Operations with Fractions and Mixed Numbers

This video tutorial covers the multiplication and division of fractions and mixed numbers. It begins with an introduction to the concepts, followed by detailed examples of multiplying fractions, multiplying fractions by whole numbers, and multiplying mixed numbers. The tutorial then shifts to dividing fractions and mixed numbers, demonstrating both direct division and the reciprocal method. Each section includes pauses for viewers to solve problems independently before solutions are explained.

What is the result of multiplying 3/4 by 4/5?

• 12/20

• 1/2

• 3/5

• 4/5

How do you simplify the fraction 12/20?

• Multiply both numerator and denominator by 2

• Divide both numerator and denominator by 4

• Divide both numerator and denominator by 2

• Multiply both numerator and denominator by 4

How can you convert a whole number to a fraction?

• Write it over 1

• Multiply it by 1

• Divide it by 2

• Subtract 1 from it

What is the result of multiplying 2/5 by 6?

• 2/5

• 12/5

• 6/5

• 1/5

How do you convert a mixed number to an improper fraction?

• Multiply the whole number by the denominator and add the numerator

• Add the whole number to the fraction

• Divide the whole number by the fraction

• Subtract the numerator from the whole number

What is the result of multiplying 2 1/3 by 1 1/2?

• 3 1/2

• 3 1/3

• 3 1/4

• 3 1/5

What is the result of dividing 8/21 by 2/3?

• 2/3

• 8/7

• 4/7

• 3/4

What is the reciprocal of 2/3?

• 3/1

• 2/1

• 3/2

• 1/2

What is the result of dividing 3 3/4 by 1 1/2?

• 2 1/2

• 2 1/3

• 2 1/4

• 2 1/5

What is the first step in dividing mixed numbers?

• Subtract the fractions

• Multiply the whole numbers

• Add the fractions

• Convert them to improper fractions