solve fractions equations

There are simple steps to be followed to solve equations involving fractions. In the previous section we have studied the various types of equations involving fractions. Let us find more example..

Solve (1 + Sin x)/ Cos x + (Cos x )/(1 + Sin x) = 4 Solution : (1 + Sin x)/ Cos x + (Cos x )/(1 + Sin x) = 4 Cos x ≠ 0 -> x ≠ π/2 ± nπ And Sin x ≠ - 1 -> x ≠ 3π/2 ± 2nπ So {± π/2 ± nπ } must not be included ..

Procedure: When the numerator and the denominator of a fraction is multiplied or divided by the same non- zero number the value of the function remains the same. 2/3 = 2*7 / 3*7 = 14/21 27/36 = 27÷9 / 36÷9 = 3/..

Illustration shown below is a self explanatory problem to show how to do partial fraction using cover up method and this is the easiest method of all the thre..

Example for Method 1: Solve 14 + 2 - 16 2 3 4 = 7 + 2/3 - 4 (On simplifying 14/2 and 16/4 we get 7 and 3 respectively) = 3 + 2/3 (LCM of two terms 3 and 2/3 is 3) = 9 + 2 3 = 11..

Solved Example Multiplying the fractions ½ and 2/5 Solution : ½ x 2/5 = 1 x 2 / 2 x 5 = 2/10 = 1/5 (After simplificatio..

Example 1. Using this concept we can solve equations with fraction. (x+2) x------- = --- 3 5(x+2) * 5 x * 3------ = --- 3 * 5 5 * 3 5x + 10 3x---------- = ---- 15 15 Since denominators are same, 5x + 10 = ..

To decompose any fraction to partial fraction one has to follow the steps below with this example. Given fraction can be written as : p B -------- = A + -------- p + a p + a Consider A, B and a are constants. Multiply both sides by..

There are three methods of doing partial fractions, they are 1. Substitution of strategic values 2. Solving with co-efficient 3. Cover up metho..

A fraction is a part of the whol..