Algebraic Equations with Fractions

Covid-19 has led the world to go through a phenomenal transition .

E-learning is the future today.

Stay Home , Stay Safe and keep learning!!!

Rules for solving Algebraic Equations with Fractions

1) Find the common denominator (LCM).
2) Multiply the whole Algebra Equation by LCM.
3) Solve it as a normal equation.

 Example 1: x 5 --- - --- = 6 3 2 LCM of 3 and 2 = 6 Multiply both side by 6 x 5 [--- - --- = 6 ] x 6 3 2 2x - 15 = 36 + 15 = + 15 ------------------ 2x 51 ---- = ------ 2 2 x = 51 / 2 Check : For x = 51 / 2 ; Left side = 51 / ( 2 x 3) - 5 / 2 = 17 / 2 - 5 /2 = 12 / 2 = 6 = Right side Example 2: x x --- + --- = 8 3 5 LCM of 3 and 5 = 15 Multiply both side by 15 x 5 [--- + --- = 8 ] x 15 3 5 5x + 3x = 120 8x = 120 8x 120 ---- = ---- 8 8 x = 15 Check : For x = 15; Left side = 15 / 3 + 15 / 5 = 5 + 3 = 8 = Right side
 1 2 --- + --- = 3 x x LCM = x Multiply both side by x 1 2 [--- + --- = 3 ] X x x x 1 + 2 = 3x 3 = 3x ⇒ x = 1 Check : For x = 1 ; Left side = 1 / 1 + 2 / 1 = 1 + 2 = 3 = Right side

Linear Equation in One Variable

Linear Equation in One Variable
Algebraic Equations with Fractions
Algebra Word Problems
Algebra Rate (upstream and downstream) Problems
Algebra Age Problems
Algebra Digit Problems