How Do You Solve a Rational Equation by Adding Fractions?

Look at the denominators, and exclude any values that make the denominator equal to 0

1. We need to exclude any values that will make any of the denominators equal to 0
1. Since the denominators are the same, we can just add the numerators
1. Since the numerators are equal, that means in order to make our equation true the denominators must also be equal
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. In order to add the fractions, we need to find a least common denominator
1. Now that we have common denominators, we can just add the numerators like we did before
1. Since t does not equal 0 it is not our excluded value, so t = 25/9 is our answer!
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