Mastering Division of Fractions

This video tutorial from Math Antics explains how to divide fractions by using reciprocals. It begins with an introduction to reciprocals, which are fractions with their numerator and denominator swapped. The video demonstrates that multiplying a fraction by its reciprocal results in one, and explains how this concept simplifies fraction division. By multiplying by the reciprocal of the divisor, division problems can be converted into multiplication problems, which are easier to solve. The tutorial includes examples to illustrate the process and concludes with a reminder to practice the skills learned.

What is a reciprocal in mathematics?

• A fraction with the same numerator and denominator

• A fraction where the numerator and denominator are switched

• A fraction multiplied by itself

• A fraction divided by itself

What happens when you multiply a fraction by its reciprocal?

• You get 0

• You get the same fraction

• You get 1

• You get the reciprocal of the fraction

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

How can you simplify dividing by a fraction?

• By adding the fractions

• By subtracting the fractions

• By multiplying by the reciprocal of the fraction

• By dividing by the reciprocal of the fraction

Tags

CCSS.6.NS.A.1

What is the reciprocal of 2/7?

• 2/1

• 7/1

• 7/2

• 1/2

In the problem 3/4 divided by 2/7, what is the first step?

• Multiply 3/4 by 2/7

• Divide 3/4 by 7/2

• Multiply 3/4 by 7/2

• Divide 3/4 by 2/7

Tags

CCSS.6.NS.A.1

What mistake do students often make when dividing fractions?

• Taking the reciprocal of both fractions

• Both A and B

• Not taking any reciprocal

• Taking the reciprocal of the first fraction

Tags

CCSS.6.NS.A.1

What is the result of 3/4 divided by 2/7?

• 21/8

• 3/14

• 14/3

• 8/21

Tags

CCSS.6.NS.A.1

In the problem 15/16 divided by 9/22, what is the first step?

• Multiply 15/16 by 22/9

• Divide 15/16 by 9/22

• Divide 15/16 by 22/9

• Multiply 15/16 by 9/22

Tags

CCSS.6.NS.A.1

What is the result of 15/16 divided by 9/22?

• 22/16

• 330/144

• 144/330

• 15/9

Tags

CCSS.6.NS.A.1

How can you simplify a complex fraction division problem?

• By dividing by the reciprocal of the top fraction

• By adding the fractions

• By multiplying by the reciprocal of the bottom fraction

• By subtracting the fractions

Tags

CCSS.7.NS.A.2B