Understanding Multiplying Fractions

This video tutorial explains how to multiply fractions using models and shortcuts. It begins with a visual representation of multiplying 1/4 by 2/3, showing how to partition a whole into parts. The tutorial then introduces a shortcut for multiplying fractions by multiplying numerators and denominators directly. An example problem, 3/5 times 2/4, is solved using both the model and the shortcut. The video concludes by discussing equivalent fractions and simplifying the result to find the correct answer.

What are the factors in the example of multiplying fractions discussed in the video?

• Two-thirds and three-fifths

• One-fourth and two-thirds

• Two-fifths and three-fourths

• One-half and three-fourths

How is the fraction two-thirds represented in the model?

• By cutting the whole into halves and shading one

• By partitioning the whole into three parts and shading two

• By shading one-third of the whole

• By dividing the whole into four parts and shading two

What is the product of one-fourth times two-thirds according to the model?

• One-sixth

• Two-twelfths

• Four-twelfths

• Three-eighths

What is the shortcut method for multiplying fractions?

• Divide the numerators and multiply the denominators

• Multiply the numerators and denominators directly

• Multiply the numerators and add the denominators

• Add the numerators and denominators

Using the shortcut method, what is the product of 3/5 and 2/4?

• 7/12

• 3/10

• 6/20

• 5/9

How many parts are there in the model when verifying the product of 3/5 and 2/4?

• 25 parts

• 15 parts

• 10 parts

• 20 parts

What is the equivalent fraction of six-twentieths?

• 5/12

• 1/4

• 2/5

• 3/10

What operation is used to find equivalent fractions?

• Subtraction

• Addition

• Exponentiation

• Multiplication or division

What is the correct answer choice for the product of 3/5 times 2/4?

• 6/20

• 3/10

• 10/12

• 5/9

Why is it important to find equivalent fractions?

• To change the numerators only

• To simplify fractions for easier comparison

• To avoid using models

• To make fractions larger