Rationals Review

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 and eliminate common factors.

Front

What does LCD stand for in mathematics?

Back

LCD stands for Least Common Denominator, which is the smallest multiple that two or more denominators share.

Front

How do you find the LCD of 5/4 and 2/3?

Back

The LCD of 5/4 and 2/3 is 12.

Front

What is the first step in dividing rational expressions?

Back

The first step in dividing rational expressions is to multiply by the reciprocal of the divisor.

Front

What is the result of (x+3)/(x-4) when x=4?

Back

The expression (x+3)/(x-4) is undefined when x=4 because the denominator becomes zero.

Front

What is the difference between a proper and improper fraction?

Back

A proper fraction has a numerator smaller than its denominator, while an improper fraction has a numerator larger than or equal to its denominator.

Front

What is the process of adding rational expressions with different denominators?

Back

To add rational expressions with different denominators, find the LCD, convert each fraction to an equivalent fraction with the LCD, and then add the numerators.

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

What does it mean to 'eliminate common terms' in rational expressions?

Back

To eliminate common terms means to cancel out factors that appear in both the numerator and the denominator.