Dividing Fractions and Mixed Numbers Explained

This video tutorial for sixth graders covers the process of dividing fractions and mixed numbers. It begins with an introduction to the topic, followed by an explanation of reciprocals, also known as multiplicative inverses, which are essential for division. The tutorial provides two examples: one involving simple fractions and another with mixed numbers. The steps include converting mixed numbers to improper fractions, multiplying by the reciprocal, and simplifying the result. The video emphasizes the 'keep, change, flip' method and offers guidance on converting improper fractions back to mixed numbers.

Why is it important to be comfortable with multiplying fractions before learning to divide them?

• Because division of fractions involves multiplication by the reciprocal

• Because division is the same as addition

• Because division does not involve fractions

• Because division is easier than multiplication

What is the first step in dividing mixed numbers?

• Convert fractions to mixed numbers

• Subtract the fractions

• Add the fractions

• Convert mixed numbers to improper fractions

What does the 'keep' step in 'keep, change, flip' refer to?

• Keep the second fraction the same

• Keep the first fraction the same

• Keep the operation the same

• Keep the fractions as mixed numbers

What is another term for a reciprocal?

• Subtractive inverse

• Multiplicative inverse

• Additive inverse

• Divisive inverse

What is the reciprocal of 2/3?

• 3/2

• 1/2

• 2/1

• 3/1

In the example 2/3 divided by 1/5, what is the new multiplication problem?

• 1/5 times 2/3

• 5/1 times 2/3

• 2/3 times 1/5

• 2/3 times 5/1

What is the result of 2/3 times 5/1?

• 2/5

• 3/10

• 5/3

• 10/3

How do you convert 4 1/3 to an improper fraction?

• 13/3

• 3/4

• 12/3

• 4/3

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

• 5/2

• 2/5

• 4/2

• 3/2

What is the final result of 13/3 divided by 5/2?

• 10/13

• 13/10

• 15/26

• 26/15