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 any common factors.

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 LCD of 6 and 12?

Back

The LCD of 6 and 12 is 12.

Front

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

Back

The result is 3/12, which simplifies to 1/4.

Front

What does it mean to combine fractions?

Back

Combining fractions involves finding a common denominator and then adding or subtracting the numerators.

Front

How do you add the fractions 1/4 and 1/2?

Back

Convert 1/2 to 2/4, then add: 1/4 + 2/4 = 3/4.

Front

What is the first step in simplifying (2a + 4b) / 12b²?

Back

Factor out the common factor in the numerator: 2(a + 2b) / 12b².

Front

What is the simplified form of (2a + 4b) / 12b²?

Back

The simplified form is (a + 2b) / 6b².

Front

How do you express 7/10 + 2/10 as a fraction?

Back

Add the numerators: 7/10 + 2/10 = 9/10.