How Do You Solve a Rational Equation by LCD Multiplication?

Look at the denominators, and exclude any values that make the denominator equal to 0
Multiply by the LCD on both sides of the equation to eliminate the fractions

1. We need to exclude any values that will make any of the denominators equal to 0
2. If t=0 then the denominators will be 0, so we need to exclude it
1. We can multiply the entire equation by the least common denominator to eliminate the fractions
2. That will make the equation much easier to solve!
3. The LCD between our three fractions is 5t
1. Multiply by 5t on both sides of the equation
2. This will eliminate the fractions and make our equation easier to solve
1. Cancel common factors to simplify
1. Since t=5 is not our excluded value of 0, we have our answer!
1. We need to exclude any values that will make any of the denominators equal to 0
2. If t=0 then the denominators will be 0, so we need to exclude it
1. We can multiply the entire equation by the least common denominator to eliminate the fractions
2. That will make the equation much easier to solve!
3. The LCD between our three fractions is 15t
1. Multiply by 15t on both sides of the equation
2. This will eliminate the fractions and make our equation easier to solve
1. Cancel common factors to simplify
1. Since t does not equal 0 it is not our excluded value, so t = 25/9 is our answer!
1. Plug 25/9 in for t into the original equation to see if we get a true statement
1. If you have a fraction in the denominator, you can flip it over and put it in the numerator

Solve for t: 1/t+2/t=3/5 Solve for t: 1/t+2/3t=3/5