Mathematics - 0580 CIE

Algebraic Fractions

Gbogbo ọrọ náà

Algebraic fractions are fractions whose numerators and denominators contain letters. They behave exactly like ordinary fractions, but factorising first often reveals a common factor that cancels, turning a fearsome-looking expression into something simple.

In this lesson (Extended tier) you will simplify algebraic fractions by factorising and cancelling, and add, subtract, multiply and divide rational expressions.

Ebumnobi

  1. Manipulate algebraic fractions.
  2. Factorise and simplify rational expressions.

Nkuzi Olu

Gee ntị na nkuzi a na ngwa

Maapụ uche

E seela isiokwu a ka ị hụ otu echiche si ejikọta.

Mepee maapụ uche na ngwa

Kaadị ncheta

Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.

Mee omume kaadị ndị a na ngwa

Akwụkwọ Ọmụmụ

The same fraction rules you know from arithmetic carry straight over to algebra. Factorising to cancel is the key extra step, and it appears throughout Extended algebra.

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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Algebraic Fractions. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

  1. Simplify (x^2 + 5x)/(x^2 - 25). A. x/(x - 5) B. x/(x + 5) C. (x + 5)/(x - 5) D. x - 5 Answer: A
  2. Simplify (2/x) x (x^2/3). A. 2x/3 B. 2/(3x) C. 2x^2/3 D. x/3 Answer: A
  3. Simplify 1/x + 1/(2x). A. 2/(3x) B. 3/(2x) C. 1/(3x) D. 2/x Answer: B
  4. Before cancelling an algebraic fraction you should first: A. add the terms B. factorise top and bottom C. multiply out D. square both sides Answer: B
  5. Simplify (6x)/(3x^2). A. 2/x B. 2x C. 3x D. 1/(2x) Answer: A

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Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Algebraic Fractions? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

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