Mathematics - International - 0607 CIE

Algebraic Fractions

Bayani Gaba-gaba

An algebraic fraction is just a fraction with letters in it, and the same rules you already know for ordinary fractions still apply. The art is in factorising the top and bottom so that common factors can be cancelled, turning a heavy-looking expression into something clean and simple.

In this lesson you will simplify algebraic fractions by cancelling common factors, then move to the Extended skills of adding, subtracting, multiplying and dividing them, and of factorising and simplifying rational expressions. These techniques are the workhorses behind solving equations and rearranging formulas later in the course.

Manufura

  1. 1 Simplify algebraic fractions.
  2. Manipulate algebraic fractions. (Extended only)
  3. Factorise and simplify rational expressions. (Extended only)

Takardar Darasi

Algebraic fractions appear whenever a relationship involves division: in rates, in formulas rearranged to make a new subject, and in solving equations with variables in the denominator. Being able to simplify them keeps your working short and your answers tidy, and it is a skill examiners test directly and rely on inside longer questions.

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Nazarin Darasi

Barka da kammala darasi akan Algebraic Fractions. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

  1. Simplify 6x^2 / 9x. A. 2x/3 B. 3x/2 C. 2/(3x) D. 6x/9 Answer: A
  2. Simplify (x^2 - 9) / (x^2 + 5x + 6). A. (x-3)/(x+2) B. (x+3)/(x+2) C. (x-3)/(x-2) D. x - 3 Answer: A
  3. Express 2/x + 3/(x+1) as a single fraction. A. 5/(2x+1) B. (5x+2)/(x(x+1)) C. 6/(x(x+1)) D. (5x-2)/(x(x+1)) Answer: B
  4. Simplify (x/4) divided by (x^2/8). A. x/2 B. 2/x C. x^3/32 D. 8/(4x) Answer: B
  5. Which of these may be cancelled in a fraction? A. An added term B. A subtracted term C. A common factor D. Any letter Answer: C

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
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Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

Yi Aikin Tambayoyin Gwaji

Kana son yin aikin tambayoyin gwaji kan Algebraic Fractions? Sauke manhajar Green Bridge CBT don samun tambayoyin gwaji da cikakkun jarrabawa akan wannan batu.

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