Adding and Subtracting Algebraic Fractions

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 the same denominator?

Back

To add algebraic fractions with the same denominator, you add the numerators and keep the denominator the same.

Front

How do you subtract algebraic fractions with the same denominator?

Back

To subtract algebraic fractions with the same denominator, you subtract the numerators and keep the denominator the same.

Front

What is the first step in adding or subtracting algebraic fractions with different denominators?

Back

The first step is to find a common denominator.

Front

How do you find a common denominator for algebraic fractions?

Back

The common denominator is typically the least common multiple (LCM) of the denominators.

Front

What is the process to simplify an algebraic fraction?

Back

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

Front

What does it mean to 'simplify' an expression?

Back

To simplify an expression means to reduce it to its simplest form, making it easier to understand or work with.

Front

What is the simplified form of (6x + 1) / (20xy)?

Back

The simplified form is (6x + 1) / (20xy) as it cannot be simplified further.

Front

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

Back

The simplified form is 3 / 10y.

Front

What is the importance of factoring in adding and subtracting algebraic fractions?

Back

Factoring helps to identify common factors that can be canceled, simplifying the fractions.