in a similar way by cancelling factors that are common to the numerator and denominator. 1. = = 2. = = , a≠0 3. , m –n ≠0 [m-n can be cancelled providing m ≠ n] 4. [Factorising helps you to see factors! ] 5. = - , p – 2 ≠ 0 [it is VERY useful to know that 2 – p = -(p – 2)!] =

Simplifier une fraction (2)

Simplifier une fraction (2)

Simplifier une fraction (1)

Simplifier une fraction (1)

Effectuer des calculs de fractions (2)

Effectuer des calculs de fractions (2)

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