Solve real world problems involving multiplication of fractions and mixed numbers

What you'll learn

1. Recognize multiplication situations in word problems, including identifying the word "of" as a signal for multiplication (e.g., "2/3 of 24" means 2/3 × 24)
2. Use visual fraction models — area models, tape diagrams, and fraction bars — to represent and solve real-world multiplication problems involving fractions
3. Write a multiplication equation that models a given word problem, clearly identifying the factors and the product in context
4. Solve problems involving a fraction times a whole number, a fraction times a fraction, and a fraction times a mixed number, interpreting the result in the context of the problem
5. Estimate products before computing to check reasonableness, using benchmarks such as "the product must be less than both factors when both are less than 1" and "a fraction of a quantity is less than that quantity"

Prerequisites

• Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction