Complex Fractions

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 rewrite it as a division of two fractions and then simplify.

Front

What is the first step in simplifying a complex fraction?

Back

Re-write as side-by-side division.

Front

What does it mean to divide by a fraction?

Back

Dividing by a fraction is equivalent to multiplying by its reciprocal.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Front

How do you convert a complex fraction into a simple fraction?

Back

Multiply the numerator and denominator of the complex fraction by the least common denominator (LCD) of the fractions involved.

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

What is the importance of simplifying fractions?

Back

Simplifying fractions makes calculations easier and helps in understanding the relationship between numbers.

Front

Can complex fractions be simplified further after rewriting?

Back

Yes, after rewriting, you can simplify the resulting fraction if possible.

Front

What is an example of a complex fraction?

Back

An example of a complex fraction is (1/2) / (3/4).