Students are going to take a deeper dive into fractions in this unit! Learners will apply previous understanding of finding equivalent fractions, and converting between fractions and mixed numbers to work with fractions in more complex ways. Students will continue to use visual models to learn and practice adding, subtracting, multiplying and dividing fractions.
Word Problems: Multiplying Fractions by Whole Numbers
In this lesson, students will create story problems to match mathematical expressions involving multiplying fractions by whole numbers. Use it on its own or as support to the lesson Multiplication Models: Fractions and Whole Numbers.
Multiplying Whole Numbers and Fractions: Illustrated!
Give your students insight into what’s going on when you multiply a whole number and a fraction! Use this lesson plan to teach your students to illustrate products of whole numbers and fractions using number lines.
Multiplying fractions is a great starting place if your child is just starting to learn how to do arithmetic with fractions. This skill is usually taught starting in fourth grade, so if your student has already learned about the different types of fractions, dive into our resources to help them master multiplying fractions before they move on to more complex concepts.
Learn More About Multiplying Fractions
Multiplying fractions is one of the easier tasks to complete because there are not as many rules. Below is a step by step guide in how to multiply proper, improper, and mixed fractions.
If both fractions have a numerator and a denominator, the rules are very simple:
Fractions and Whole Numbers
If you are trying to multiply a fraction by a whole number, convert the whole number into a fraction by giving it a denominator of 1 (3 would become 3⁄1 ), and then follow the general rules of multiplying fractions.
In order to multiply mixed fractions, you will have to know how to convert back and forth between a mixed fraction and improper fraction. If your child needs help with this concept, take a look at Fractions Basics at the bottom of the Fractions page and work through some of the worksheets.
Convert the mixed fraction into an improper fraction
Multiply the fractions by using the general rules
Convert the product back to a mixed fraction
Use these rules to work through the various worksheets and exercises on this page until your child is a professional fraction multiplier!