Home > Algebra > Addition and Subtraction of Rational Expressions

How do you simplify #(17k+14)/9-(12k+1)/9#?

Answer 1

Eva Adamson

#[5k+13]/9#

The fraction have the same denominators so just subtract the numerators. E.g. #5/9-4/9=(5-4)/9=1/9#

#(17k+14)/9-(12k+1)/9=[17k+14-12k-1]/9=[5k+13]/9#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eli Assouline

To simplify the expression (17k+14)/9 - (12k+1)/9, we can combine the two fractions by finding a common denominator, which in this case is 9. Then, we subtract the numerators while keeping the common denominator. This gives us (17k+14 - 12k - 1)/9. Simplifying further, we combine like terms in the numerator to get (5k + 13)/9. Therefore, the simplified expression is (5k + 13)/9.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.