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.

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.

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.

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.