Mathematics (US) - 0444 CIE

Algebraic Fractions

Akopọ

An algebraic fraction is just a fraction with algebra in it, and it obeys exactly the same rules you already know for ordinary fractions. Cancel common factors to simplify, find a common denominator to add, and flip to divide. The only new skill is factoring first so you can see what cancels.

In this lesson you will simplify algebraic fractions and combine them by adding, subtracting, multiplying and dividing. Factoring is the key that unlocks every step: once the numerator and denominator are in factored form, the common factors reveal themselves.

Awọn Afojusun

  1. Simplify algebraic fractions, and add, subtract, multiply and divide them, using factorization where appropriate.

Akọ̀wé Ẹ̀kọ́

Algebraic fractions appear throughout higher mathematics: in rearranging formulas, solving equations and working with rates. The fluency you build here, especially the habit of factoring before you cancel, pays off every time an expression has a fraction in it.

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Oriire fun ipari ẹkọ lori Algebraic Fractions. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.

Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.

Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.

  1. Simplify (x^2 - 9)/(x^2 + 4x + 3). A. (x - 3)/(x + 1) B. (x + 3)/(x + 1) C. (x - 3)/(x + 3) D. (x - 9)/(x + 3) Answer: A
  2. Simplify (2/x) * (x^2/6). A. x/3 B. x^2/3 C. 2/3 D. x/6 Answer: A
  3. Simplify (x/4) / (x/8). A. 1/2 B. 2 C. x^2/32 D. 32/x^2 Answer: B
  4. Simplify 1/x + 1/(2x). A. 2/(3x) B. 1/(3x) C. 3/(2x) D. 2/(2x) Answer: C
  5. In (x + 2)/x, which cancellation is valid? A. Cancel the x to get 2 B. Cancel the x to get 1 + 2 C. No cancellation, since x + 2 is a sum D. Cancel to get (x + 2) Answer: C

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

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Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Algebraic Fractions? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.

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