Mastering the Art of Dividing Fractions

This video tutorial explains how to divide fractions by multiplying by the reciprocal. The instructor emphasizes the importance of this method and provides three examples: dividing simple fractions, another fraction, and mixed numbers. The video also discusses alternative ways to remember the process, such as 'keep, change, flip,' but prefers the term 'multiply by the reciprocal' for its richer mathematical vocabulary. The tutorial concludes with a reminder to use multiplication rules after converting division problems into multiplication problems.

What is the key phrase to remember when dividing fractions?

• Add the opposite

• Multiply by the reciprocal

• Subtract the inverse

• Divide by the reciprocal

What does the phrase 'keep, change, flip' refer to?

• Keep the first fraction, change the operation to addition, flip the second fraction

• Keep the first fraction, change the operation to division, flip the second fraction

• Keep the first fraction, change the operation to subtraction, flip the second fraction

• Keep the first fraction, change the operation to multiplication, flip the second fraction

In the example 3/4 ÷ 1/8, what is the reciprocal of 1/8?

• 4/3

• 1/8

• 3/4

• 8/1

What is the result of 3/4 ÷ 1/8?

• 1/6

• 8/3

• 3/8

• 6

In the example 1/2 ÷ 4/5, what is the reciprocal of 4/5?

• 5/4

• 2/1

• 1/2

• 4/5

What is the result of 1/2 ÷ 4/5?

• 4/5

• 1/8

• 5/8

• 8/5

When dividing mixed numbers, what must they first be converted to?

• Proper fractions

• Whole numbers

• Improper fractions

• Decimals

What is the improper fraction form of 1 3/4?

• 3/4

• 4/7

• 7/4

• 1/4

What is the improper fraction form of 2 1/12?

• 12/25

• 25/12

• 2/12

• 12/2

What is the result of 1 3/4 ÷ 2 1/12?

• 12/7

• 7/12

• 25/21

• 21/25