Simplifying Algebraic Fractions

Flashcards for simplifying algebraic fractions.

Simplifying Fractions

Break down the numerator and denominator into smaller numbers and cancel common factors.

Reducing 12/15

12 = 4 x 3, 15 = 5 x 3, so 12/15 reduces to 4/5.

Reducing 12/28

12 = 4 x 3, 28 = 4 x 7, so 12/28 reduces to 3/7.

Reducing 54/30

54 = 9 x 6, 30 = 5 x 6, so 54/30 reduces to 9/5.

Reducing 120/96

120 = 12 x 10 = 4 x 3 x 5 x 2, 96 = 2 x 48 = 2 x 12 x 4 = 2 x 3 x 4 x 4, so 120/96 reduces to 5/4.

Reducing 840/1050

840 = 84 x 10 = 2 x 42 x 10 = 2 x 7 x 6 x 10, 1050 = 105 x 10 = 5 x 21 x 10 = 5 x 7 x 3 x 10, so 840/1050 reduces to 4/5.

Simplifying x^4 / x

x^4 = x * x * x * x, so x^4 / x = x^3.

Simplifying y^2 / y^5

y^2 = y * y, y^5 = y * y * y * y * y, so y^2 / y^5 = 1 / y^3.

Simplifying 9x^2 / 15x^5

9x^2 = 3 * 3 * x * x, 15x^5 = 5 * 3 * x * x * x * x * x, so 9x^2 / 15x^5 = 3 / 5x^3.

Simplifying 21x^2y^3 / 35xy^6

21x^2y^3 = 3 * 7 * x * x * y * y * y, 35xy^6 = 5 * 7 * x * y * y * y * y * y * y, so 21x^2y^3 / 35xy^6 = 3x / 5y^3.

Simplifying 60x^3y^7 / 48x^5y^4

60x^3y^7 = 5 * 12 * x * x * x * y * y * y * y * y * y * y, 48x^5y^4 = 4 * 12 * x * x * x * x * x * y * y * y * y, so 60x^3y^7 / 48x^5y^4 = 5y^3 / 4x^2.