Rational Expressions Like Denominators

Front

What is a rational expression?

Back

A rational expression is a fraction where both the numerator and the denominator are polynomials.

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel out any common factors.

Front

What does it mean to have like denominators?

Back

Like denominators are denominators that are the same or can be made the same, allowing for easy addition or subtraction of fractions.

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 find the least common denominator of 3/8 and 2/8?

Back

The least common denominator of 3/8 and 2/8 is 8, as it is the only denominator present.

Front

What is the result of adding 3/8 and 2/8?

Back

The result of adding 3/8 and 2/8 is 5/8.

Front

How do you subtract fractions with like denominators?

Back

To subtract fractions with like denominators, subtract the numerators and keep the denominator the same.

Front

What is the result of 6/12 - 3/12?

Back

The result of 6/12 - 3/12 is 3/12.

Front

What is the first step in simplifying the expression 6x / 20xy?

Back

The first step is to factor out the common terms in the numerator and denominator.

Front

What is the simplified form of 6x / 20xy?

Back

The simplified form of 6x / 20xy is 3 / 10y.