Algebraic Fractions Quick Check

Front

What is an algebraic fraction?

Back

An algebraic fraction is a fraction in which the numerator and/or the denominator are algebraic expressions.

Front

How do you add algebraic fractions with different denominators?

Back

To add algebraic fractions with different denominators, find a common denominator, convert each fraction, and then add the numerators.

Front

What is the process for subtracting algebraic fractions?

Back

Similar to addition, find a common denominator, convert the fractions, and subtract the numerators.

Front

How do you multiply algebraic fractions?

Back

To multiply algebraic fractions, multiply the numerators together and the denominators together.

Front

What is the rule for dividing algebraic fractions?

Back

To divide algebraic fractions, multiply by the reciprocal of the second fraction.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.

Front

How do you simplify an algebraic fraction?

Back

To simplify an algebraic fraction, factor the numerator and denominator and then cancel out any common factors.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

Front

What is the result of -5/3x - 9/x?

Back

-32/3x

Front

What is the result of 3m/7 + m/4?

Back

19m/28