Solve The Equation Solve The Equation To solve equation with fraction, we change it into an equation without fraction. By this technique we know how to solve the equation. This technique is known as clearing. Before solving these types of equation you have to recall all the rules for adding, subtraction, multiplying and dividing fractions. In such equations, firstly we take the constant term to one side of the equation and variables are taken on another side. And solve the equation and after solving we get the value of unknown variables. There are some steps which explain how to solve equations with fractions : Step1: In the first step Multiply both side of the equation by both LCM of the denominator. Step 2: After solving every denominator will then cancel, after this we will get the equation without Fractions. Step3: After that we find the L.C.M. and multiply the L.C.M. on both side of the equation.

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We have to follow these steps to solve the equation. It will be clearer with the help of the example. Example: -

x + x –4 = 8; solve the equations with fractions? 8

Solution: -

8

x + x –4 = 8; 8

8

The LCM of 4 and 8 is 8. Therefore multiply every term on both sides by the value 8. 2x + x –4 = 8; 8 2x + x – 4 = 64; On further solving this equation we get 3x = 64 + 4; 3x = 68, X = 68/ 3; After solving we get the value of x = 68/ 3. Example 2: -

x - 6x = 1 ; solve the equations with fractions?

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3 Solution:-

8

9

x - 6x = 1;

3 8 9 Multiply both side of the equation by both LCM of the denominator. After solving every denominator will then cancel, after this we will get the equation without Fractions. The LCM of 3, 8 and 9 is 8. Therefore multiply every term on both side by the value 72. x - 6x = 1, 3

8

9

24x â€“9x = 1; 72

9

33x = 8; X =8; 33 After solving the equation we get the value of x = 8 /33

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