Fraction Operations and Simplification

This video tutorial covers the multiplication of fractions, focusing on simplifying fractions to their lowest terms before multiplying numerators and denominators. It provides several examples, demonstrating how to handle simple fractions, identify common factors, cancel terms, and work with improper fractions and mixed numbers. The tutorial emphasizes the importance of simplification in achieving the correct answer and offers practice problems for viewers to solve independently.

What is the first step in multiplying fractions?

• Add the fractions

• Multiply the numerators

• Multiply the denominators

• Simplify the fractions

In Example A, what is the product of 1/2 and 3/4?

• 3/4

• 1/8

• 3/8

• 1/6

Why is the fraction 3/8 already simplified in Example A?

• Because 3 and 8 are both even numbers

• Because 3 and 8 have no common factors other than 1

• Because 3 is a prime number

• Because 8 is a multiple of 2

In Example B, what common factor is canceled before multiplying 5/12 and 10/14?

• 5

• 7

• 2

• 10

What is the simplified product of 5/12 and 10/14 in Example B?

• 5/7

• 50/168

• 10/24

• 25/84

In Example C, what is the simplified product of 15/30 and 7/28?

• 1/4

• 1/16

• 1/8

• 1/2

What is the product of 5/3 and 8/9 in Example D?

• 8/3

• 5/27

• 15/24

• 40/27

How can the improper fraction 40/27 be expressed as a mixed number?

• 1 12/27

• 1 13/27

• 1 15/27

• 1 14/27

In Example E, what is the simplified product of 24/12 and 15/10?

• 24/10

• 48/25

• 12/5

• 48/50

In Example F, what is the simplified product of 8/35 and 7/25?

• 1/25

• 8/5

• 8/25

• 1/5