Multiplying Fractions and Unit Fractions

The video tutorial explains how fractions can be expressed as multiplication expressions involving whole numbers and unit fractions. It demonstrates this with the example of 3/7, showing how it can be rewritten as 3 times 1/7. The tutorial then explores multiplying whole numbers by non-unit fractions, using 3 times 3/5 as an example, and explains how this can be seen as repeated addition. Models are used to visualize these concepts, and the fraction nine fifths is broken down to show how it can be expressed as a multiplication of a whole number and a unit fraction. The video concludes by summarizing the methods for multiplying whole numbers by fractions.

What is a fraction that can be expressed as a multiplication of a whole number and a unit fraction?

• A fraction with a numerator of 1

• A fraction with a denominator of 1

• A fraction with equal numerator and denominator

• A fraction with a numerator greater than the denominator

What is a unit fraction?

• A fraction with equal numerator and denominator

• A fraction with a denominator of 1

• A fraction with a numerator of 1

• A fraction with a numerator greater than the denominator

How can the fraction 3/7 be represented using a multiplication expression?

• 3 times 7

• 7 times 1/3

• 1/3 times 7

• 3 times 1/7

What does the model of 3/7 show?

• Seven out of three parts are shaded

• Three out of seven parts are shaded

• No parts are shaded

• All parts are shaded

What is the result of multiplying 3 by the fraction 3/5?

• 3/5

• 5/9

• 15/5

• 9/5

What is the repeated addition sentence for 3 times 3/5?

• 5/3 + 5/3 + 5/3

• 3/5 + 3/5 + 5/3

• 3/5 + 5/3 + 3/5

• 3/5 + 3/5 + 3/5

How can 3 times 3/5 be visualized using a model?

• By dividing a whole into 5 equal parts and shading 9 parts

• By dividing a whole into 5 equal parts and shading 3 parts

• By dividing a whole into 3 equal parts and shading 5 parts

• By dividing a whole into 9 equal parts and shading 5 parts

How many parts are shaded in the model for 3 times 3/5?

• Fifteen parts

• Five parts

• Three parts

• Nine parts

How can the fraction 9/5 be expressed as a multiplication of a whole number and a unit fraction?

• 1/9 times 5

• 5 times 1/9

• 9 times 1/5

• 1/5 times 9

What is the multiplication expression for 9/5?

• 1/9 times 5

• 5 times 1/9

• 9 times 1/5

• 1/5 times 9