Solving Rational Equations

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TO SOLVE A PROPORTION:

Cross-Multiply:

*Multiply the numerator on the left times the denominator on the right and write the result.

*Write the equal sign.

*Multiply the denominator on the left times the numerator on the right and write the result.

*Solve the new equation, which now contains no fractions,

EXAMPLE:
 

 

 

 

TO SOLVE AN EQUATION THAT IS NOT A PROPORTION:

*Find the LCD of all fractions in the equation.

*Multiply every term (not just the fractions) in the equation by the LCD (NOT in a form of 1!!!)

*All of the denominators in the equation should have cancelled.

*Solve the new equation, which now contains no fractions.

 

EXAMPLE: