Common Factors and Mixed Numbers

The video tutorial explains how to multiply mixed numbers by first converting them into improper fractions. It emphasizes simplifying fractions by identifying common factors and using prime factorization. The tutorial provides a detailed example, demonstrating the process of multiplying fractions and converting the result back into a mixed number.

What is the first step in multiplying mixed numbers?

• Divide the fractions

• Multiply the whole numbers

• Convert them to improper fractions

• Add the whole numbers together

How do you convert three and three-fourths into an improper fraction?

• 18/4

• 15/4

• 12/4

• 9/4

What is a common factor between 5 and 15?

• 7

• 5

• 2

• 3

Why is it useful to rewrite numbers as products of primes?

• To make them smaller

• To convert them to decimals

• To make them larger

• To simplify the multiplication process

What is the product of three times seven in the simplified fraction?

• 28

• 35

• 21

• 14

How do you convert 21/2 into a mixed number?

• 12 and 1/2

• 9 and 1/2

• 11 and 1/2

• 10 and 1/2

What is the improper fraction form of four and one-fourth?

• 15/4

• 16/4

• 18/4

• 17/4

What is a common factor between 4 and 10?

• 3

• 2

• 5

• 7

What is the product of 17 times 5 in the second example?

• 80

• 85

• 90

• 75

How do you express 85/6 as a mixed number?

• 13 and 1/6

• 14 and 1/6

• 15 and 1/6

• 16 and 1/6