Multiply and Divide Fractions

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, a/b ÷ c/d = a/b × d/c.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, a/b × c/d = (a × c) / (b × d).

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction a/b is b/a. It is obtained by swapping the numerator and denominator.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

How do you convert a whole number to a fraction?

Back

To convert a whole number to a fraction, place the whole number over 1. For example, 3 becomes 3/1.

Front

What is the lowest terms of a fraction?

Back

A fraction is in lowest terms when the numerator and denominator are coprime, meaning they have no common factors other than 1.

Front

What is the result of dividing a fraction by itself?

Back

Dividing a fraction by itself always results in 1, as long as the fraction is not zero.

Front

How do you find the product of mixed numbers?

Back

To find the product of mixed numbers, first convert them to improper fractions, then multiply the fractions and simplify if necessary.

Front

What is the relationship between multiplication and division of fractions?

Back

Multiplication of fractions is the inverse operation of division. Dividing by a fraction is equivalent to multiplying by its reciprocal.

Front

What is a common mistake when dividing fractions?

Back

A common mistake is to multiply the fractions instead of using the reciprocal of the second fraction.