A2-Review Rationals IFA: Operations w/rationals

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you simplify a rational expression?

Back

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

Front

What are excluded values in rational expressions?

Back

Excluded values are values of the variable that make the denominator zero, which are not allowed in the expression.

Front

What is the process for multiplying rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together, then simplify if possible.

Front

How do you divide rational expressions?

Back

To divide rational expressions, multiply by the reciprocal of the divisor and simplify the resulting expression.

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 add rational expressions?

Back

To add rational expressions, find a common denominator, rewrite each expression with the common denominator, and then combine the numerators.

Front

How do you subtract rational expressions?

Back

To subtract rational expressions, find a common denominator, rewrite each expression with the common denominator, and then subtract the numerators.

Front

What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both contain fractions.

Front

How do you simplify a complex fraction?

Back

To simplify a complex fraction, find a common denominator for the fractions in the numerator and denominator, then simplify.