Rationals: Complex Fractions plus 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

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, you can multiply the numerator and the denominator by the least common denominator (LCD) of the fractions involved.

Front

What is the process for multiplying fractions?

Back

To multiply fractions, multiply the numerators together and multiply the denominators together. Then simplify if possible.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form, which involves combining like terms and eliminating any unnecessary fractions.

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) 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 two fractions?

Back

To find the least common denominator, list the multiples of each denominator and identify the smallest multiple that appears in both lists.

Front

What is the difference between a proper fraction and an improper fraction?

Back

A proper fraction has a numerator that is less than its denominator, while an improper fraction has a numerator that is greater than or equal to its denominator.

Front

What is the first step in simplifying a fraction?

Back

The first step in simplifying a fraction is to find the greatest common factor (GCF) of the numerator and denominator.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) is the largest integer that divides both the numerator and denominator without leaving a remainder.