Objectives:
- Convert a mixed number into an improper fraction, and vice versa.
- Determine the product of two fractions (where the fractions can be negative).
- Reduce or simplify a fraction to its lowest terms.
In your previous math class you learned how to multiply fractions. You were multiplying positive fractions. In today's lesson, you will learn how to multiply two fractions where either one or both fractions are negative.
Please note that there is more than one method that can be used to determine the product of two fractions. I am going to use the most popular method that involves using prime factorization. If you would like to see another method you can check out examples here.
Please note that there is more than one method that can be used to determine the product of two fractions. I am going to use the most popular method that involves using prime factorization. If you would like to see another method you can check out examples here.
Before we begin, do you remember the multiplication rules for integers? If not, let's refresh our minds:
Multiplication Rules
These rules also apply when we are multiplying fractions. Thus, these rules will come in handy for the next
4 examples. Let's take a look below!
4 examples. Let's take a look below!
Example #1
The Product of Two Positive Fractions
Your Turn #1
Click HERE to check your answer.
Example #2
The Product of a Negative Fraction and a Positive Fraction
Your Turn #2
Click HERE to check your answer.
Example #3
The Product of a Positive Fraction and a Negative Fraction
Your Turn #3
Click HERE to check your answer.
Example #4
The Product of Two Negative Fractions
Your Turn #4
Click HERE to check your answer.