Complex Fractions Practice

Front

What is a complex fraction?

Back

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

Front

What is the first step in simplifying a complex fraction?

Back

Re-write as side-by-side division.

Front

When dividing by a fraction, what operation are you actually performing?

Back

Multiplication by the reciprocal of that fraction.

Front

What does dividing two fractions ultimately require?

Back

Factoring and/or reducing common factors.

Front

How do you convert a complex fraction into a simpler form?

Back

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

Front

What is the reciprocal of a fraction?

Back

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

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 simplify the fraction 3/4 ÷ 2/5?

Back

Multiply by the reciprocal: 3/4 × 5/2 = 15/8.

Front

What is the result of dividing a number by 1?

Back

The result is the number itself.

Front

What is the process of reducing a fraction?

Back

Dividing the numerator and denominator by their greatest common factor (GCF).