Finding the Product of a Fraction and a Mixed Number Using Area Models

This lesson teaches how to find the product of a fraction and a mixed number using area models. It explains what mixed numbers are, how to convert them into improper fractions, and how to use area models to visualize and solve the problem. The lesson also covers common mistakes students make during conversion and provides a step-by-step guide to calculating the product and simplifying the result.

What is a mixed number?

• A fraction with a larger numerator

• A sum of a whole number and a fraction

• A number with a decimal point

• A number that is always less than one

Which of the following is a common mistake when converting a mixed number to an improper fraction?

• Changing the denominator

• Adding the numerator to the product of the whole number and the denominator

• Leaving the fraction as it is

• Multiplying the whole number by the denominator

How do you correctly convert 2 1/4 to an improper fraction?

• Multiply 2 by 1 and add 4, changing the denominator to 8

• Multiply 2 by 4 and add 1, keeping the denominator as 4

• Multiply 2 by 1 and add 4, keeping the denominator as 4

• Multiply 2 by 4 and add 1, changing the denominator to 8

When using area models, how many sections are each square divided into when multiplying by 1/2?

• 4 sections

• 6 sections

• 10 sections

• 8 sections

What is the final product of 2 1/4 multiplied by 1/2 in simplest form?

• 1 1/4

• 1 1/8

• 1 1/2

• 1 1/6