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, find a common denominator for the fractions in the numerator and denominator, combine them, and then simplify the resulting fraction.

Front

What is the first step in solving a complex fraction?

Back

The first step is to identify the fractions within the numerator and denominator.

Front

What does it mean to find a common denominator?

Back

Finding a common denominator means identifying a number that can be used as a denominator for two or more fractions so that they can be combined or compared.

Front

Example of a complex fraction: (1/2) / (3/4). What is the simplified form?

Back

The simplified form is 2/3.

Front

What is the relationship between complex fractions and division of fractions?

Back

Complex fractions can be simplified by converting them into a division problem, where the complex fraction is divided by the denominator.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

What is the formula for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor: a/b ÷ c/d = a/b × d/c.

Tags

CCSS.6.NS.A.1

Front

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

Back

Multiply the numerator by the reciprocal of the denominator.

Front

What is an example of a complex fraction with variables?

Back

(x/2) / (y/3) is a complex fraction with variables.

Tags

CCSS.5.NF.B.3

Front

How do you handle complex fractions with variables?

Back

Follow the same steps as with numerical complex fractions: find a common denominator, simplify, and then solve.